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Concentration estimates for band-limited spherical harmonics expansions via the large sieve principle
hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
dc.contributor.author | SPECKBACHER, Michael | |
dc.contributor.author | HRYCAK, Tomazs | |
dc.date.accessioned | 2024-04-04T02:57:03Z | |
dc.date.available | 2024-04-04T02:57:03Z | |
dc.date.issued | 2020 | |
dc.identifier.issn | 1069-5869 | |
dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/192525 | |
dc.description.abstractEn | We study a concentration problem on the unit sphere S-2 for band-limited spherical harmonics expansions 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 coefficients of certain zonal filters. We also demonstrate an analogue of the classical large sieve inequality for spherical harmonics expansions. | |
dc.language.iso | en | |
dc.publisher | Springer Verlag | |
dc.title.en | Concentration estimates for band-limited spherical harmonics expansions via the large sieve principle | |
dc.type | Article de revue | |
dc.identifier.doi | 10.1007/s00041-020-09744-8 | |
dc.subject.hal | Mathématiques [math]/Variables complexes [math.CV] | |
dc.subject.hal | Mathématiques [math]/Analyse classique [math.CA] | |
dc.subject.hal | Mathématiques [math]/Analyse fonctionnelle [math.FA] | |
bordeaux.journal | Journal of Fourier Analysis and Applications | |
bordeaux.volume | 26 | |
bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
bordeaux.issue | 3 | |
bordeaux.institution | Université de Bordeaux | |
bordeaux.institution | Bordeaux INP | |
bordeaux.institution | CNRS | |
bordeaux.peerReviewed | oui | |
hal.identifier | hal-02479233 | |
hal.version | 1 | |
hal.popular | non | |
hal.audience | Internationale | |
hal.origin.link | https://hal.archives-ouvertes.fr//hal-02479233v1 | |
bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal%20of%20Fourier%20Analysis%20and%20Applications&rft.date=2020&rft.volume=26&rft.issue=3&rft.eissn=1069-5869&rft.issn=1069-5869&rft.au=SPECKBACHER,%20Michael&HRYCAK,%20Tomazs&rft.genre=article |
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