{"title":"傅里叶变换与Weyl微积分的推广","authors":"M. Yaremenko","doi":"10.46300/9106.2022.16.112","DOIUrl":null,"url":null,"abstract":"In this paper, a surjective morphism of the topological groups from the real line R to the p -curve Cp is introduced, this function maps from the real line to the p -curve on the complex and when p = 2 then coincide with a classical exponent. The properties of p -Fourier transform is studied. The generalization of the Weyl functional calculus is considered.","PeriodicalId":13929,"journal":{"name":"International Journal of Circuits, Systems and Signal Processing","volume":"29 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2022-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Generalization of Fourier Transform and Weyl Calculus\",\"authors\":\"M. Yaremenko\",\"doi\":\"10.46300/9106.2022.16.112\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, a surjective morphism of the topological groups from the real line R to the p -curve Cp is introduced, this function maps from the real line to the p -curve on the complex and when p = 2 then coincide with a classical exponent. The properties of p -Fourier transform is studied. The generalization of the Weyl functional calculus is considered.\",\"PeriodicalId\":13929,\"journal\":{\"name\":\"International Journal of Circuits, Systems and Signal Processing\",\"volume\":\"29 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-03-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Circuits, Systems and Signal Processing\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.46300/9106.2022.16.112\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"Engineering\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Circuits, Systems and Signal Processing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.46300/9106.2022.16.112","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Engineering","Score":null,"Total":0}
Generalization of Fourier Transform and Weyl Calculus
In this paper, a surjective morphism of the topological groups from the real line R to the p -curve Cp is introduced, this function maps from the real line to the p -curve on the complex and when p = 2 then coincide with a classical exponent. The properties of p -Fourier transform is studied. The generalization of the Weyl functional calculus is considered.
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