Extented Paley-Wiener type theorems for the Mellin and Fourier transforms on the half-real line
Functional Analysis
2016-09-20 v2
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}.
Keywords
Cite
@article{arxiv.1605.03221,
title = {Extented Paley-Wiener type theorems for the Mellin and Fourier transforms on the half-real line},
author = {Cesar del Corral},
journal= {arXiv preprint arXiv:1605.03221},
year = {2016}
}
Comments
31 pages, no figures