{"title":"A CRITERION FOR THE SOLVABILITY OF NONHOMOGENEOUS CONVOLUTION EQUATIONS IN CONVEX DOMAINS OF Cn","authors":"A. Krivosheev","doi":"10.1070/IM1991V036N03ABEH002032","DOIUrl":null,"url":null,"abstract":"A criterion is given, in terms of the Laplace transform of an analytic functional , for the convolution operator , corresponding to this functional, to be an epimorphism, in the case when is an arbitrary convex domain and an arbitrary convex compact set in Cn.","PeriodicalId":159459,"journal":{"name":"Mathematics of The Ussr-izvestiya","volume":"12 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1991-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"16","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematics of The Ussr-izvestiya","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1070/IM1991V036N03ABEH002032","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 16
Abstract
A criterion is given, in terms of the Laplace transform of an analytic functional , for the convolution operator , corresponding to this functional, to be an epimorphism, in the case when is an arbitrary convex domain and an arbitrary convex compact set in Cn.
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