# Harmonic analysis and functional analysis

We study a wide range of problems in classical and modern analysis.

Our research interests include

- geometric analysis on spectral theory of differential operators on manifolds,
- real harmonic analysis and non-smooth partial differential equations,
- perturbation theory of differential operators,
- non-linear partial differential equations,
- special functions and their applications in physics,
- operator theory and operator algebras,
- non-commutative geometry,
- abstract harmonic analysis,
- non-standard analysis and its applications,
- topological K-theory and index theory,
- ergodic theory and application in geometry and number theory,
- representations of Lie groups,
- analysis on symmetric and locally symmetric spaces.

## Seminar

We participate in the joint Analysis and Probability Seminar, usually on Tuesdays, 15:15-16:15 in room MV:L14

### Faculty

**Michael Björklund**

Professor at Analysis and Probability Theory

**Gianmarco Brocchi**

Postdoc at Analysis and Probability Theory

**Ulla Dinger**

Senior Lecturer at Analysis and Probability Theory

**Eusebio Gardella**

Senior Lecturer at Analysis and Probability Theory

**Torbjörn Lundh**

Full Professor at Applied Mathematics and Statistics

**Jana Madjarova**

Professor at Analysis and Probability Theory

**Maria Roginskaya**

Professor at Analysis and Probability Theory

**Andreas Rosén**

Full Professor at Analysis and Probability Theory

**Hjalmar Rosengren**

Head of Unit at Analysis and Probability Theory

**Julie Rowlett**

Programansvarig at Physics, Chemistry and Biological Engineering along with Mathematics and Engineering Preparatory Year

**Tatiana Shulman**

Senior Lecturer at Analysis and Probability Theory

**Lyudmyla Turowska**

Head of Division at Analysis and Probability Theory

**Genkai Zhang**

Full Professor at Analysis and Probability Theory

### Emeriti

### PhD students

**Mattias Byléhn**

Doctoral Student at Analysis and Probability Theory

**Rickard Cullman**

Doctoral Student at Analysis and Probability Theory

**Åse Fahlander**

Doctoral Student at Analysis and Probability Theory

**Jan Gundelach**

Doctoral Student at Analysis and Probability Theory

**Robin van Haastrecht**

Doctoral Student at Analysis and Probability Theory

**Carl-Joar Karlsson**

Doctoral Student at Analysis and Probability Theory

**Oleksii Kuzmin**

Doctoral Student at Analysis and Probability Theory