{"title":"Wave packet transform in the framework of Lebedev–Skalskaya transforms","authors":"Ajay K. Gupt, Akhilesh Prasad, U. K. Mandal","doi":"10.1007/s44146-023-00097-4","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, we define the wave-packet transform (WPT) involving Lebedev–Skalskaya transform (LS-transform) and establish some norm estimates of LS-wavelet, LS-wavelet transform, and Plancherel’s relation for WPT. Moreover, we obtain the Calderon-type reproducing formula using LS-transform theory and its convolution.</p></div>","PeriodicalId":46939,"journal":{"name":"ACTA SCIENTIARUM MATHEMATICARUM","volume":"90 1-2","pages":"73 - 89"},"PeriodicalIF":0.5000,"publicationDate":"2023-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"ACTA SCIENTIARUM MATHEMATICARUM","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s44146-023-00097-4","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
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Abstract
In this paper, we define the wave-packet transform (WPT) involving Lebedev–Skalskaya transform (LS-transform) and establish some norm estimates of LS-wavelet, LS-wavelet transform, and Plancherel’s relation for WPT. Moreover, we obtain the Calderon-type reproducing formula using LS-transform theory and its convolution.
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