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

Lefèvre, Pascal; Li, Daniel; Queffélec, Hervé; Rodriguez-Piazza, Luis

Document type :

Pré-publication ou Document de travail

Title :

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

Author(s) :

Lefèvre, Pascal [Auteur correspondant]
Laboratoire de Mathématiques de Lens [LML]
Li, Daniel [Auteur]
Laboratoire de Mathématiques de Lens [LML]
Queffélec, Hervé [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Rodriguez-Piazza, Luis [Auteur]

HAL domain(s) :

Mathématiques [math]/Analyse fonctionnelle [math.FA]

English abstract : [en]

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 ...
Show more >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.Show less >

Language :

Anglais

Collections :

Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL

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