A BORDERLINE RANDOM FOURIER-SERIES
成果类型：
Article
署名作者：
TALAGRAND, M
署名单位：
University System of Ohio; Ohio State University
刊物名称：
ANNALS OF PROBABILITY
ISSN/ISSBN：
0091-1798
DOI：
10.1214/aop/1176988289
发表日期：
1995
页码：
776-785
关键词：
摘要：
Consider a mean zero random variable X, and an independent sequence (X(n)) distributed like X. We show that the random Fourier series Sigma(n greater than or equal to 1) n(-1)X(n) exp(2i pi nt) converges uniformly almost surely if and only if E(\X\ log log(max(e(e), \X\))) < infinity.