Research area Harmonic Analysis and Functional Analysis, 2019

Harmonic Analysis and Functional Analysis

We study a wide range of problems in classical and modern analysis, including spectral theory of differential operators on  manifolds, real harmonic analysis and non-smooth partial differential equations, perturbation theory, non-linear partial differential equations, special functions and their applications in  physics, operator theory and operator algebras, non-commutative geometry, abstract harmonic analysis, topological K-theory and index theory, ergodic theory and application in geometry and number theory, representations of Lie groups and analysis on symmetric and locally symmetric spaces.

Seminars

We participate in the joint Analysis and Probability Seminar usually on Tuesdays, 15:15-16:15, room MV:L14. It is also announced on the Calendar of Mathematical Sciences.

Members

​Faculty
​Vilhelm Adolfsson PDE's and harmonic analysis, also from a computational viewpoint
Michael Björklund ​Dynamical systems related to homogeneous spaces
Ulla Dinger
Peter Kumlin ​Nonlinear PDE
​Torbjörn Lundh
Jana Madjarova
Andreas Rosén ​Real harmonic analysis and non-smooth partial differential equations
Hjalmar Rosengren ​Special functions and applications
Julie Rowlett Spectral theory​
​Lyudmila Turowska ​Operator theory and operator algebras
​Genkai Zhang ​Representations of Lie groups and analysis on symmetric spaces
​Emeriti
Jöran Bergh ​Analysis and various applications of mathematics to science and technology
​Philip Brenner
​Grigori Rozenblioum ​Mathematical problems arising in physics, especially quantum physics
Peter Sjögren ​Maximal functions and singular integrals
​Postdocs
Andrew McKee ​Operator algebras and abstract harmonic analysis
​PhD students
Mattias Byléhn ​Harmonic analysis and dynamical systems
​Åse Fahlander ​Functional analysis
Carl-Joar Karlsson ​Geometry, analysis, applications in ecology, imaging and physics, and game theory
​Alexey Kuzmin ​K-theory and K-homology, operator algebras
Hanna Oppelmayer ​Ergodic theory
João Pedro Paulos ​Descriptive set theory and its applications to functional analysis
Mykola Pochekai ​Bivariant K-theory and microlocal analysis
​External
​Dragu Atanasiu
​Jan-Olav Rönning

Published: Wed 04 Nov 2020.