CONCENTRATION ESTIMATES FOR FINITE EXPANSIONS OF SPHERICAL HARMONICS ON TWO-POINT HOMOGENEOUS SPACES VIA THE LARGE SIEVE PRINCIPLE
| 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 | SPECKBACHER, Michael | |
| dc.date.accessioned | 2024-04-04T02:55:05Z | |
| dc.date.available | 2024-04-04T02:55:05Z | |
| dc.date.issued | 2021 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/192330 | |
| dc.description.abstractEn | We study the concentration problem on compact two-point homogeneous spaces of finite expansions of eigenfunctions of the Laplace-Beltrami operator using large sieve methods. We derive upper bounds for concentration in terms of the maximum Nyquist density. Our proof uses estimates of the spherical harmonics basis coefficients of certain zonal filters and an ordering result for Jacobi polynomials for arguments close to one. | |
| dc.language.iso | en | |
| dc.title.en | CONCENTRATION ESTIMATES FOR FINITE EXPANSIONS OF SPHERICAL HARMONICS ON TWO-POINT HOMOGENEOUS SPACES VIA THE LARGE SIEVE PRINCIPLE | |
| dc.type | Article de revue | |
| 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 | 2004.02474 | |
| bordeaux.journal | Sampling Theory, Signal Processing, and Data Analysis | |
| bordeaux.page | 9 | |
| bordeaux.volume | 19 | |
| 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-02532791 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-02532791v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Sampling%20Theory,%20Signal%20Processing,%20and%20Data%20Analysis&rft.date=2021&rft.volume=19&rft.spage=9&rft.epage=9&rft.au=JAMING,%20Philippe&SPECKBACHER,%20Michael&rft.genre=article |
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