{"title":"Cn凸域上非齐次卷积方程可解性的一个判据","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":"{\"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}","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}
A CRITERION FOR THE SOLVABILITY OF NONHOMOGENEOUS CONVOLUTION EQUATIONS IN CONVEX DOMAINS OF Cn
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.