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

2016/05/10 by del Corral, Cesar
Computer Science · Mathematics · #47G20 #Advanced Mathematical Modeling in Engineering #Algebraic and Geometric Analysis #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1605.03221

openalex publication_date 2016/05/10 · openalex created_date 2022/08/28 · openalex updated_date 2026/07/28

Abstract

In this paper we present generalisations of Paley-Wiener type theorems to\nMellin and (Laplace-)Fourier transforms of rapidly decreasing smooth functions\nwith positive support and log-polyhomogeneous asymptotic expansion at zero.\nThis article is based on the thesis citeCdC and uses results borrowed from\n citeRS, citeRS81, citeP79, citeFGD, citeP79, citeSZ.\n

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