{"title":"时间尺度上的h-傅里叶正弦拉普拉斯离散广义卷积","authors":"Hoang Tung, N. X. Thao, V. Tuan","doi":"10.1080/10652469.2022.2142788","DOIUrl":null,"url":null,"abstract":"In this paper, we introduce h-Fourier sine-Laplace discrete generalized convolution. We study a class of generalized convolution transforms and give necessary and sufficient conditions so that the transformations are unitary. As application, we obtain solutions in explicit form of some classes of the Toeplitz plus Hankel-type equations related to the h-Fourier sine-Laplace generalized convolution.","PeriodicalId":54972,"journal":{"name":"Integral Transforms and Special Functions","volume":"34 1","pages":"444 - 456"},"PeriodicalIF":0.7000,"publicationDate":"2022-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The h-Fourier sine-Laplace discrete generalized convolution on time scale\",\"authors\":\"Hoang Tung, N. X. Thao, V. Tuan\",\"doi\":\"10.1080/10652469.2022.2142788\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we introduce h-Fourier sine-Laplace discrete generalized convolution. We study a class of generalized convolution transforms and give necessary and sufficient conditions so that the transformations are unitary. As application, we obtain solutions in explicit form of some classes of the Toeplitz plus Hankel-type equations related to the h-Fourier sine-Laplace generalized convolution.\",\"PeriodicalId\":54972,\"journal\":{\"name\":\"Integral Transforms and Special Functions\",\"volume\":\"34 1\",\"pages\":\"444 - 456\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2022-11-10\",\"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/10.1080/10652469.2022.2142788\",\"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/10.1080/10652469.2022.2142788","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
The h-Fourier sine-Laplace discrete generalized convolution on time scale
In this paper, we introduce h-Fourier sine-Laplace discrete generalized convolution. We study a class of generalized convolution transforms and give necessary and sufficient conditions so that the transformations are unitary. As application, we obtain solutions in explicit form of some classes of the Toeplitz plus Hankel-type equations related to the h-Fourier sine-Laplace generalized convolution.
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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