{"title":"Expressing Hilbert and Riesz transforms in terms of wavelet transforms","authors":"S. Moritoh, Nao Takemoto","doi":"10.1080/10652469.2022.2126465","DOIUrl":null,"url":null,"abstract":"ABSTRACT An alternative wavelet inversion formula was considered by Lebedeva and Postnikov in 2014. The main aim of the paper is to give a multidimensional version of their formula; the Hilbert and Riesz transforms of functions are expressed in terms of the wavelet transforms.","PeriodicalId":54972,"journal":{"name":"Integral Transforms and Special Functions","volume":"34 1","pages":"365 - 370"},"PeriodicalIF":0.7000,"publicationDate":"2022-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Integral Transforms and Special Functions","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1080/10652469.2022.2126465","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: 1
Abstract
ABSTRACT An alternative wavelet inversion formula was considered by Lebedeva and Postnikov in 2014. The main aim of the paper is to give a multidimensional version of their formula; the Hilbert and Riesz transforms of functions are expressed in terms of the wavelet transforms.
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.