Paley-Wiener-type theorems for a class of integral transforms
type: Item
instance of: scholarly article
title: Paley-Wiener-type theorems for a class of integral transforms
zbMATH Open document ID: 0998.44001
author: Ahmed I. Zayed
author: Vu Kim Tuan
published in: Journal of Mathematical Analysis and Applications
publication date: 2002-07-04T00:00:00Z
review text: In this interesting paper the authors give a characterization of weighted \(L_2 (I)\) spaces in terms of their images under several integral transforms. These findings are then used to derive Paley-Wiener type theorems for these spaces. The results obtained here use real variable techniques and do not require analytic continuation to the complete plane. Eight examples involving various integral transforms are considered. They involve singular Sturm-Liouville boundary-value problems on a half line and on the whole line. The approach considered herein is indeed unified in nature and covers a large spectrum of integral transforms.
Mathematics Subject Classification ID: 44A05
Mathematics Subject Classification ID: 34B24
zbMATH DE Number: 1763703
zbMATH Keywords: Paley-Wiener theorem
zbMATH Keywords: weighted \(L^2\)-spaces
zbMATH Keywords: integral transforms
zbMATH Keywords: singular Sturm-Liouville boundary-value problems
reviewed by: K. C. Gupta
MaRDI profile type: Publication
full work available at URL: jmaa.2001.7740
OpenAlex ID: W1985849635
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DOI: 10.1006/JMAA.2001.7740
description: scientific article; zbMATH DE number 1763703