{"title":"inequality for a modified Struve transform","authors":"Selma Negzaoui, Nesrin Yousfi","doi":"10.1080/10652469.2023.2275129","DOIUrl":null,"url":null,"abstract":"AbstractIn this paper, we aim to establish an L2 inequality for a Modified Struve transform of order α, denoted as Sα. For this purpose, we use Titchmarsh's method consisting of applying Mellin transform to invert asymmetrical Fourier transforms. We obtain the inversion formula and the L2 estimation of the Modified Struve transform Sα. As an application, we prove the Heisenberg uncertainty principle for Sα.Keywords: L2 inequalityModified Struve transforminversion formulaMellin transformBessel functionsHeisenberg uncertainty principleMathematics Subject Classifications: 42A3844A2026D1033C10 AcknowledgmentsThe authors are grateful to the reviewers for their valuable contributions in improving the paper's readability.Disclosure statementNo potential conflict of interest was reported by the author(s).","PeriodicalId":54972,"journal":{"name":"Integral Transforms and Special Functions","volume":"39 14","pages":"0"},"PeriodicalIF":0.7000,"publicationDate":"2023-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Integral Transforms and Special Functions","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/10652469.2023.2275129","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
AbstractIn this paper, we aim to establish an L2 inequality for a Modified Struve transform of order α, denoted as Sα. For this purpose, we use Titchmarsh's method consisting of applying Mellin transform to invert asymmetrical Fourier transforms. We obtain the inversion formula and the L2 estimation of the Modified Struve transform Sα. As an application, we prove the Heisenberg uncertainty principle for Sα.Keywords: L2 inequalityModified Struve transforminversion formulaMellin transformBessel functionsHeisenberg uncertainty principleMathematics Subject Classifications: 42A3844A2026D1033C10 AcknowledgmentsThe authors are grateful to the reviewers for their valuable contributions in improving the paper's readability.Disclosure statementNo potential conflict of interest was reported by the author(s).
期刊介绍：
Integral Transforms and Special Functions belongs to the basic subjects of mathematical analysis, the theory of differential and integral equations, approximation theory, and to many other areas of pure and applied mathematics. Although centuries old, these subjects are under intense development, for use in pure and applied mathematics, physics, engineering and computer science. This stimulates continuous interest for researchers in these fields. The aim of Integral Transforms and Special Functions is to foster further growth by providing a means for the publication of important research on all aspects of the subjects.
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