Members: Jana Madjarova, Hjalmar Rosengren, Ulla Dinger, Peter Sjögren, Bo Johansson, Peter Kumlin, Magnus Goffeng, Oskar Hamlet, Grigori Rozenblioum, Lyudmila Turowska, Mahdi Hormozi, Torbjörn Lundh, Genkai Zhang, Vilhelm Adolfsson, Jöran Bergh, Philip Brenner

 

Harmonic analysis or Fourier analysis is based on the decomposition of quite general phenomena into oscillations of different frequencies. This naturally applies to sound, light, radio waves etc., but the method has turned out a very useful tool for a wide variety of mathematical and other problems. An important example is the field of partial differential equations, which our group often studies via spectral theory. In many cases, the oscillations need to be adapted to a special geometry, and this leads to orthogonal polynomials, another research field of the group. We often consider also more general versions of harmonic analysis, in particular representation theory of Lie groups.

 

24/5	Genkai Zhang	Sub-Riemannian distance and heat kernels on Siegel nilpotent groups
31/5	Peter Sjögren	Calderón-Zygmund operators related to Jacobi expansions Abstract
6/9	José González Llorente (UAB)	On differentiability of Zygmund and Weierstrass-type functions Abstract
11/10	Pilar Silvestre	Conductor Sobolev type estimates and isocapacitary inequalities