{"title":"局部紧群不可约表示的Hardy空间","authors":"Oleh Lopushansky","doi":"10.1016/j.top.2009.11.015","DOIUrl":null,"url":null,"abstract":"<div><p>Hardy type spaces of complex analytic functions with infinitely many variables, defined on the interior of irreducible unitary orbits of topological groups with an invariant measure are investigated. Spaces of Taylor coefficients for such classes of analytic functions are described by the associated symmetric Fock spaces.</p></div>","PeriodicalId":54424,"journal":{"name":"Topology","volume":"48 2","pages":"Pages 169-177"},"PeriodicalIF":0.0000,"publicationDate":"2009-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.top.2009.11.015","citationCount":"3","resultStr":"{\"title\":\"Hardy spaces for irreducible representations of locally compact groups\",\"authors\":\"Oleh Lopushansky\",\"doi\":\"10.1016/j.top.2009.11.015\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Hardy type spaces of complex analytic functions with infinitely many variables, defined on the interior of irreducible unitary orbits of topological groups with an invariant measure are investigated. Spaces of Taylor coefficients for such classes of analytic functions are described by the associated symmetric Fock spaces.</p></div>\",\"PeriodicalId\":54424,\"journal\":{\"name\":\"Topology\",\"volume\":\"48 2\",\"pages\":\"Pages 169-177\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2009-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/j.top.2009.11.015\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Topology\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0040938309000275\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Topology","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0040938309000275","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Hardy spaces for irreducible representations of locally compact groups
Hardy type spaces of complex analytic functions with infinitely many variables, defined on the interior of irreducible unitary orbits of topological groups with an invariant measure are investigated. Spaces of Taylor coefficients for such classes of analytic functions are described by the associated symmetric Fock spaces.
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