{"title":"SBV对偶中成员的表示公式","authors":"Philippe Bouafia, T. Pauw","doi":"10.2422/2036-2145.202110_011","DOIUrl":null,"url":null,"abstract":"We give an integral representation formula for members of the dual ofSBV (R) in terms of functions that are defined on R̂, an appropriate fiber space that we introduce, consisting of pairs (x, [E ]x ) where [E ]x is an approximate germ of an (n−1)-rectifiable set E at x.","PeriodicalId":8132,"journal":{"name":"ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE","volume":"27 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2021-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A representation formula for members of SBV dual\",\"authors\":\"Philippe Bouafia, T. Pauw\",\"doi\":\"10.2422/2036-2145.202110_011\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We give an integral representation formula for members of the dual ofSBV (R) in terms of functions that are defined on R̂, an appropriate fiber space that we introduce, consisting of pairs (x, [E ]x ) where [E ]x is an approximate germ of an (n−1)-rectifiable set E at x.\",\"PeriodicalId\":8132,\"journal\":{\"name\":\"ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE\",\"volume\":\"27 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-10-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2422/2036-2145.202110_011\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2422/2036-2145.202110_011","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We give an integral representation formula for members of the dual ofSBV (R) in terms of functions that are defined on R̂, an appropriate fiber space that we introduce, consisting of pairs (x, [E ]x ) where [E ]x is an approximate germ of an (n−1)-rectifiable set E at x.
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