English

The distribution of vector-valued Rademacher series

Functional Analysis 2008-02-03 v2

Abstract

Let X=ϵnxnX=\sum \epsilon_n x_n be a Rademacher series with vector-valued coefficients. We obtain an approximate formula for the distribution of the random variable X||X|| in terms of its mean and a certain quantity derived from the K-functional of interpolation theory. Several applications of the formula are given.

Keywords

Cite

@article{arxiv.math/9206201,
  title  = {The distribution of vector-valued Rademacher series},
  author = {Stephen J. Dilworth and Stephen J. Montgomery-Smith},
  journal= {arXiv preprint arXiv:math/9206201},
  year   = {2008}
}
R2 v1 2026-07-22T17:53:54.106Z