Hill's equation systems and infinite determinants

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DENK, Robert, 1995. Hill's equation systems and infinite determinants. In: Mathematische Nachrichten. 175, pp. 47-60. ISSN 0025-584X. eISSN 1522-2616

@article{Denk1995Hill'-741, title={Hill's equation systems and infinite determinants}, year={1995}, doi={10.1002/mana.19951750105}, volume={175}, issn={0025-584X}, journal={Mathematische Nachrichten}, pages={47--60}, author={Denk, Robert} }

<rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bibo="http://purl.org/ontology/bibo/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > <rdf:Description rdf:about="https://kops.uni-konstanz.de/rdf/resource/123456789/741"> <dc:contributor>Denk, Robert</dc:contributor> <dcterms:bibliographicCitation>First publ. in: Mathematische Nachrichten 175 (1995), pp. 47-60</dcterms:bibliographicCitation> <dc:language>eng</dc:language> <dc:rights>deposit-license</dc:rights> <dcterms:issued>1995</dcterms:issued> <dc:format>application/pdf</dc:format> <dcterms:title>Hill's equation systems and infinite determinants</dcterms:title> <bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/741"/> <dc:creator>Denk, Robert</dc:creator> <dcterms:abstract xml:lang="eng">In this paper a method is developed to calculate the Floquet exponents of the matrix-valued version of Hill's equation using infinite determinants. It is shown that the Floquet exponents are precisely the zeros of an infinite determinant corresponding to the differential equation. The proof of this result uses the continuity and holomorphy of the infinite determinant.</dcterms:abstract> <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-03-22T17:45:41Z</dcterms:available> <dcterms:rights rdf:resource="https://creativecommons.org/licenses/by-nc-nd/2.0/legalcode"/> <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-03-22T17:45:41Z</dc:date> </rdf:Description> </rdf:RDF>

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