Two weight inequalities for discrete positive operators

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Two weight inequalities for maximal truncations of dyadic Calderón-Zygmund operators

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Coefficients of Drinfeld modular forms and Hecke operators

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The eta invariant and equivariant index of transversally elliptic operators

We prove a formula for the multiplicities of the index of an equivariant transversally elliptic operator on a G-manifold. The formula is a sum of integrals over blowups of the strata of the group action and also involves eta invariants of associated elliptic operators. Among the applications, we obtain an index formula for basic Dirac operators on Riemannian foliations, a problem that was open for many years.

Elections in 2009? Progress and obstacles in the construction of peace in the Ivory Coast

In 2002 in the Ivory Coast three months of armed conflict ended with the division of the country. Two regions were separated by an interposition line controlled by the French Forces Licorne. This significant peace process was maintained over time, but characterized for lack of mutual confidence and political immobility, which led to an impasse and the continuation of Laurent Gbagbo in the presidency. Moreover, the peace building process was less successful because the different political agreements failed to address some of the main national problems, such as land property and identity issues. The following paper aims first to analyze the main facts and causes that instigated the conflict since the coup d’état in 2002. Secondly, the paper will analyze the peace process and point out the key elements of the Ouagadougou Peace Agreement (2007): the creation of a new and unique armed forces structure, as well as the identification of the population and implementation of an electoral process. The main goal is to provide the International Catalan Institute for Peace (ICIP) a working tool in order to send an electoral observation mission to this African country by November 2009.

Élections en 2009? Progrès et obstacles dans la construction de la paix en Côte d'Ivoire

Trois mois de conflit armé en Côte d’Ivoire pendant l’année 2002 finirent par provoquer la division du pays en deux régions, séparées par une ligne d’interposition contrôlée par les Forces Licorne françaises. Le processus de paix se prolongea dans le temps, caractérisé par un manque de confiance mutuelle et une immobilité politique. Ces faits ont débouché sur une situation d’impasse et la permanence de Laurent Gbagbo à la présidence du pays. De plus, les différents accords politiques n’aidèrent pas le processus de construction de la paix, puisqu’ils n’abordaient pas certains problèmes principaux du pays, comme par exemple la propriété des terres et les sujets concernant l’identité. Ce document de travail aspire, tout d’abord, à analyser les faits principaux et les causes qui provoquèrent le conflit à partir du coup d’état de 2002. En deuxième lieu, le document analyse le processus de paix et signale les éléments clé de l’Accord de Paix d’Ouagadougou (2007): la création d’une nouvelle et unique structure des forces armées, ainsi que l’identification de la population et la réalisation d’un processus électoral. L’objectif principal est de fournir un outil de travail à l’Institut Catalan International pour la Paix (ICIP) afin d’envoyer une mission d’observation électorale dans ce pays africain.

The eta invariant and equivariant index of transversally elliptic operators

We prove a formula for the multiplicities of the index of an equivariant transversally elliptic operator on a G-manifold. The formula is a sum of integrals over blowups of the strata of the group action and also involves eta invariants of associated elliptic operators. Among the applications, we obtain an index formula for basic Dirac operators on Riemannian foliations, a problem that was open for many years.

Index theory for basic Dirac operators on Riemannian foliations

In this paper we prove a formula for the analytic index of a basic Dirac-type operator on a Riemannian foliation, solving a problem that has been open for many years. We also consider more general indices given by twisting the basic Dirac operator by a representation of the orthogonal group. The formula is a sum of integrals over blowups of the strata of the foliation and also involves eta invariants of associated elliptic operators. As a special case, a Gauss-Bonnet formula for the basic Euler characteristic is obtained using two independent proofs.

Hankel operators on holomorphic Hardy-Orlicz spaces

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Complex and real Hausdorff operators

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Moduli of smoothness and rate of a.e. convergence for some convolution operators

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Reduction theorems for operators on the cones of monotone functions

For a quasilinear operator on the semiaxis a reduction theorem is proved on the cones of monotone functions in Lp - Lq setting for 0 < q < ∞, 1<= p < ∞. The case 0 < p < 1 is also studied for operators with additional properties. In particular, we obtain critera for three-weight inequalities for the Hardy-type operators with Oinarov' kernel on monotone functions in the case 0 < q < p <= 1.

Interacting software-agents to support a kind of expert supervision systems

Expert supervision systems are software applications specially designed to automate process monitoring. The goal is to reduce the dependency on human operators to assure the correct operation of a process including faulty situations. Construction of this kind of application involves an important task of design and development in order to represent and to manipulate process data and behaviour at different degrees of abstraction for interfacing with data acquisition systems connected to the process. This is an open problem that becomes more complex with the number of variables, parameters and relations to account for the complexity of the process. Multiple specialised modules tuned to solve simpler tasks that operate under a co-ordination provide a solution. A modular architecture based on concepts of software agents, taking advantage of the integration of diverse knowledge-based techniques, is proposed for this purpose. The components (software agents, communication mechanisms and perception/action mechanisms) are based on ICa (Intelligent Control architecture), software middleware supporting the build-up of applications with software agent features

Projecte i disseny d’ una talladora de closques de castanya

L’objectiu d’ aquest treball consisteix en projectar i dissenyar una màquina amb capacitat per realitzar el tall lateral a les castanyes a gran producció. Ideada per complir la norma USFDA, integra una sèrie d' elements que permeten carregar els fruits de manera manual amb facilitat, un sistema de dosificat sobre una cinta de transport i una descàrrega d'aquests fruits sobre un sistema de rails que orienten i pre-carreguen un sistema de talladors de doble acció que s' encarrega de fer el tall i retirar el fruit