Concerto no. 27 in B-flat major for Piano and Orchestra, K. 595

Soitinnus: Piano, ork.

Piano Sonata No. 11 in a Major, K. 331

Soitinnus: Piano.

Sonata in E-flat Major for Violin and Piano, K.481

Soitinnus: Viulu, piano.

Serenade No. 12, in C Minor, K. 388

Soitinnus: Oboet (2), klarinetit (2), fagotit (2), käyrätorvet (2).

Symphony no. 39 : in E-flat, K. 543

Soitinnus: ork.

Symphony no. 41 : in C, K. 551 ("Jupiter")

Soitinnus: ork.

Symphony no. 36 : in C, K. 425 ("Linz")

Soitinnus: ork.

Symphony No. 38, K.504

Soitinnus: Ork.

Divertimento No. 15, in B flat, K. 287

Soitinnus: Käyrätorvet (2), viulut (2), alttoviulu, kontrabasso.

Symphony no. 40 : in g minor, K. 550

Soitinnus: ork.

Fuzzy subgroups, algebraic and topological points of view and complex analysis

Fuzzy subsets and fuzzy subgroups are basic concepts in fuzzy mathematics. We shall concentrate on fuzzy subgroups dealing with some of their algebraic, topological and complex analytical properties. Explorations are theoretical belonging to pure mathematics. One of our ideas is to show how widely fuzzy subgroups can be used in mathematics, which brings out the wealth of this concept. In complex analysis we focus on Möbius transformations, combining them with fuzzy subgroups in the algebraic and topological sense. We also survey MV spaces with or without a link to fuzzy subgroups. Spectral space is known in MV algebra. We are interested in its topological properties in MV-semilinear space. Later on, we shall study MV algebras in connection with Riemann surfaces. In fact, the Riemann surface as a concept belongs to complex analysis. On the other hand, Möbius transformations form a part of the theory of Riemann surfaces. In general, this work gives a good understanding how it is possible to fit together different fields of mathematics.

On Topological Solitons in The Faddeev-Skyrme Model and its Extensions

The topological solitons of two classical field theories, the Faddeev-Skyrme model and the Ginzburg-Landau model are studied numerically and analytically in this work. The aim is to gain information on the existence and properties of these topological solitons, their structure and behaviour under relaxation. First, the conditions and mechanisms leading to the possibility of topological solitons are explored from the field theoretical point of view. This leads one to consider continuous deformations of the solutions of the equations of motion. The results of algebraic topology necessary for the systematic treatment of such deformations are reviewed and methods of determining the homotopy classes of topological solitons are presented. The Faddeev-Skyrme and Ginzburg-Landau models are presented, some earlier results reviewed and the numerical methods used in this work are described. The topological solitons of the Faddeev-Skyrme model, Hopfions, are found to follow the same mechanisms of relaxation in three different domains with three different topological classifications. For two of the domains, the necessary but unusual topological classification is presented. Finite size topological solitons are not found in the Ginzburg-Landau model and a scaling argument is used to suggest that there are indeed none unless a certain modification to the model, due to R. S. Ward, is made. In that case, the Hopfions of the Faddeev-Skyrme model are seen to be present for some parameter values. A boundary in the parameter space separating the region where the Hopfions exist and the area where they do not exist is found and the behaviour of the Hopfion energy on this boundary is studied.

In memorian J. K. Paasikivi

Soitinnus: orkesteri.