{"title":"Uncertainty principles for the \n\n q\n\n-Hankel–Stockwell transform","authors":"K. Brahim, Hédi Ben Elmonser","doi":"10.37863/umzh.v75i7.7166","DOIUrl":null,"url":null,"abstract":"UDC 517.3\nBy using the \n\n q\n\n-Jackson integral and some elements of the \n\n q\n\n-harmonic analysis associated with the \n\n q\n\n-Hankel transform, we introduce and study a \n\n q\n\n-analog of the Hankel–Stockwell transform. We give some harmonic analysis properties (Plancherel formula, inversion formula, reproduicing kernel, etc.). Furthermore, we establish a version of Heisenberg's uncertainty principles. Finally, we study the \n\n q\n\n-Hankel–Stockwell transform on a subset of finite measure.","PeriodicalId":163365,"journal":{"name":"Ukrains’kyi Matematychnyi Zhurnal","volume":"12 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Ukrains’kyi Matematychnyi Zhurnal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.37863/umzh.v75i7.7166","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
UDC 517.3
By using the
q
-Jackson integral and some elements of the
q
-harmonic analysis associated with the
q
-Hankel transform, we introduce and study a
q
-analog of the Hankel–Stockwell transform. We give some harmonic analysis properties (Plancherel formula, inversion formula, reproduicing kernel, etc.). Furthermore, we establish a version of Heisenberg's uncertainty principles. Finally, we study the
q
-Hankel–Stockwell transform on a subset of finite measure.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
