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dc.contributor.advisor Plonka-Hoch, Gerlind Prof. Dr.
dc.contributor.author Stampfer, Kilian
dc.date.accessioned 2019-05-10T09:01:12Z
dc.date.available 2019-05-10T09:01:12Z
dc.date.issued 2019-05-10
dc.identifier.uri http://hdl.handle.net/11858/00-1735-0000-002E-E631-3
dc.language.iso eng de
dc.rights.uri http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subject.ddc 510 de
dc.title The Generalized Operator Based Prony Method de
dc.type doctoralThesis de
dc.contributor.referee Plonka-Hoch, Gerlind Prof. Dr.
dc.date.examination 2019-01-17
dc.description.abstracteng The 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.coReferee Kunis, Stefan Prof. Dr.
dc.subject.eng generalized Prony method de
dc.subject.eng exponential operators
dc.subject.eng sparse expansions into eigenfunctions of linear operators
dc.subject.eng parameter identification
dc.subject.eng generalized sampling
dc.identifier.urn urn:nbn:de:gbv:7-11858/00-1735-0000-002E-E631-3-3
dc.affiliation.institute Fakultät für Mathematik und Informatik de
dc.subject.gokfull Mathematics (PPN61756535X) de
dc.identifier.ppn 1666651087

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