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Extented Paley-Wiener type theorems for the Mellin and Fourier transforms on the half-real line

Published 10 May 2016 in math.FA | (1605.03221v2)

Abstract: In this paper we present generalisations of Paley-Wiener type theorems to Mellin and (Laplace-)Fourier transforms of rapidly decreasing smooth functions with positive support and log-polyhomogeneous asymptotic expansion at zero. This article is based on the thesis \cite{CdC} and uses results borrowed from \cite{RS}, \cite{RS81}, \cite{P79}, \cite{FGD}, \cite{P79}, \cite{SZ}.

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Authors (1)

  1. Cesar del Corral 

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