Estimates of the renewal measure

IF 0.7 4区数学 Q2 MATHEMATICS

Journal of the Mathematical Society of Japan Pub Date : 2021-06-04 DOI:10.2969/JMSJ/83298329

H. Carlsson

引用次数: 0

Abstract

We prove sharp estimates for the renewal measure of a strongly nonlattice probability measure on the real line. In particular we consider the case where the measure has finite moments between 1 and 2. The proof uses Fourier analysis of tempered distributions.

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更新措施的估计

我们证明了实线上强非态度概率测度的更新测度的尖锐估计。特别地，我们考虑度量具有在1和2之间的有限矩的情况。证明使用回火分布的傅立叶分析。

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

Journal of the Mathematical Society of Japan 数学-数学

CiteScore

1.40

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of the Mathematical Society of Japan (JMSJ) was founded in 1948 and is published quarterly by the Mathematical Society of Japan (MSJ). It covers a wide range of pure mathematics. To maintain high standards, research articles in the journal are selected by the editorial board with the aid of distinguished international referees. Electronic access to the articles is offered through Project Euclid and J-STAGE. We provide free access to back issues three years after publication (available also at Online Index).