The fractional S-transform on spaces of type \(W\)
type: Item
instance of: scholarly article
title: The fractional S-transform on spaces of type \(W\)
zbMATH Open document ID: 1272.42025
author: Sunil Kumar Singh
published in: Journal of Pseudo-Differential Operators and Applications
publication date: 2013-07-11T00:00:00Z
review text: Restricting growths of test functions Gelfand and Shilov introduced three test function spaces, called spaces of type W, and studied continuity of Fourier transformation between these spaces. In this paper additional three suitable test function spaces are defined and continuity of fractional S-transformation [\textit{D. P. Xu} and \textit{K. Guo}, ``Fractional S transform. I: Theory, Theory Appl. Geophys. 9, No. 1, 73--79 (2012; \url{doi:10.1007/s11770-012-0316-6})] of functions belonging to spaces of type W into the corresponding spaces introduced by the present author is studied.
Mathematics Subject Classification ID: 42C40
Mathematics Subject Classification ID: 46F12
zbMATH DE Number: 6187105
zbMATH Keywords: fractional Fourier transform
zbMATH Keywords: fractional S-transform
zbMATH Keywords: S-transform
zbMATH Keywords: wavelet transform
MaRDI profile type: Publication
full work available at URL: s11868-013-0067-z
OpenAlex ID: W2005766531
cites work: Foundations of time-frequency analysis
cites work: Wavelet transform on spaces of type \(W\)
cites work: TheS-transform on spaces of typeS
cites work: TheS-transform on spaces of typeW
cites work: The $S$-Transform From a Wavelet Point of View
DOI: 10.1007/S11868-013-0067-Z
description: scientific article; zbMATH DE number 6187105