Prony's method on the sphere

DC ElementWertSprache
dc.contributor.authorKunis, S.
dc.contributor.authorMöller, H.M.
dc.contributor.authorvon der Ohe, U.
dc.date.accessioned2023-02-17T12:14:42Z-
dc.date.available2023-02-17T12:14:42Z-
dc.date.issued2019
dc.identifier.issn2426-8399
dc.identifier.urihttp://osnascholar.ub.uni-osnabrueck.de/handle/unios/65790-
dc.description.abstractEigenvalue 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.sponsorshipDeutsche 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.isoen
dc.publisherCentre Mersenne
dc.relation.ispartofSMAI Journal of Computational Mathematics
dc.subjectexponential sum
dc.subjectfrequency analysis
dc.subjectmoment problem
dc.subjectspectral analysis
dc.subjectsuper-resolution
dc.titleProny's method on the sphere
dc.typejournal article
dc.identifier.doi10.5802/smai-jcm.53
dc.identifier.scopus2-s2.0-85083381897
dc.identifier.urlhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85083381897&doi=10.5802%2fsmai-jcm.53&partnerID=40&md5=91a1062d77cf35f4e8a7daf003a87e1c
dc.description.volumeS5
dc.description.startpage87
dc.description.endpage97
dcterms.isPartOf.abbreviationSMAI. J. Comput. Math.
crisitem.author.deptFB 06 - Mathematik/Informatik-
crisitem.author.deptidfb06-
crisitem.author.parentorgUniversität Osnabrück-
crisitem.author.netidKuSt212-
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