A dichotomy for infinite convolutions of discrete measures-Reference-Cited by-同舟云学术

A dichotomy for infinite convolutions of discrete measures

Published:1973-03 Issue:2 Volume:73 Page:307-316
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

Brown G.,Moran W.

Abstract

Measures, μ which can be realized as an infinite convolution

where each measure μn is a discrete measure, arise naturally in many parts of analysis and number theory (see (15)). The basic property of these measures is ‘purity’; i.e. such a measure μ 1must be absolutely continuous, continuous and singular, or discrete.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference16 articles.

1. Sur la convolution d'une infinité de distributions de Bernoulli

2. Some Multiplicative Linear Functionals on M(G)

3. Entropy and singularity of infinite convolutions

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