{"title":"stieltjes变换调和均值的Tauberian定理及其在线性扩散中的应用","authors":"Y. Kasahara, S. Kotani","doi":"10.18910/58881","DOIUrl":null,"url":null,"abstract":"Abstract When two Radon measures on the half line are given, the harmon ic mean of their Stieltjes transforms is again the Stieltjes transform of a R adon measure. We study the relationship between the asymptotic behavior of the result ing measure and those of the original ones. The problem comes from the spectral theor y of second–order differential operators and the results are applied to linear di ffusions neither boundaries of which is regular.","PeriodicalId":54660,"journal":{"name":"Osaka Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.5000,"publicationDate":"2016-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"TAUBERIAN THEOREM FOR HARMONIC MEAN OF STIELTJES TRANSFORMS AND ITS APPLICATIONS TO LINEAR DIFFUSIONS\",\"authors\":\"Y. Kasahara, S. Kotani\",\"doi\":\"10.18910/58881\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract When two Radon measures on the half line are given, the harmon ic mean of their Stieltjes transforms is again the Stieltjes transform of a R adon measure. We study the relationship between the asymptotic behavior of the result ing measure and those of the original ones. The problem comes from the spectral theor y of second–order differential operators and the results are applied to linear di ffusions neither boundaries of which is regular.\",\"PeriodicalId\":54660,\"journal\":{\"name\":\"Osaka Journal of Mathematics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2016-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Osaka Journal of Mathematics\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.18910/58881\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Osaka Journal of Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.18910/58881","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
TAUBERIAN THEOREM FOR HARMONIC MEAN OF STIELTJES TRANSFORMS AND ITS APPLICATIONS TO LINEAR DIFFUSIONS
Abstract When two Radon measures on the half line are given, the harmon ic mean of their Stieltjes transforms is again the Stieltjes transform of a R adon measure. We study the relationship between the asymptotic behavior of the result ing measure and those of the original ones. The problem comes from the spectral theor y of second–order differential operators and the results are applied to linear di ffusions neither boundaries of which is regular.
期刊介绍：
Osaka Journal of Mathematics is published quarterly by the joint editorship of the Department of Mathematics, Graduate School of Science, Osaka University, and the Department of Mathematics, Faculty of Science, Osaka City University and the Department of Pure and Applied Mathematics, Graduate School of Information Science and Technology, Osaka University with the cooperation of the Department of Mathematical Sciences, Faculty of Engineering Science, Osaka University. The Journal is devoted entirely to the publication of original works in pure and applied mathematics.
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