On random Hermite series
Language
en
Article de revue
This item was published in
Transactions of the American Mathematical Society. 2016-02-02, vol. 368, n° 4, p. 2763--2792
American Mathematical Society
English Abstract
We study integrability and continuity properties of random series of Hermite functions. We get optimal results which are analogues to classical results concerning Fourier series, like the Paley-Zygmund or the Salem-Zygmund ...Read more >
We study integrability and continuity properties of random series of Hermite functions. We get optimal results which are analogues to classical results concerning Fourier series, like the Paley-Zygmund or the Salem-Zygmund theorems. We also consider the case of series of radial Hermite functions, which are not so well-behaved. In this context, we prove some L^p bounds of radial Hermite functions, which are optimal when p is large.Read less <
English Keywords
Harmonic oscillator
harmonic analysis
random series
Hermite functions
ANR Project
Opérateurs non-autoadjoints, analyse semiclassique et problèmes d'évolution - ANR-11-BS01-0019
Analyse asymptotique des Equations aux dérivées partielles d'évolution - ANR-13-BS01-0010
Equations Hamiltoniennes et Dispersives - Dynamique - ANR-10-JCJC-0109
Centre de Mathématiques Henri Lebesgue : fondements, interactions, applications et Formation - ANR-11-LABX-0020
Analyse asymptotique des Equations aux dérivées partielles d'évolution - ANR-13-BS01-0010
Equations Hamiltoniennes et Dispersives - Dynamique - ANR-10-JCJC-0109
Centre de Mathématiques Henri Lebesgue : fondements, interactions, applications et Formation - ANR-11-LABX-0020
Origin
Hal imported