{"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":"10 1","pages":"425 - 439"},"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}
引用次数: 17
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.