Composition operators, Aleksandrov measures and value distribution of analytic maps in the unit disc

A composition operator is a linear operator that precomposes any given function with another function, which is held fixed and called the symbol of the composition operator. This dissertation studies such operators and questions related to their theory in the case when the functions to be composed are analytic in the unit disc of the complex plane. Thus the subject of the dissertation lies at the intersection of analytic function theory and operator theory. The work contains three research articles. The first article is concerned with the value distribution of analytic functions. In the literature there are two different conditions which characterize when a composition operator is compact on the Hardy spaces of the unit disc. One condition is in terms of the classical Nevanlinna counting function, defined inside the disc, and the other condition involves a family of certain measures called the Aleksandrov (or Clark) measures and supported on the boundary of the disc. The article explains the connection between these two approaches from a function-theoretic point of view. It is shown that the Aleksandrov measures can be interpreted as kinds of boundary limits of the Nevanlinna counting function as one approaches the boundary from within the disc. The other two articles investigate the compactness properties of the difference of two composition operators, which is beneficial for understanding the structure of the set of all composition operators. The second article considers this question on the Hardy and related spaces of the disc, and employs Aleksandrov measures as its main tool. The results obtained generalize those existing for the case of a single composition operator. However, there are some peculiarities which do not occur in the theory of a single operator. The third article studies the compactness of the difference operator on the Bloch and Lipschitz spaces, improving and extending results given in the previous literature. Moreover, in this connection one obtains a general result which characterizes the compactness and weak compactness of the difference of two weighted composition operators on certain weighted Hardy-type spaces.

Finitary Abstract Elementary Classes

The research in model theory has extended from the study of elementary classes to non-elementary classes, i.e. to classes which are not completely axiomatizable in elementary logic. The main theme has been the attempt to generalize tools from elementary stability theory to cover more applications arising in other branches of mathematics. In this doctoral thesis we introduce finitary abstract elementary classes, a non-elementary framework of model theory. These classes are a special case of abstract elementary classes (AEC), introduced by Saharon Shelah in the 1980's. We have collected a set of properties for classes of structures, which enable us to develop a 'geometric' approach to stability theory, including an independence calculus, in a very general framework. The thesis studies AEC's with amalgamation, joint embedding, arbitrarily large models, countable Löwenheim-Skolem number and finite character. The novel idea is the property of finite character, which enables the use of a notion of a weak type instead of the usual Galois type. Notions of simplicity, superstability, Lascar strong type, primary model and U-rank are inroduced for finitary classes. A categoricity transfer result is proved for simple, tame finitary classes: categoricity in any uncountable cardinal transfers upwards and to all cardinals above the Hanf number. Unlike the previous categoricity transfer results of equal generality the theorem does not assume the categoricity cardinal being a successor. The thesis consists of three independent papers. All three papers are joint work with Tapani Hyttinen.

Yhteistoiminnallinen opetuspaketti lukion pitkän matematiikan Polynomifunktiot-kurssilla käytettäväksi

Tutkielmassa tarkastellaan yhteistoiminnallisen oppimisen soveltamismahdollisuuksia lukion pitkän matematiikan opettamiseen. Tutkielmassa on suunniteltu yhteistoiminnallinen opetuspaketti lukion pitkän matematiikan Polynomifunktiot-kurssille. Tutkielman ensimmäisessä teoriaosassa tarkastellaan yhteistoiminnallisen oppimisen periaatteita ja esitellään neljä yhteistoiminnallisen oppimisen menetelmää: rakenteellinen lähestymistapa, tiimioppiminen ryhmässä, ryhmäavusteinen yksilöllistäminen ja palapeli. Lisäksi teoriaosassa tuodaan esille niitä tekijöitä, jotka opettajan täytyy huomioida soveltaessaan esiteltyjä menetelmiä omaan opetukseensa sekä suunnitellessaan tehtäväkokonaisuuksia. Lopuksi tarkastellaan aiemmin tehtyjä tutkimuksia yhteistoiminnallisen oppimisen soveltamisesta matematiikan opetukseen. Tutkielman toisessa teoriaosassa esitellään klassisen algebran historiaa ja polynomifunktioihin liittyviä määritelmiä, lauseita ja niiden todistuksia sekä esimerkkejä. Opetuspaketti koostuu neljästä tehtäväkokonaisuudesta: epäyhtälön ratkaiseminen, polynomilaskennan kertaus, toisen asteen polynomifunktio ja -yhtälö sekä korkeamman asteen polynomifunktioiden tutkiminen. Lisäksi opetuspaketissa on yleinen esimerkki yhteistoiminnallisen oppitunnin rakenteesta. Opetuspaketin lopussa on raportti eräässä lukiossa suoritetusta testauksesta sekä sen tuloksista. Aiempien tutkimusten sekä tämän tutkielman yhteydessä tehdyn testauksen perusteella voidaan sanoa, että yhteistoiminnallinen oppiminen soveltuu lukion matematiikan opetukseen.

