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The Generalized Operator Based Prony Method

dc.contributor.advisorPlonka-Hoch, Gerlind Prof. Dr.
dc.contributor.authorStampfer, Kilian
dc.date.accessioned2019-05-10T09:01:12Z
dc.date.available2019-05-10T09:01:12Z
dc.date.issued2019-05-10
dc.identifier.urihttp://hdl.handle.net/11858/00-1735-0000-002E-E631-3
dc.identifier.urihttp://dx.doi.org/10.53846/goediss-7406
dc.language.isoengde
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subject.ddc510de
dc.titleThe Generalized Operator Based Prony Methodde
dc.typedoctoralThesisde
dc.contributor.refereePlonka-Hoch, Gerlind Prof. Dr.
dc.date.examination2019-01-17
dc.description.abstractengThe well known Prony method was introduced to reconstruct finite linear combinations of complex exponentials. A first approach towards generalizing this method to more arbitrary expansions was made by Peter & Plonka in 2013. Based on their work, this thesis generalizes the classical Prony method in a purely operator-based way to finite linear combinations of eigenfunctions of certain linear operators. The major achievements are thereby a more flexible way of data acquisition and a full embedding of all existing examples of the classical Prony method. Furthermore, new examples including the Stieltjes-Wigert polynomials have been given and it was also possible to derive a general treatment of linear combinations into Sturm-Liouville type polynomials in the context of the Prony method.de
dc.contributor.coRefereeKunis, Stefan Prof. Dr.
dc.subject.enggeneralized Prony methodde
dc.subject.engexponential operators
dc.subject.engsparse expansions into eigenfunctions of linear operators
dc.subject.engparameter identification
dc.subject.enggeneralized sampling
dc.identifier.urnurn:nbn:de:gbv:7-11858/00-1735-0000-002E-E631-3-3
dc.affiliation.instituteFakultät für Mathematik und Informatikde
dc.subject.gokfullMathematics (PPN61756535X)de
dc.identifier.ppn1666651087


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