Planar sampling sets for the short-time Fourier transform
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | JAMING, Philippe | |
| dc.contributor.author | SPECKBACHER, Michael | |
| dc.date.accessioned | 2024-04-04T02:57:44Z | |
| dc.date.available | 2024-04-04T02:57:44Z | |
| dc.date.issued | 2021 | |
| dc.identifier.issn | 0176-4276 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/192589 | |
| dc.description.abstractEn | This paper considers the problem of restricting the short-time Fourier transform to domains of nonzero measure in the plane and studies sampling bounds of such systems. In particular, we give a quantitative estimate for the lower sampling bound in the case of Hermite windows and derive a sufficient condition for a large class of windows in terms of a certain planar density. On the way, we prove a Remez-type inequality for polyanalytic functions. MSC2010: 42C40, 46E15, 46E20, 42C15Revised according to referee's recomandation | |
| dc.language.iso | en | |
| dc.publisher | Springer Verlag | |
| dc.subject.en | short-time Fourier transform | |
| dc.subject.en | concentration estimates | |
| dc.subject.en | planar sets of sampling | |
| dc.subject.en | polyanalytic Bargmann-Fock spaces | |
| dc.subject.en | irregular Gabor frames | |
| dc.subject.en | Remez-type inequalities | |
| dc.subject.en | sampling sets | |
| dc.subject.en | poly- analytic Bargmann-Fock spaces | |
| dc.title.en | Planar sampling sets for the short-time Fourier transform | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1007/s00365-020-09503-4 | |
| dc.subject.hal | Mathématiques [math]/Analyse classique [math.CA] | |
| dc.subject.hal | Mathématiques [math]/Analyse fonctionnelle [math.FA] | |
| dc.subject.hal | Mathématiques [math]/Variables complexes [math.CV] | |
| dc.identifier.arxiv | 1906.02964 | |
| bordeaux.journal | Constructive Approximation | |
| bordeaux.page | 479-502 | |
| bordeaux.volume | 53 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-02147705 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-02147705v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Constructive%20Approximation&rft.date=2021&rft.volume=53&rft.spage=479-502&rft.epage=479-502&rft.eissn=0176-4276&rft.issn=0176-4276&rft.au=JAMING,%20Philippe&SPECKBACHER,%20Michael&rft.genre=article |
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