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单位圆上自由乘法卷积的正则性

IF 0.7 3区 数学 Q2 MATHEMATICS
Pacific Journal of Mathematics Pub Date : 2022-05-14 DOI:10.2140/pjm.2023.322.243
S. Belinschi, H. Bercovici, Ching-Wei Ho
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引用次数: 1

摘要

证明了单位圆上两个非退化概率测度的自由乘法卷积相对于弧长测度不存在连续的奇异部分。类似的结果早已在直线上的自由加性卷积和正半线上的自由乘性卷积中得到。
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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Regularity for free multiplicative convolution on the unit circle
It is shown that the free multiplicative convolution of two nondegenerate probability measures on the unit circle has no continuous singular part relative to arclength measure. Analogous results have long been known for free additive convolutions on the line and free multiplicative convolution on the positive half-line.
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来源期刊
Pacific Journal of Mathematics
Pacific Journal of Mathematics 数学-数学
CiteScore
1.30
自引率
0.00%
发文量
93
审稿时长
4-8 weeks
期刊介绍： Founded in 1951, PJM has published mathematics research for more than 60 years. PJM is run by mathematicians from the Pacific Rim. PJM aims to publish high-quality articles in all branches of mathematics, at low cost to libraries and individuals. The Pacific Journal of Mathematics is incorporated as a 501(c)(3) California nonprofit.
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