{"title":"常系数微分算子复域的谱合成。对偶定理","authors":"I. F. Krasichkov-Ternovskii","doi":"10.1070/SM1993V074N02ABEH003349","DOIUrl":null,"url":null,"abstract":"The problem of spectral synthesis in a complex domain for a differential operator with symbol , is reduced to the problem of a local description of the closed submodules of a module (of entire functions of exponential type) over the ring of polynomials of the form , .","PeriodicalId":208776,"journal":{"name":"Mathematics of The Ussr-sbornik","volume":"4 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1993-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"18","resultStr":"{\"title\":\"SPECTRAL SYNTHESIS IN A COMPLEX DOMAIN FOR A DIFFERENTIAL OPERATOR WITH CONSTANT COEFFICIENTS. I: A DUALITY THEOREM\",\"authors\":\"I. F. Krasichkov-Ternovskii\",\"doi\":\"10.1070/SM1993V074N02ABEH003349\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The problem of spectral synthesis in a complex domain for a differential operator with symbol , is reduced to the problem of a local description of the closed submodules of a module (of entire functions of exponential type) over the ring of polynomials of the form , .\",\"PeriodicalId\":208776,\"journal\":{\"name\":\"Mathematics of The Ussr-sbornik\",\"volume\":\"4 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1993-02-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"18\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematics of The Ussr-sbornik\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1070/SM1993V074N02ABEH003349\",\"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-sbornik","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1070/SM1993V074N02ABEH003349","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
SPECTRAL SYNTHESIS IN A COMPLEX DOMAIN FOR A DIFFERENTIAL OPERATOR WITH CONSTANT COEFFICIENTS. I: A DUALITY THEOREM
The problem of spectral synthesis in a complex domain for a differential operator with symbol , is reduced to the problem of a local description of the closed submodules of a module (of entire functions of exponential type) over the ring of polynomials of the form , .
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