Mathematics in Åbo Akademi is actively engaged in high level research in functional analysis, stochastics, and applied mathematics.
The two main themes in the functional analysis group are the study of the structure of function spaces, and mathematical systems theory with applications to control theory and mathematical physics.
- Function Spaces and Operator Theory
- Mathematical Systems Theory
Stochastics and Applied Mathematics
The research objectives of the group are the development of mathematical theories and analysis of models coming from problems in other sciences as well as other branches of mathematics.
- Numerical Analysis and Applied Mathematics
My field of interest is approximation theory in the complex domain, particularly constructive methods for approximation and interpolation by finite Blaschke products.
I research systems and control theory, mostly in the context of infinite-dimensional linear systems described by partial differential equations. At the time being, I am particularly interested in model-predictive control of passive boundary control/boundary observation systems.
My research is in the area of functional analysis, operator theory and complex analysis. More precisely, I am working with various Banach spaces of analytic functions, including weighted Bergman spaces and weighted Banach spaces of analytic functions and operators defined between them, particularly with the Hilbert matrix operator, weighted composition operators and integration operators. Other research topics concern interpolating sequences for analytic function spaces and invariant subspace problems.
Docents and Ph.D. Researchers
Patrik Eklund, Docent
Tarja Höglund, Project Researcher
Andreas Lundell, Docent in Applied Mathematics
Alexandr Mylläri, Docent in Applied Mathematics
Paavo Salminen, Professor Emeritus in Mathematics
Handbook of Brownian Motion – Facts and Formulae
By following this link you find a complete list of relevant changes/corrections made in the second edition of Handbook of Brownian Motion – Facts and Formulae, published in the year 2002 by Birkhäuser Verlag. These are incorporated into the corrected reprint of the second edition published in the year 2015. Any comments/questions can be addressed to Paavo Salminen (e-mail: phsalmin (at) abo.fi) and/or Andrei Borodin (e-mail: borodin (at) pdmi.ras.ru).
Tapio Westerlund, Docent in Mathematics with Technical Applications