{"title":"超分布的拟渐近性结构定理","authors":"L. Neyt, J. Vindas","doi":"10.3233/ASY-181514","DOIUrl":null,"url":null,"abstract":"We provide complete structural theorems for the so-called quasiasymptotic behavior of ultradistributions. As an application of these results, we obtain descriptions of quasiasymptotic properties of regularizations at the origin of ultradistributions and discuss connections with Gelfand-Shilov spaces.","PeriodicalId":8603,"journal":{"name":"Asymptot. Anal.","volume":"142 1","pages":"1-18"},"PeriodicalIF":0.0000,"publicationDate":"2018-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Structural theorems for quasiasymptotics of ultradistributions\",\"authors\":\"L. Neyt, J. Vindas\",\"doi\":\"10.3233/ASY-181514\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We provide complete structural theorems for the so-called quasiasymptotic behavior of ultradistributions. As an application of these results, we obtain descriptions of quasiasymptotic properties of regularizations at the origin of ultradistributions and discuss connections with Gelfand-Shilov spaces.\",\"PeriodicalId\":8603,\"journal\":{\"name\":\"Asymptot. Anal.\",\"volume\":\"142 1\",\"pages\":\"1-18\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-09-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Asymptot. Anal.\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.3233/ASY-181514\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Asymptot. Anal.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3233/ASY-181514","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Structural theorems for quasiasymptotics of ultradistributions
We provide complete structural theorems for the so-called quasiasymptotic behavior of ultradistributions. As an application of these results, we obtain descriptions of quasiasymptotic properties of regularizations at the origin of ultradistributions and discuss connections with Gelfand-Shilov spaces.
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