{"title":"齐次多项式的水平曲线逼近曲线及齐次多项式的级数","authors":"E. Shnol","doi":"10.1070/SM1992V072N02ABEH002145","DOIUrl":null,"url":null,"abstract":"Conditions are found that are necessary and sufficient for a curve to bound the domain of convergence of a series in homogeneous polynomials. The conditions have a nonlocal character and can be expressed in terms of the Fourier coefficients of the Fourier coefficients of .","PeriodicalId":208776,"journal":{"name":"Mathematics of The Ussr-sbornik","volume":"72 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1992-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"ON APPROXIMATION OF CURVES BY LEVEL CURVES OF HOMOGENEOUS POLYNOMIALS, AND ON SERIES IN HOMOGENEOUS POLYNOMIALS\",\"authors\":\"E. Shnol\",\"doi\":\"10.1070/SM1992V072N02ABEH002145\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Conditions are found that are necessary and sufficient for a curve to bound the domain of convergence of a series in homogeneous polynomials. The conditions have a nonlocal character and can be expressed in terms of the Fourier coefficients of the Fourier coefficients of .\",\"PeriodicalId\":208776,\"journal\":{\"name\":\"Mathematics of The Ussr-sbornik\",\"volume\":\"72 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1992-02-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematics of The Ussr-sbornik\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1070/SM1992V072N02ABEH002145\",\"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/SM1992V072N02ABEH002145","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
ON APPROXIMATION OF CURVES BY LEVEL CURVES OF HOMOGENEOUS POLYNOMIALS, AND ON SERIES IN HOMOGENEOUS POLYNOMIALS
Conditions are found that are necessary and sufficient for a curve to bound the domain of convergence of a series in homogeneous polynomials. The conditions have a nonlocal character and can be expressed in terms of the Fourier coefficients of the Fourier coefficients of .
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