{"title":"A bounds Tauberian theorem","authors":"A. Stenger","doi":"10.7153/jca-2019-15-04","DOIUrl":null,"url":null,"abstract":". We weaken the hypothesis and the conclusion of a Hardy–Littlewood Tauberian the- orem, and apply the new theorem to deduce asymptotic behavior of the coef fi cients of an expo-nentiated lacunary series.","PeriodicalId":73656,"journal":{"name":"Journal of classical analysis","volume":"1 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of classical analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7153/jca-2019-15-04","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
. We weaken the hypothesis and the conclusion of a Hardy–Littlewood Tauberian the- orem, and apply the new theorem to deduce asymptotic behavior of the coef fi cients of an expo-nentiated lacunary series.