Efficient Content-based Routing, Mobility-aware Topologies, and Temporal Subspace Matching

Event-based systems are seen as good candidates for supporting distributed applications in dynamic and ubiquitous environments because they support decoupled and asynchronous many-to-many information dissemination. Event systems are widely used, because asynchronous messaging provides a flexible alternative to RPC (Remote Procedure Call). They are typically implemented using an overlay network of routers. A content-based router forwards event messages based on filters that are installed by subscribers and other routers. The filters are organized into a routing table in order to forward incoming events to proper subscribers and neighbouring routers. This thesis addresses the optimization of content-based routing tables organized using the covering relation and presents novel data structures and configurations for improving local and distributed operation. Data structures are needed for organizing filters into a routing table that supports efficient matching and runtime operation. We present novel results on dynamic filter merging and the integration of filter merging with content-based routing tables. In addition, the thesis examines the cost of client mobility using different protocols and routing topologies. We also present a new matching technique called temporal subspace matching. The technique combines two new features. The first feature, temporal operation, supports notifications, or content profiles, that persist in time. The second feature, subspace matching, allows more expressive semantics, because notifications may contain intervals and be defined as subspaces of the content space. We also present an application of temporal subspace matching pertaining to metadata-based continuous collection and object tracking.

Indexing Heterogeneous XML for Full-Text Search

XML documents are becoming more and more common in various environments. In particular, enterprise-scale document management is commonly centred around XML, and desktop applications as well as online document collections are soon to follow. The growing number of XML documents increases the importance of appropriate indexing methods and search tools in keeping the information accessible. Therefore, we focus on content that is stored in XML format as we develop such indexing methods. Because XML is used for different kinds of content ranging all the way from records of data fields to narrative full-texts, the methods for Information Retrieval are facing a new challenge in identifying which content is subject to data queries and which should be indexed for full-text search. In response to this challenge, we analyse the relation of character content and XML tags in XML documents in order to separate the full-text from data. As a result, we are able to both reduce the size of the index by 5-6\% and improve the retrieval precision as we select the XML fragments to be indexed. Besides being challenging, XML comes with many unexplored opportunities which are not paid much attention in the literature. For example, authors often tag the content they want to emphasise by using a typeface that stands out. The tagged content constitutes phrases that are descriptive of the content and useful for full-text search. They are simple to detect in XML documents, but also possible to confuse with other inline-level text. Nonetheless, the search results seem to improve when the detected phrases are given additional weight in the index. Similar improvements are reported when related content is associated with the indexed full-text including titles, captions, and references. Experimental results show that for certain types of document collections, at least, the proposed methods help us find the relevant answers. Even when we know nothing about the document structure but the XML syntax, we are able to take advantage of the XML structure when the content is indexed for full-text search.

Computational Techniques for Haplotype Inference and for Local Alignment Significance

