Publikation: Hill's equation systems and infinite determinants
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1995
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Mathematische Nachrichten. 1995, 175, pp. 47-60. ISSN 0025-584X. eISSN 1522-2616. Available under: doi: 10.1002/mana.19951750105
Zusammenfassung
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.
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510 Mathematik
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DENK, Robert, 1995. Hill's equation systems and infinite determinants. In: Mathematische Nachrichten. 1995, 175, pp. 47-60. ISSN 0025-584X. eISSN 1522-2616. Available under: doi: 10.1002/mana.19951750105BibTex
@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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