Quantitative estimates of sampling constants in model spaces
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | HARTMANN, Andreas | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | JAMING, Philippe | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | KELLAY, Karim | |
| dc.date.accessioned | 2024-04-04T03:09:38Z | |
| dc.date.available | 2024-04-04T03:09:38Z | |
| dc.date.created | 2017 | |
| dc.date.issued | 2020 | |
| dc.identifier.issn | 0002-9327 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/193623 | |
| dc.description.abstractEn | We establish quantitative estimates for sampling (dominating) sets in model spaces associated with meromorphic inner functions, i.e. those corresponding to de Branges spaces. Our results encompass the Logvinenko-Sereda-Panejah (LSP) Theorem including Kovrijkine's optimal sampling constants for Paley-Wiener spaces. It also extends Dyakonov's LSP theoremfor model spaces associated with bounded derivative inner functions. Considering meromorphic inner functions allows us tointroduce a new geometric density condition, in terms of which the sampling sets are completely characterized. This, incomparison to Volberg's characterization of sampling measures in terms of harmonic measure, enables us to obtain explicitestimates on the sampling constants. The methods combine Baranov-Bernstein inequalities, reverse Carleson measures andRemez inequalities . | |
| dc.description.sponsorship | Analyse Variationnelle en Tomographies photoacoustique, thermoacoustique et ultrasonore - ANR-12-BS01-0001 | |
| dc.language.iso | en | |
| dc.publisher | Johns Hopkins University Press | |
| dc.subject.en | Model space | |
| dc.subject.en | Bernstein inequalities | |
| dc.subject.en | sampling | |
| dc.subject.en | reverse Carleson measure | |
| dc.title.en | Quantitative estimates of sampling constants in model spaces | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Variables complexes [math.CV] | |
| dc.identifier.arxiv | 1707.07880 | |
| bordeaux.journal | American Journal of Mathematics | |
| bordeaux.page | 1301-1326 | |
| bordeaux.volume | 142 | |
| 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-01566472 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01566472v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=American%20Journal%20of%20Mathematics&rft.date=2020&rft.volume=142&rft.issue=4&rft.spage=1301-1326&rft.epage=1301-1326&rft.eissn=0002-9327&rft.issn=0002-9327&rft.au=HARTMANN,%20Andreas&JAMING,%20Philippe&KELLAY,%20Karim&rft.genre=article |
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