This thesis which consists of an introduction and four peer-reviewed original publications studies the problems of haplotype inference (haplotyping) and local alignment significance. The problems studied here belong to the broad area of bioinformatics and computational biology. The presented solutions are computationally fast and accurate, which makes them practical in high-throughput sequence data analysis. Haplotype inference is a computational problem where the goal is to estimate haplotypes from a sample of genotypes as accurately as possible. This problem is important as the direct measurement of haplotypes is difficult, whereas the genotypes are easier to quantify. Haplotypes are the key-players when studying for example the genetic causes of diseases. In this thesis, three methods are presented for the haplotype inference problem referred to as HaploParser, HIT, and BACH. HaploParser is based on a combinatorial mosaic model and hierarchical parsing that together mimic recombinations and point-mutations in a biologically plausible way. In this mosaic model, the current population is assumed to be evolved from a small founder population. Thus, the haplotypes of the current population are recombinations of the (implicit) founder haplotypes with some point--mutations. HIT (Haplotype Inference Technique) uses a hidden Markov model for haplotypes and efficient algorithms are presented to learn this model from genotype data. The model structure of HIT is analogous to the mosaic model of HaploParser with founder haplotypes. Therefore, it can be seen as a probabilistic model of recombinations and point-mutations. BACH (Bayesian Context-based Haplotyping) utilizes a context tree weighting algorithm to efficiently sum over all variable-length Markov chains to evaluate the posterior probability of a haplotype configuration. Algorithms are presented that find haplotype configurations with high posterior probability. BACH is the most accurate method presented in this thesis and has comparable performance to the best available software for haplotype inference. Local alignment significance is a computational problem where one is interested in whether the local similarities in two sequences are due to the fact that the sequences are related or just by chance. Similarity of sequences is measured by their best local alignment score and from that, a p-value is computed. This p-value is the probability of picking two sequences from the null model that have as good or better best local alignment score. Local alignment significance is used routinely for example in homology searches. In this thesis, a general framework is sketched that allows one to compute a tight upper bound for the p-value of a local pairwise alignment score. Unlike the previous methods, the presented framework is not affeced by so-called edge-effects and can handle gaps (deletions and insertions) without troublesome sampling and curve fitting.

Computationally Efficient Methods for MDL-Optimal Density Estimation and Data Clustering

The Minimum Description Length (MDL) principle is a general, well-founded theoretical formalization of statistical modeling. The most important notion of MDL is the stochastic complexity, which can be interpreted as the shortest description length of a given sample of data relative to a model class. The exact definition of the stochastic complexity has gone through several evolutionary steps. The latest instantation is based on the so-called Normalized Maximum Likelihood (NML) distribution which has been shown to possess several important theoretical properties. However, the applications of this modern version of the MDL have been quite rare because of computational complexity problems, i.e., for discrete data, the definition of NML involves an exponential sum, and in the case of continuous data, a multi-dimensional integral usually infeasible to evaluate or even approximate accurately. In this doctoral dissertation, we present mathematical techniques for computing NML efficiently for some model families involving discrete data. We also show how these techniques can be used to apply MDL in two practical applications: histogram density estimation and clustering of multi-dimensional data.

The Mediated Immediacy : João Batista Libanio and the Question of Latin American Liberation Theology

This study is a systematic analysis of mediated immediacy in the production of the Brazilian professor of theology João Batista Libanio. He stresses both ethical mediation and the immediate character of the faith. Libanio has sought an answer to the problem of science and faith. He makes use of the neo-scholastic distinction between matter and form. According to St. Thomas Aquinas, God cannot be known as a scientific object, but it is possible to predicate a formal theological content of other subject matter with the help of revelation. This viewpoint was emphasized in neo-Thomism and supported by the liberation theologians. For them, the material starting point was social science. It becomes a theologizable or revealable (revelabile) reality. This social science has its roots in Latin American Marxism which was influenced by the school of Louis Althusser and considered Marxism a science of history . The synthesis of Thomism and Marxism is a challenge Libanio faced, especially in his Teologia da libertação from 1987. He emphasized the need for a genuinely spiritual and ethical discernment, and was particularly critical of the ethical implications of class struggle. Libanio s thinking has a strong hermeneutic flavor. It is more important to understand than to explain. He does not deny the need for social scientific data, but that they cannot be the exclusive starting point of theology. There are different readings of the world, both scientific and theological. A holistic understanding of the nature of religious experience is needed. Libanio follows the interpretation given by H. C. de Lima Vaz, according to whom the Hegelian dialectic is a rational circulation between the totality and its parts. He also recalls Oscar Cullmann s idea of God s Kingdom that is already and not yet . In other words, there is a continuous mediation of grace into the natural world. This dialectic is reflected in ethics. Faith must be verified in good works. Libanio uses the Thomist fides caritate formata principle and the modern orthopraxis thinking represented by Edward Schillebeeckx. One needs both the ortho of good faith and the praxis of the right action. The mediation of praxis is the mediation of human and divine love. Libanio s theology has strong roots in the Jesuit spirituality that places the emphasis on contemplation in action.

