@article{Denk1995Hills-741,
  year={1995},
  doi={10.1002/mana.19951750105},
  title={Hill's equation systems and infinite determinants},
  volume={175},
  issn={0025-584X},
  journal={Mathematische Nachrichten},
  pages={47--60},
  author={Denk, Robert}
}

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    <dcterms:issued>1995</dcterms:issued>
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    <dcterms:bibliographicCitation>First publ. in: Mathematische Nachrichten 175 (1995), pp. 47-60</dcterms:bibliographicCitation>
    <dc:contributor>Denk, Robert</dc:contributor>
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    <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>
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