# Thin sets of integers in Harmonic analysis and p-stable random Fourier series - Mathematics > Functional Analysis

Thin sets of integers in Harmonic analysis and p-stable random Fourier series - Mathematics > Functional Analysis - Download this document for free, or read online. Document in PDF available to download.

Abstract: We investigate the behavior of some thin sets of integers defined throughrandom trigonometric polynomial when one replaces Gaussian or Rademachervariables by p-stable ones, with 1 < p < 2. We show that in one case thisbehavior is essentially the same as in the Gaussian case, whereas in anothercase, this behavior is entirely different.

Author: ** Pascal Lefèvre LM-Lens, Daniel Li LM-Lens, Hervé Queffélec LPP, Luis Rodriguez-Piazza**

Source: https://arxiv.org/