Mikä on ihme ja mitä ihmeistä voidaan tietää? : Keskustelu ihmeistä uusimmassa englanninkielisessä uskonnonfilosofiassa

What is a miracle and what can we know about miracles? A discussion of miracles in anglophone philosophy of religion literature since the late 1960s. The aim of this study is to systematically describe and philosophically examine the anglophone discussion on the subject of miracles since the latter half of the 1960s. The study focuses on two salient questions: firstly, what I will term the conceptual-ontological question of the extent to which we can understand miracles and, secondly, the epistemological question of what we can know about miracles. My main purpose in this study is to examine the various viewpoints that have been submitted in relation to these questions, how they have been argued and on what presuppositions these arguments have been based. In conducting the study, the most salient dimension of the various discussions was found to relate to epistemological questions. In this regard, there was a notable confrontation between those scholars who accept miracles and those who are sceptical of them. On the conceptual-ontological side I recognised several different ways of expressing the concept of miracle . I systematised the discussion by demonstrating the philosophical boundaries between these various opinions. The first and main boundary was related to ontological knowledge. On one side of this boundary I placed the views which were based on realism and objectivism. The proponents of this view assumed that miraculousness is a real property of a miraculous event regardless of how we can perceive it. On the other side I put the views which tried to define miraculousness in terms of subjectivity, contextuality and epistemicity. Another essential boundary which shed light on the conceptual-ontological discussion was drawn in relation to two main views of nature. The realistic-particularistic view regards nature as a certain part of reality. The adherents of this presupposition postulate a supernatural sphere alongside nature. Alternatively, the nominalist-universalist view understands nature without this kind of division. Nature is understood as the entire and infinite universe; the whole of reality. Other, less important boundaries which shed light on the conceptual-ontological discussion were noted in relation to views regarding the laws of nature, for example. I recognised that the most important differences between the epistemological approaches were in the different views of justification, rationality, truth and science. The epistemological discussion was divided into two sides, distinguished by their differing assumptions in relation to the need for evidence. Adherents of the first (and noticeably smaller) group did not see any epistemological need to reach a universal and common opinion about miracles. I discovered that these kinds of views, which I called non-objectivist, had subjectivist and so-called collectivist views of justification and a contextualist view of rationality. The second (and larger) group was mainly interested in discerning the grounds upon which to establish an objective and conclusive common view in relation to the epistemology of miracles. I called this kind of discussion an objectivist discussion and this kind of approach an evidentialist approach. Most of the evidentialists tried to defend miracles and the others attempted to offer evidence against miracles. Amongst both sides, there were many different variations according to emphasis and assumption over how they saw the possibilities to prove their own view. The common characteristic in all forms of evidentialism was a commitment to an objectivist notion of rationality and a universalistic notion of justification. Most evidentialists put their confidence in science in one way or another. Only a couple of philosophers represented the most moderate version of evidentialism; they tried to remove themselves from the apparent controversy and contextualised the different opinions in order to make some critical comments on them. I called this kind of approach a contextualising form of evidentialism. In the final part of the epistemological chapter, I examined the discussion about the evidential value of miracles, but nothing substantially new was discovered concerning the epistemological views of the authors.

Kirkon vai valtion kirjat? : Uskontokuntasidonnaisuuden ongelma Suomen väestökirjanpidossa 1839-1904

