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arXiv · 1605.03221

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

Cesar del Corral
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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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Cesar del Corral. 2016-09-17. Extented Paley-Wiener type theorems for the Mellin and Fourier transforms on the half-real line. https://arxiv.org/abs/1605.03221

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