Functional Analysis and Applications Seminar 

19/11/2010, 15:00 — 16:00 — Room P3.10, Mathematics Building
Luís Daniel Abreu, Universidade de Coimbra

Wavelet analysis of Bergman spaces: beyond analyticity

Wavelets and Bergman spaces appear to be completely disjoint objects, but they are not. In this talk we will explain why. Indeed, wavelet theory offers a real variable approach to Bergman spaces that goes beyond the classical toolkit of analytic functions. In particular, this approach yields new results concerning interpolation and sampling in spaces of polyanalytic functions, using ideas from application-oriented mathematics.