The Population Register – run by the Church or the state? The problem posed by the obligation to belong to a religious community in the registration of births and deaths in Finland between 1839 and 1904 The Lutheran Church of Finland is the nation’s largest church; approximately 82 per cent of Finns were members in 2007. The Church ran an official register of its members until 1999, when the state then undertook this task. The registration of births and deaths by the Church has a long history dating back to the 17th century, when Bishop Johannes Gezelius Sr. decreed that all parish members would have to be recorded in parish registers. These registers were used to control how well parish members knew the Christian doctrine and, gradually, also if they were literate. Additionally, the Church attempted to ensure by means of the parish registers that parish members went to Holy Communion annually. Since everyone was a member of the Lutheran Church, the state also took advantage of the parish registers and used them for the purposes of tax collection and conscription. The main research theme of “The Population Register – run by the Church or the state?” goes back to these times. The actual research period covers the years of 1839–1904. At that time Finland was under Russian rule, although autonomous. In the late 19th century the press and different associations in Finland began to engage in public debate, and the country started moving from a submissive society to a civic one. The identity of the Lutheran Church also became more prominent when the Church Act and the General Synod were realised in 1869. A few years earlier, municipal and parish administrations had been separated, but the general registration of births and deaths was left to the Church to see to. In compliance with the constitution of the country, all the inhabitants in principle still had to be Lutheran. In practice, the situation was different. The religious and ideological realms diversified, and the Lutheran concept of religion was no longer acceptable to everyone. The conflict was reflected in the registration of births and deaths, which was linked to the Lutheran Church and its parish registers. Nobody was allowed to leave the Church, there was no civil register, and the Lutheran Church did not consent to record unbaptized children in the parish registers. Therefore such children were left without civil rights. Thus the obligation to belong to a religious community had become a problem in the registration of births and deaths. The Lutheran clergy also appealed to the 1723 privileges, according to which they had been exempted from the drawing up of additional population registers. In 1889 Finland passed the Dissenters Act. By virtue of this act the Baptists and the Methodists left the state Church, but this was not the case with the members of the free churches. The freethinkers had to retain their church membership, as the law did not apply to them. This meant that the unbaptized children of the members of the free churches or those of freethinkers were still not entered in any registers. The children were not able to go to school, work for the state or legally marry. Neither were they able to inherit property, as they did not legally exist. The system of parish registers was created when everyone was required to be a member of the Lutheran Church, but it did not work when liberal attitudes eventually penetrated the sphere of religion, too. The government´s measures to solve the problem were slow and cautious, partly because Finland was part of Russia, partly because there were only about 100 unbaptized children. As the problem group was small and the state´s resources were limited, no general civil register was established. The state accepted the fact that in spite of the problems, the Evangelical Lutheran Church and the congregations of dissenters were the only official establishments to run populations registers in the country, and for social purposes, too. In 1900 the Diet of Finland finally approved a limited civil register, which unbaptized children and unregistered foreigners would be recorded in. Due to political reasons the civil register did not come into existence until 1917, after the actual research period.

Kirkko, Kekkonen ja kommunismi poliittisina kriisivuosina 1958-1962

This study explores the relationship of the Evangelical Lutheran Church of Finland to communism and political power during the period of crises in Finnish foreign relations with the Soviet Union from 1958 to 1962. During this period the USSR repeatedly interfered in Finland´s domestic affairs and limited her foreign political freedom of action. The research subjects for this dissertation are the bishops of the Church of Finland and the newspaper Kotimaa, which can be regarded as the unofficial organ of the church at the time. A typical characteristic of the Church of Finland from the beginning of the twentieth century was patriotism. During the interwar years the church was strongly anti-communist and against the Soviet Union. This tendency was also evident during the Second World War. After the war the Finnish Church feared that the rise of the extreme left would jeopardize its position. The church, however, succeeded in maintaining its status as a state church throughout the critical years immediately following the war. This study indicates that, although the manner of expression altered, the political attitude of the church did not substantially change during the postwar period. In the late 1950s and early 1960s the church was still patriotic and fear of the extreme left was also evident among the leaders of the church. The victory of the Finnish People's Democratic League in the general election of 1958 was an unwelcome surprise to the church. This generated fear in the church that, with Soviet support, the Finnish communists might return to governmental power and the nation could become a people's democracy. Accordingly, the church tried to encourage other parties to set aside their disagreements and act together against the extreme left throughout the period under study. The main characteristics of the church´s political agenda during this period of crisis were to support the Finnish foreign policy led by the president of the republic, Urho Kekkonen, and to resist Finnish communism. The attitude of Finnish bishops and the newspaper Kotimaa to the Cold War in general was generally in agreement with the majority of western Christians. They feared communism, were afraid of the USSR, but supported peaceful co-existence because they did not want an open conflict with the Soviets. Because of uncertainties in Finland's international position the Finnish Church regarded it as necessary to support the Finnish policy of friendship towards the USSR. The Finnish Church considerer it unwise to openly criticize the Soviet Union, tried resist the spread of communism in Finnish domestic policy. This period of foreign policy crises was principally seen by the church as a time when there was a need to strengthen Finland's unstable national position.

