分布斯托克韦尔变换与小波变换的渐近关系

IF 0.6 4区数学 Q3 MATHEMATICS

Functional Analysis and Its Applications Pub Date : 2023-09-05 DOI:10.1134/S0016266323010033

J. V. Buralieva

{"title":"分布斯托克韦尔变换与小波变换的渐近关系","authors":"J. V. Buralieva","doi":"10.1134/S0016266323010033","DOIUrl":null,"url":null,"abstract":" Abelian- and Tauberian-type results characterizing the quasiasymptotic behavior of distributions in \\(\\mathcal{S}_{0}'(\\mathbb{R})\\) in terms of their Stockwell transforms are obtained. An Abelian-type result relating the quasiasymptotic boundedness of Lizorkin distributions to the asymptotic behavior of their Stockwell transforms is given. Several asymptotic results for the distributional wavelet transform are also presented. ","PeriodicalId":575,"journal":{"name":"Functional Analysis and Its Applications","volume":"57 1","pages":"29 - 39"},"PeriodicalIF":0.6000,"publicationDate":"2023-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Asymptotic Relations for the Distributional Stockwell and Wavelet Transforms\",\"authors\":\"J. V. Buralieva\",\"doi\":\"10.1134/S0016266323010033\",\"DOIUrl\":null,\"url\":null,\"abstract\":\" Abelian- and Tauberian-type results characterizing the quasiasymptotic behavior of distributions in \\\\(\\\\mathcal{S}_{0}'(\\\\mathbb{R})\\\\) in terms of their Stockwell transforms are obtained. An Abelian-type result relating the quasiasymptotic boundedness of Lizorkin distributions to the asymptotic behavior of their Stockwell transforms is given. Several asymptotic results for the distributional wavelet transform are also presented. \",\"PeriodicalId\":575,\"journal\":{\"name\":\"Functional Analysis and Its Applications\",\"volume\":\"57 1\",\"pages\":\"29 - 39\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2023-09-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Functional Analysis and Its Applications\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://link.springer.com/article/10.1134/S0016266323010033\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Functional Analysis and Its Applications","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1134/S0016266323010033","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

得到了用Stockwell变换表征\(\mathcal{S}_{0}'(\mathbb{R})\)中分布的拟渐近行为的Abelian型和tauberian型结果。给出了Lizorkin分布的拟渐近有界性与其Stockwell变换的渐近性之间的一个abel型结果。给出了分布小波变换的几个渐近结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Asymptotic Relations for the Distributional Stockwell and Wavelet Transforms

Abelian- and Tauberian-type results characterizing the quasiasymptotic behavior of distributions in \(\mathcal{S}_{0}'(\mathbb{R})\) in terms of their Stockwell transforms are obtained. An Abelian-type result relating the quasiasymptotic boundedness of Lizorkin distributions to the asymptotic behavior of their Stockwell transforms is given. Several asymptotic results for the distributional wavelet transform are also presented.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Functional Analysis and Its Applications 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Functional Analysis and Its Applications publishes current problems of functional analysis, including representation theory, theory of abstract and functional spaces, theory of operators, spectral theory, theory of operator equations, and the theory of normed rings. The journal also covers the most important applications of functional analysis in mathematics, mechanics, and theoretical physics.