{"title":"Multilevel wavelet packets in sobolev space over local fields of positive characteristic","authors":"Ashish Pathak, Guru P. Singh","doi":"10.1007/s13370-024-01211-7","DOIUrl":null,"url":null,"abstract":"<div><p>The concepts of multiresolution analysis (MRA) and wavelets in Sobolev space over local fields of positive characteristic (<span>\\(H^s(\\mathbb {K})\\)</span>) are developed by Pathak and Singh [9]. In this paper, we constructed wavelet packets in Sobolev space <span>\\(H^s(\\mathbb {K})\\)</span> and derived their orthogonality at each level. By using convolution theory, an example of wavelet packets in <span>\\(H^s(\\mathbb {K})\\)</span> is presented</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":null,"pages":null},"PeriodicalIF":0.9000,"publicationDate":"2024-08-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Afrika Matematika","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s13370-024-01211-7","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
The concepts of multiresolution analysis (MRA) and wavelets in Sobolev space over local fields of positive characteristic (\(H^s(\mathbb {K})\)) are developed by Pathak and Singh [9]. In this paper, we constructed wavelet packets in Sobolev space \(H^s(\mathbb {K})\) and derived their orthogonality at each level. By using convolution theory, an example of wavelet packets in \(H^s(\mathbb {K})\) is presented
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