“Spaces of entire functions in several complex variables"

Marco Peloso, Università degli Studi di Milano

Abstract: In one complex variable, the Paley—Wiener spaces and their generalisation given by the de Branges spaces, play a fundamental role in several areas of analysis and its applications. In this talk I will discuss some recent new generalisation to several complex variables.  For these spaces we prove an analogue of the classical Paley—Wiener, Plancherel—Polya and Shannon theorems. The proof of the results relies on methods from the harmonic analysis on the Heisenberg group.

Host: John McCarthy