TAUBERIAN THEOREM FOR HARMONIC MEAN OF STIELTJES TRANSFORMS AND ITS APPLICATIONS TO LINEAR DIFFUSIONS

IF 0.5 4区数学 Q3 MATHEMATICS

Osaka Journal of Mathematics Pub Date : 2016-01-01 DOI:10.18910/58881

Y. Kasahara, S. Kotani

引用次数: 3

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.

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stieltjes变换调和均值的Tauberian定理及其在线性扩散中的应用

当给定半线上的两个Radon测度时，它们的Stieltjes变换的谐波均值再次是一个R - adon测度的Stieltjes变换。我们研究了结果测度的渐近行为与原始测度的渐近行为之间的关系。该问题来源于二阶微分算子的谱理论，其结果应用于非正则边界的线性扩散。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Osaka Journal of Mathematics 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

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.