Thin sets of integers in Harmonic analysis and p-stable random Fourier series
Functional Analysis
2009-02-17 v1
Abstract
We investigate the behavior of some thin sets of integers defined through random trigonometric polynomial when one replaces Gaussian or Rademacher variables by p-stable ones, with 1 < p < 2. We show that in one case this behavior is essentially the same as in the Gaussian case, whereas in another case, this behavior is entirely different.
Keywords
Cite
@article{arxiv.0902.2625,
title = {Thin sets of integers in Harmonic analysis and p-stable random Fourier series},
author = {Pascal Lefèvre and Daniel Li and Hervé Queffélec and Luis Rodriguez-Piazza},
journal= {arXiv preprint arXiv:0902.2625},
year = {2009}
}