## Gestur Ólafsson (16/04/15)

Benedikt Magnússon, April 10, 2015

Math Colloquium

### Speaker: Gestur Ólafsson, Louisiana State University Title: Discretization and atomic decomposition of Bergman spaces

Location: Naustið, Endurmenntun (here)
Time: Thursday, April 16, at 15:00-16:00.

### Abstract:

We will discuss how representation theory can be used to construct invariant Banach spaces and functions. This theory goes back to the work of Feichtinger and Gröchenig around 1989 but has since then be generalized in several different ways. We will then give few examples and show how this can be used in deriving new results on atomic decomposition of Bergman spaces and give new proofs and result related to questions in complex analysis. We will concentrate our discussion on the example of the unite ball in $$\mathbb C^n$$.