Power and Authority. Birgitta of Sweden and her Revelations

In the High Middle Ages female saints were customarily noble virgins. Thus, as a wife and a mother of eight children, the Swedish noble lady Birgitta (1302/3 1373) was an atypical candidate for sanctity. However, in 1391 she was canonized only 18 years after her death and became a role model for many late medieval women, who were mothers and widows. The dissertation Power and Authority Birgitta of Sweden and Her Revelations investigates how Birgitta went about establishing her power and authority during the first ten years of her career as a living saint, in 1340 1349. It is written from the perspectives of gender, authority, and power. The sources consist of approximately seven hundred revelations, hagiographical texts and other medieval documents. This work concentrates on the interaction between Birgitta and her audience. During her lifetime Birgitta was already regarded as a holy woman, as a living saint. A living saint could be given no formal papal or other recognition, for one could never be certain about his or her future activities. Thus, the living saint needed an audience for whom to perform signs of sanctity. In this study particular attention is paid to situations within which the power relations between the living saint and her audience can be traced and are open to critical analysis. Situations of conflict that arose in Birgitta s life are especially fruitful for this purpose. During the Middle Ages, institutional power and authority were exclusively in the hands of secular male leaders and churchmen. In this work it is argued, however, that Birgitta used different kinds of power than men. It is evident that she exercized influence on lay people as well as on secular and clerical authorities. The second, third, and fourth chapter of this study examine the beginning of Birgitta s career as a visionary, what factors and influences lay behind it, and what kind of roles they played in establishing her religious authority. The fifth, sixth, and seventh chapter concentrate on Birgitta s exercising of power in specific situations during her time in Sweden until she left on a pilgrimage to Rome in 1349. The central question is how she exercised power with different people. As a result, this book will offer a narrative of Birgitta s social interactions in Sweden seen from the perspectives of power and authority. Along with the concept of power, authority is a key issue. By definition, one who has power also has authority but a person who does not have official power can, nevertheless, have authority. Authority in action is defined here as meaning that a person was listened to. Birgitta acted both in situations of open conflict and where no conflict was evident. Her strategies included, for example, inducement, encouragement and flattery. In order to make people do as she felt was right she also threatened them openly with divine wrath. Sometimes she even used both positive persuasion and threats. Birgitta s power seems very similar to that of priests and ascetics. Common to all of them was that their power demanded interaction with other people and audiences. Because Birgitta did not have power and authority ex officio she had to persuade people to believe in her powers. She did this because she was convinced of her mission and sought to make people change their lives. In so doing, she moved from the domestic field to the public fields of religion and politics.

Yhteisön ja yhteiskunnan ehdoilla : Seurakuntien ja kuntien yhteistyö vuorovaikutuksen näkökulmasta

In this research, the cooperation between Finnish municipalities and Evangelical Lutheran parishes is studied from the standpoint of institutional interaction. The most essential theoretical background for the study is the differentiation thesis of the secularization theory. Cooperation from the viewpoints of both organizations is examined using the functional approach. Furthermore, the market theory and other theories are applied in order to place the studied phenomenon in the wider context of the theories of the sociology of religion. Sacralization in modern society and its relationship with the differentiation thesis of the secularization theory are in the theoretical foci. In addition, along with a descriptive examination of cooperation, the normative sides of the phenomenon are discussed. The survey was conducted among all municipalities and parishes in continental Finland. The questionnaires were sent to all municipal managers of youth work and afternoon activities and to all managers of child, youth and social work in the parishes. The response rate for the municipalities was 73.9 % and for the parishes 69.5 %. In addition, two qualitative data were utilized. The aim of the study is to scrutinize what kind of limitations of differentiation can be caused by the interaction between the secular and the religious. In order to solve the problem, an empirical study of sacralization in the modern context is required. For this purpose, the survey was carried out to determine the effects of the religious on the secular and the impact of the secular on the religious. In the articles of the study the following relationships are discussed: the positions of municipalities and parishes in relation to the state and civil society; cooperation in relation to differentiation; sacralization in relation to the differentiation thesis and cooperation in relation to pluralism. The results of the study highlighted the significance of the cooperation, which was contrary to the secularization theory connected to religious sacralization. The acceptance of the appearance of religion in cooperation and parishes support for municipal function was high in municipalities. Religious cooperation was more active than secular cooperation within all fields. This was also true between fields: religiously orientated child work was more active than the societally orientated social work of the church. Religious cooperation in modern fields of activity underlined sacralization. However, the acceptance of sacralization was weaker in cities than rural areas. Positive relationships between the welfare function of municipalities and the religious function of parishes emphasized the incompleteness of differentiation and the importance of sacralization. The relationship of the function of municipalities with parishes was neither negative nor neutral. Thus, in the most active fields, that is, child work and the traditional social work of the church, the orientation of parishes in cooperation supported the functions of both organizations. In more passive fields, that is, youth work and the societal social work of the church, parishes were orientated towards supporting the municipal function. The orientation of municipalities to religion underlined the perception that religious function is necessary for cooperation. However, the official character of cooperation supported accommodation to the requirements of societal pluralism. According to the results, sacralization can be effective also at the institutional level. The religious effect of voluntary cooperation means that religious sacralization can also readjust to modern society. At the same time, the results of the study stressed the importance of institutional autonomy. Thus, the public sector has a central role in successful cooperation. The conditions of cooperation are weakened if there is no official support of cooperation or adjustment to the individual rights of modern society. The results called into question the one-directional assumptions in the secularization paradigm and the modernization theory in the background. In these assumptions, religion that represents the traditional is seen to give way to the modern, especially at the institutional level. Lack of an interactional view was identified as a central weakness of the secularization paradigm. In the theoretical approach created in the study, an interactional view between religious and secular institutions was made possible by limiting the core of the differentiation thesis to autonomy. The counter forces of differentiation are despecialization and sacralization. These changes in the secularization theory bring about new interactivity on the institutional level. In addition to the interactional approach, that is, the secularization and sacralization theory created as a synthesis of the study, interaction between the religious and the secular is discussed from the standpoint of multiple modernities. The spiritual welfare role of religion is seen as a potential supporter of secular institutions. Religion is set theoretically amongst other ideologies and agents, which can create communal bonds in modern society. Key words: cooperation, municipalities, parishes, sacralization, secularization, modernization, multiple modernities, differentiation, interaction, democracy, secularism, pluralism, civil society

