This is an announcement for the paper "Thin sets of integers in Harmonic analysis and p-stable random Fourier series" by Pascal Lefevre, Daniel Li, Herve Queffelec, and Luis Rodriguez-Piazza.
Abstract: 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.
Archive classification: math.FA
Mathematics Subject Classification: Primary: 43A46 ; secondary: 42A55; 42A61; 60G52
The source file(s), p-stableBETISfinale.tex: 72111 bytes, is(are) stored in gzipped form as 0902.2625.gz with size 21kb. The corresponding postcript file has gzipped size 143kb.
Submitted from: lefevre@euler.univ-artois.fr
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http://front.math.ucdavis.edu/0902.2625
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http://arXiv.org/abs/0902.2625
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