## Research groups

Mathematics in Åbo Akademi is actively engaged in high level research in functional analysis, stochastics, and applied mathematics.

**Functional Analysis**

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.

**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.

## Researchers

**Christer Glader**, University Lecturer in Mathematics, Docent

Research profile and publications

**Research interests:
**My field of interest is approximation theory in the complex domain, particularly constructive methods for approximation and interpolation by finite Blaschke products.

**Alex Karrila**, Senior University Lecturer in Mathematics, on leave (Postdoctoral Researcher, Academy of Finland)

Forskningsprofil och publikationer

**Research interests:**

My research interests lie in probability theory and mathematical (statistical) physics. The most important line of study concerns discrete random models on lattices, as well as the continuous models that (conjecturally) describe the discrete models on fine-mesh lattices at criticality. A first example is the random walk on the n-dimensional square lattice delta*Z^n with mesh size delta, which at the critical rate I(delta) of steps converges to the Brownian motion as the mesh size delta shrinks to zero.

**Mikael Kurula**, Senior University Lecturer in Mathematics, Docent in Applied Mathematics, Head of Subject

Reseach profile and publications

**Research interests:
**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

**.**

**Homepage: http://users.abo.fi/mkurula/**

**Mikael Lindström**, Professor in Mathematics

Research profile and publications

**Research interests:
**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**

** **

**Göran Högnäs**, Professor Emeritus, Docent

**Andreas Lundell**, 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,** Professor Emeritus, Docent in Mathematics with Engineering Applications, homepage