{"title":"与贝塞尔分析有关的一些积分的极限","authors":"S. Platonov","doi":"10.1080/10652469.2022.2152812","DOIUrl":null,"url":null,"abstract":"In various sections of the classical Fourier Analysis, the problem of the convergence of the integrals as and under various assumptions on the functions f and g are considered. In this paper, we study some analogues of such problems for weight integrals of the form for functions f and g from some weighted functional classes that are connected with Fourier–Bessel harmonic analysis.","PeriodicalId":54972,"journal":{"name":"Integral Transforms and Special Functions","volume":"34 1","pages":"495 - 502"},"PeriodicalIF":0.7000,"publicationDate":"2022-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Limits of some integrals connected with Bessel analysis\",\"authors\":\"S. Platonov\",\"doi\":\"10.1080/10652469.2022.2152812\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In various sections of the classical Fourier Analysis, the problem of the convergence of the integrals as and under various assumptions on the functions f and g are considered. In this paper, we study some analogues of such problems for weight integrals of the form for functions f and g from some weighted functional classes that are connected with Fourier–Bessel harmonic analysis.\",\"PeriodicalId\":54972,\"journal\":{\"name\":\"Integral Transforms and Special Functions\",\"volume\":\"34 1\",\"pages\":\"495 - 502\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2022-12-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Integral Transforms and Special Functions\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1080/10652469.2022.2152812\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Integral Transforms and Special Functions","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1080/10652469.2022.2152812","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
Limits of some integrals connected with Bessel analysis
In various sections of the classical Fourier Analysis, the problem of the convergence of the integrals as and under various assumptions on the functions f and g are considered. In this paper, we study some analogues of such problems for weight integrals of the form for functions f and g from some weighted functional classes that are connected with Fourier–Bessel harmonic analysis.
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.
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