Diamond算子的傅里叶变换和卷积

Journal of Nonlinear Sciences and Applications Pub Date : 2019-06-14 DOI:10.22436/JNSA.012.10.04

W. Satsanit

{"title":"Diamond算子的傅里叶变换和卷积","authors":"W. Satsanit","doi":"10.22436/JNSA.012.10.04","DOIUrl":null,"url":null,"abstract":"In this paper, we define a new operator and give a sense of distribution theory to find the Fourier transform of new operator. It was found that the Fourier transform of new operator related to the Fourier transform of ultrahyperbolic operator and Diamond operator. And we also study the convolution products kδ ∗ l and ♦kδ ∗ ♦l.","PeriodicalId":48799,"journal":{"name":"Journal of Nonlinear Sciences and Applications","volume":"15 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2019-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A Fourier transform and convolution of Diamond operator\",\"authors\":\"W. Satsanit\",\"doi\":\"10.22436/JNSA.012.10.04\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we define a new operator and give a sense of distribution theory to find the Fourier transform of new operator. It was found that the Fourier transform of new operator related to the Fourier transform of ultrahyperbolic operator and Diamond operator. And we also study the convolution products kδ ∗ l and ♦kδ ∗ ♦l.\",\"PeriodicalId\":48799,\"journal\":{\"name\":\"Journal of Nonlinear Sciences and Applications\",\"volume\":\"15 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-06-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Nonlinear Sciences and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.22436/JNSA.012.10.04\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Nonlinear Sciences and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22436/JNSA.012.10.04","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 0

摘要

本文定义了一个新的算子，并给出了用分布理论求新算子的傅里叶变换的意义。发现新算子的傅里叶变换与超双曲算子和Diamond算子的傅里叶变换有关。我们还研究了kδ∗l和♦kδ∗♦l的卷积积。

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

A Fourier transform and convolution of Diamond operator

In this paper, we define a new operator and give a sense of distribution theory to find the Fourier transform of new operator. It was found that the Fourier transform of new operator related to the Fourier transform of ultrahyperbolic operator and Diamond operator. And we also study the convolution products kδ ∗ l and ♦kδ ∗ ♦l.

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

Journal of Nonlinear Sciences and Applications MATHEMATICS, APPLIED-MATHEMATICS

自引率

0.00%

发文量

期刊介绍： The Journal of Nonlinear Science and Applications (JNSA) (print: ISSN 2008-1898 online: ISSN 2008-1901) is an international journal which provides very fast publication of original research papers in the fields of nonlinear analysis. Journal of Nonlinear Science and Applications is a journal that aims to unite and stimulate mathematical research community. It publishes original research papers and survey articles on all areas of nonlinear analysis and theoretical applied nonlinear analysis. All articles are fully refereed and are judged by their contribution to advancing the state of the science of mathematics. Manuscripts are invited from academicians, research students, and scientists for publication consideration. Papers are accepted for editorial consideration through online submission with the understanding that they have not been published, submitted or accepted for publication elsewhere.