Prony's method on the sphere
DC Element | Wert | Sprache |
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dc.contributor.author | Kunis, S. | |
dc.contributor.author | Möller, H.M. | |
dc.contributor.author | von der Ohe, U. | |
dc.date.accessioned | 2023-02-17T12:14:42Z | - |
dc.date.available | 2023-02-17T12:14:42Z | - |
dc.date.issued | 2019 | |
dc.identifier.issn | 2426-8399 | |
dc.identifier.uri | http://osnascholar.ub.uni-osnabrueck.de/handle/unios/65790 | - |
dc.description.abstract | Eigenvalue analysis based methods are well suited for the reconstruction of finitely supported measures from their moments up to a certain degree. We give a precise description when Prony's method succeeds in terms of an interpolation condition. In particular, this allows for the unique reconstruction of a measure from its trigonometric moments whenever its support is separated and also for the reconstruction of a measure on the unit sphere from its moments with respect to spherical harmonics. Both results hold in arbitrary dimensions and also yield a certificate for popular semidefinite relaxations of these reconstruction problems in the nonnegative case. © Société de Mathématiques Appliquées et Industrielles, 2019 Certains droits réservés. | |
dc.description.sponsorship | Deutsche ForschungsgemeinschaftDeutsche Forschungsgemeinschaft,DFG,GRK 1916,SFB 944; The third author was supported by an INdAM-DP-COFUND-2015/Marie Sk?odowska-Curie Actions scholarship, grant number 713485. We gratefully acknowledge support by the MIUR-DAAD Joint Mobility Program (?PPP Italien?).; The first author was supported by DFG GRK 1916 and DFG SFB 944. The third author was supported by an INdAM-DP-COFUND-2015/Marie Skłodowska-Curie Actions scholarship, grant number 713485. We gratefully acknowledge support by the MIUR-DAAD Joint Mobility Program (“PPP Italien”). | |
dc.language.iso | en | |
dc.publisher | Centre Mersenne | |
dc.relation.ispartof | SMAI Journal of Computational Mathematics | |
dc.subject | exponential sum | |
dc.subject | frequency analysis | |
dc.subject | moment problem | |
dc.subject | spectral analysis | |
dc.subject | super-resolution | |
dc.title | Prony's method on the sphere | |
dc.type | journal article | |
dc.identifier.doi | 10.5802/smai-jcm.53 | |
dc.identifier.scopus | 2-s2.0-85083381897 | |
dc.identifier.url | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85083381897&doi=10.5802%2fsmai-jcm.53&partnerID=40&md5=91a1062d77cf35f4e8a7daf003a87e1c | |
dc.description.volume | S5 | |
dc.description.startpage | 87 | |
dc.description.endpage | 97 | |
dcterms.isPartOf.abbreviation | SMAI. J. Comput. Math. | |
crisitem.author.dept | FB 06 - Mathematik/Informatik | - |
crisitem.author.deptid | fb06 | - |
crisitem.author.parentorg | Universität Osnabrück | - |
crisitem.author.netid | KuSt212 | - |
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geprüft am 06.06.2024