{"title":"Rm上分布的几个乘积","authors":"C. Zhi, B. Fisher","doi":"10.1098/rspa.1989.0133","DOIUrl":null,"url":null,"abstract":"The method of the sequential completion has been used efficiently to define products of distributions. Some results for products of distributions on R1 have been given by J. Mikusinski, B. Fisher and Cheng Lin Zhi et al. The main aim of this paper is to extend the method to the case for several variables. A number of products such as δ(r) ᴑ δ(s), xr + ᴑ δ(s) and x-r ᴑ δ(s), etc., are considered.","PeriodicalId":20605,"journal":{"name":"Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"1989-12-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"17","resultStr":"{\"title\":\"Several products of distributions on Rm\",\"authors\":\"C. Zhi, B. Fisher\",\"doi\":\"10.1098/rspa.1989.0133\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The method of the sequential completion has been used efficiently to define products of distributions. Some results for products of distributions on R1 have been given by J. Mikusinski, B. Fisher and Cheng Lin Zhi et al. The main aim of this paper is to extend the method to the case for several variables. A number of products such as δ(r) ᴑ δ(s), xr + ᴑ δ(s) and x-r ᴑ δ(s), etc., are considered.\",\"PeriodicalId\":20605,\"journal\":{\"name\":\"Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1989-12-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"17\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1098/rspa.1989.0133\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1098/rspa.1989.0133","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 17
摘要
顺序补全的方法被有效地用于定义分布的乘积。J. Mikusinski, B. Fisher和程林志等人给出了R1上分布积的一些结果。本文的主要目的是将该方法推广到多个变量的情况。考虑了许多产品，如δ(r)ᴑδ(s)， xr +ᴑδ(s)和x-rᴑδ(s)等。
The method of the sequential completion has been used efficiently to define products of distributions. Some results for products of distributions on R1 have been given by J. Mikusinski, B. Fisher and Cheng Lin Zhi et al. The main aim of this paper is to extend the method to the case for several variables. A number of products such as δ(r) ᴑ δ(s), xr + ᴑ δ(s) and x-r ᴑ δ(s), etc., are considered.
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