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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.

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 …