The Paley-Wiener Theorems for Gevrey Functions and Ultradistributions

University essay from Linnéuniversitetet/Institutionen för matematik (MA)

Author: Marko Sobak; [2018]

Keywords: Paley-Wiener Theorems; Gevrey functions; Gevrey ultradistributions;

Abstract: In this thesis we study the spaces of Gevrey functions and ultradistributions, focusing primarily on the properties reflected on their Fourier-Laplace transforms. In particular, we study the Paley-Wiener Theorems for compactly supported Gevrey functions and compactly supported Gevrey ultradistributions.

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