On random Hermite series
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | IMEKRAZ, Rafik | |
| hal.structure.identifier | Laboratoire de Mathématiques Jean Leray [LMJL] | |
| dc.contributor.author | ROBERT, Didier | |
| hal.structure.identifier | Laboratoire de Mathématiques Jean Leray [LMJL] | |
| dc.contributor.author | THOMANN, Laurent | |
| dc.date.accessioned | 2024-04-04T02:18:45Z | |
| dc.date.available | 2024-04-04T02:18:45Z | |
| dc.date.created | 2016 | |
| dc.date.issued | 2016-02-02 | |
| dc.identifier.issn | 0002-9947 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189343 | |
| dc.description.abstractEn | 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. | |
| dc.description.sponsorship | Opérateurs non-autoadjoints, analyse semiclassique et problèmes d'évolution - ANR-11-BS01-0019 | |
| dc.description.sponsorship | Analyse asymptotique des Equations aux dérivées partielles d'évolution - ANR-13-BS01-0010 | |
| dc.description.sponsorship | Equations Hamiltoniennes et Dispersives - Dynamique - ANR-10-JCJC-0109 | |
| dc.description.sponsorship | Centre de Mathématiques Henri Lebesgue : fondements, interactions, applications et Formation - ANR-11-LABX-0020 | |
| dc.language.iso | en | |
| dc.publisher | American Mathematical Society | |
| dc.subject.en | Harmonic oscillator | |
| dc.subject.en | harmonic analysis | |
| dc.subject.en | random series | |
| dc.subject.en | Hermite functions | |
| dc.title.en | On random Hermite series | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| dc.subject.hal | Mathématiques [math]/Théorie spectrale [math.SP] | |
| dc.subject.hal | Mathématiques [math]/Analyse classique [math.CA] | |
| dc.identifier.arxiv | 1403.4913 | |
| bordeaux.journal | Transactions of the American Mathematical Society | |
| bordeaux.page | 2763--2792 | |
| bordeaux.volume | 368 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 4 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00961222 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Non spécifiée | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00961222v1 | |
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