Harmonic Analysis Research Group
Harmonic Analysis is a branch of Mathematical Analysis that has grown around the investigation of classical Fourier series, but today encompasses various quite different topics involving the interplay of spatial and spectral information. Typical phenomena of interest are cancellations, orthogonality and oscillations. Often the essence of the problems is captured in estimates relating the size of an object and its transform. See the Technical survey by the Fields Medalist Terence Tao for a more detailed discussion of Harmonic Analysis in general, or our research page for the particular topics studied by our group.
Our research is currently supported by:
- the European Union through the ERC Starting Grant Analytic-probabilistic methods for borderline singular integrals,
- the Academy of Finland through the projects
- Lp methods of Harmonic Analysis
- Stochastic and Harmonic Analysis, interactions and Applications
- Vilho, Yrjö and Kalle Väisälä Foundation