{"title":"Shapiro’s uncertainty principles and scalogram associated with the Riemann-Liouville wavelet transform","authors":"H. Mejjaoli, F. Shah","doi":"10.2298/fil2301043m","DOIUrl":null,"url":null,"abstract":"The Riemann-Liouville operator has been extensively investigated and has witnessed a remarkable development in numerous fields of harmonic analysis over a couple of decades. The aim of this article is to explore two more aspects of the time-frequency analysis associated with the Riemann-Liouville wavelet transform, including the Shapiro uncertainty principle and the scalogram.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":null,"pages":null},"PeriodicalIF":0.8000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Filomat","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.2298/fil2301043m","RegionNum":4,"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
The Riemann-Liouville operator has been extensively investigated and has witnessed a remarkable development in numerous fields of harmonic analysis over a couple of decades. The aim of this article is to explore two more aspects of the time-frequency analysis associated with the Riemann-Liouville wavelet transform, including the Shapiro uncertainty principle and the scalogram.
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