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

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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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Functional Analysis, Primary: 43A46 ; secondary: 42A55; 42A61; 60G52

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http://salesiana.dossiersoluciones.com/handle/123456789/219999

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0902.2625
 http://arxiv.org/abs/0902.2625

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arXiv