Thin sets of integers in Harmonic analysis and p-stable random Fourier series

Details Thin sets of integers in Harmonic analysis and p-stable random Fourier series Thin sets of integers in Harmonic analysis and p-stable random Fourier series

2009-02-16

arxiv.org/abs/0902.2625v1

Mathematics

Functional Analysis

Scientific paper

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.

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