Prony's Method Under an Almost Sharp Multivariate Ingham Inequality
DC Element | Wert | Sprache |
---|---|---|
dc.contributor.author | Kunis, Stefan | |
dc.contributor.author | Moeller, H. Michael | |
dc.contributor.author | Peter, Thomas | |
dc.contributor.author | von der Ohe, Ulrich | |
dc.date.accessioned | 2021-12-23T16:09:27Z | - |
dc.date.available | 2021-12-23T16:09:27Z | - |
dc.date.issued | 2018 | |
dc.identifier.issn | 10695869 | |
dc.identifier.uri | https://osnascholar.ub.uni-osnabrueck.de/handle/unios/8803 | - |
dc.description.abstract | The parameter reconstruction problem in a sum of Dirac measures from its low frequency trigonometric moments is well understood in the univariate case and has a sharp transition of identifiability with respect to the ratio of the separation distance of the parameters and the order of moments. Towards a similar statement in the multivariate case, we present an Ingham inequality which improves the previously best known dimension-dependent constant from square-root growth to a logarithmic one. Secondly, we refine an argument that an Ingham inequality implies identifiability in multivariate Prony methods to the case of commonly used max-degree by a short linear algebra argument, closely related to a flat extension principle and the stagnation of a generalized Hilbert function. | |
dc.description.sponsorship | DFGGerman Research Foundation (DFG)European Commission [1916]; DAAD-PRIME-program; The authors thank the referees for their valuable suggestions and additional pointers to related literature. Moreover, we gratefully acknowledge support by the DFG within the research training group 1916: Combinatorial structures in geometry and by the DAAD-PRIME-program. | |
dc.language.iso | en | |
dc.publisher | SPRINGER BIRKHAUSER | |
dc.relation.ispartof | JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS | |
dc.subject | 30E05 | |
dc.subject | 42C15 | |
dc.subject | 65F30 | |
dc.subject | 65T40 | |
dc.subject | ALGORITHMS | |
dc.subject | Exponential sum | |
dc.subject | EXPONENTIAL-SUMS | |
dc.subject | FINITE RATE | |
dc.subject | Frequency analysis | |
dc.subject | Ingham inequality | |
dc.subject | INNOVATION | |
dc.subject | INTERPOLATION | |
dc.subject | Mathematics | |
dc.subject | Mathematics, Applied | |
dc.subject | MAXIMUM-LIKELIHOOD | |
dc.subject | Moment problem | |
dc.subject | PARAMETER-ESTIMATION | |
dc.subject | SIGNALS | |
dc.subject | SINUSOIDS | |
dc.subject | Super-resolution | |
dc.subject | TOTAL LEAST-SQUARES | |
dc.title | Prony's Method Under an Almost Sharp Multivariate Ingham Inequality | |
dc.type | journal article | |
dc.identifier.doi | 10.1007/s00041-017-9571-5 | |
dc.identifier.isi | ISI:000445100200006 | |
dc.description.volume | 24 | |
dc.description.issue | 5 | |
dc.description.startpage | 1306 | |
dc.description.endpage | 1318 | |
dc.identifier.eissn | 15315851 | |
dc.publisher.place | 233 SPRING STREET, 6TH FLOOR, NEW YORK, NY 10013 USA | |
dcterms.isPartOf.abbreviation | J. Fourier Anal. Appl. | |
dcterms.oaStatus | Green Submitted | |
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