"Towards 'a real reunion'?" : Archbishop Aleksi Lehtonen's efforts for closer relations with the Church of England 1945–1951

Mika KT Pajusen väitös "Towards 'a real reunion'?" – Archbishop Aleksi Lehtonen's efforts for closer relations with the Church of England 1945–1951 on yleiseen kirkkohistoriaan lukeutuva tutkimus Englannin kirkon ja Suomen evankelis-luterilaisen kirkon välisistä suhteista Aleksi Lehtosen arkkipiispakaudella 1945–1951. Suhteita on tutkittu kolmesta näkökulmasta: ekumeenisesta, poliittisesta ja kirkkopoliittisesta. Tutkimuskausi alkaa pastori H.M. Waddamsin joulukuussa 1944 Suomeen tekemän vierailun jälkimainingeista ja päättyy arkkipiispa Lehtosen kuolemaan pääsiäisenä 1951. Kirkollisten suhteiden kehitystä rytmittivät lukuisat vierailut, jotka osoittivat Englannin kirkon asenteen muuttumisen sodan aikaisesta neuvostomyönteisyydestä kylmän sodan aikaiseen täysin vastakkaiseen kantaan. Englantilaiset vieraat kohtasivat Suomessa sekä kirkon että yhteiskunnan ylimmän johdon. Molemmat maat olivat valmiita tukemaan hyviä kirkollisia suhteita tilanteen niin salliessa, joskaan eivät kovin suunnitelmallisesti. Suomen evankelis-luterilainen kirkko käytti hyviä suhteita Englannin kirkkoon saadakseen tukea ja ymmärrystä omalle kirkolleen ja yhteiskunnalleen kokemaansa Neuvostoliiton uhkaa vastaan erityisesti vaaran vuosina 1944–1948. Englannin kirkko halusi tukea suomalaista sisarkirkkoaan, mutta varoi, ettei tuottaisi tuellaan enemmän haittaa kuin hyötyä suhteessa Neuvostoliittoon. Sodan jälkeinen ekumeeninen jälleenrakentaminen lähensi kirkkoja toisiinsa. Lehtonen pyrki jatkamaan 1930-luvun kirkkojen välisiä, ehtoollisvieraanvaraisuuden saavuttaneita neuvotteluita kohti täyttä kirkollista yhteyttä. Häntä motivoi sekä evankelis-katolinen teologia että pyrkimys tukea oman maan ja kirkon läntisiä yhteyksiä. Tämä haastoi Englannin kirkon ekumeenisen linjan, joka Suomen kirkon sijasta pyrki jatkamaan neuvotteluja Tanskan, Norjan ja Islannin luterilaisten kirkkojen kanssa, joilla ei vielä ollut virallista ekumeenista sopimusta Englannin kirkon kanssa. Lehtosen pyrkimyksistä huolimatta Englannin kirkko päätyi jättämään Suomen tilanteen hautumaan. Sillä se tarkoitti suhteiden koetinkivenä olleen historiallisen piispuuden leviämistä läpi Suomen kirkon ennen kuin katsoi olevansa valmis jatkamaan kohti täyttä kirkollista yhteyttä. Molemmissa kirkoissa vaikutti pieni, innokkaiden, lähempiä suhteita toivoneiden kirkollisten vaikuttajien ydinjoukko. Englantilaisia Suomen-ystäviä motivoi tarve auttaa Suomea hankalassa poliittisessa tilanteessa. Suomessa arkkipiispa Lehtonen tuki korkeakirkollista liturgista liikettä, jolla oli läheinen yhteys anglikaanisuuteen, mutta joka sai vastaansa vanhoilliset pietistit. Suomen kirkon yleinen mielipide asettui etupäässä pietistiselle kannalle, jolle anglikaanisuus näyttäytyi teologisesti sekä liian katolisena että liian reformoituna. Kirkolliset suhteet tasaantuivat vuoden 1948 Lambeth-konferenssin jälkeen, joka rohkaisi anglikaanisia kirkkoja hyväksymään 1930-luvun neuvottelujen lähempiin kirkollisiin suhteisiin tähtäävät suositukset. Lehtonen näytti tyytyvän tähän. Samaan aikaan lähempää kirkollista kanssakäymistä tukenut ekumeeninen jälleenrakennus tuli tiensä päähän. Lehtonen jatkoi läheisempien suhteiden edistämistä, mutta hänen intonsa hiipui yhdessä heikkenevän terveydentilan kanssa. Osoituksena Lehtosen linjan kapeudesta Suomen evankelis-luterilaisen kirkon piispoista ei löytynyt hänen kuoltuaan ketään, joka olisi jatkanut hänen aktiivista anglikaanimyönteistä linjaansa.

Ihanne ja todellisuus : Jäsenyyteen sitoutuminen Suomen evankelis-luterilaisessa kirkossa 1960-luvulta 2000-luvulle

The subject of the study is the ideal and reality of commitment to membership in the Evangelical Lutheran Church of Finland from the 1960s to the 2000s. The research task is to ascertain what manner of commitment the Evangelical Lutheran Church of Finland expects from its members (the ideal) and how in reality membership of the Church is realized (empiria). The research object is also to study the extent to which the ideal of commitment evinced by the Church and the actual relation of commitment to the Church changed during the research period. Additionally, those factors were analysed which influence the relation between the ideal and reality of commitment. In the analysis of the ideal of commitment the research data are official documents of the Evangelical Lutheran Church of Finland. They include confessions of the Church, Catechisms, Christian doctrine, joint strategies and plans of the Church, likewise the Church Act and Church Order. The reality of commitment is explored on the basis of Church membership, participation in parish activity and the private practice of religion, likewise attitude to Christian faith. The empirical data of the study comprise Church statistics, material from Statistics Finland and relevant surveys implemented during the research period. The ideal of commitment alongside membership includes knowing the basic tenets of Christian faith and family life based on prayer and participation in liturgical cycles. A member of the Church is expected to take care of his/her faith by living in participation of the Word and sacrament, bearing responsibility for the parish and faithfully discharging his/her worldly obligations. There have been no major changes in the ideal of commitment during the research period. On the contrary, the reality of commitment has changed. Although the majority of Finns are still members of the Church, there has been a constant decline in their share of the population. The same can be stated with respect to parish life. This has its own strengths, among them Church rites, parish activity around feast days and also work with children and confirmation training. However, the general trend is towards a decline in participation. There has also been a decrease in commitment to belief in God as taught by the Church. On the other hand, private religious observance has not changed at all. From the perspective of commitment the Evangelical Lutheran Church of Finland exists in a state of tension between the theological ideal and sociological empiria. Matters exerting a particular influence over the relation between ideal and reality are communality and varying conceptions of the Church, likewise contextuality and the related private Christianity. Societal change poses a challenge to traditional Church communality. A decline in communality has in turn led to a decline in belonging to the Church. Weakening awareness of membership has undermined the handing down of the tradition among younger generations. Modernization has influence the identity of the Church and brought the Church to an internal divergence. This way it has been able to retain its structure as a folk church but at the same time it has lost its opportunities for the formation of a clear identity. The Church has adjusted to societal change by outward-directed activities (performance) alongside the purely religious message (function). The tension between an unchanged message and a changed operating environment has increased. The challenge of contextuality has led the Church to review parish life, the nature of teaching and activity and the language used by the Church, likewise the cultural modus. Increasingly privatized Christianity challenges above all the theology and teaching of the Church, but also the life of worship and relation to cultural life.