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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Compactness of Floquet isospectral sets for the matrix Hill's equation


Author: Robert Carlson
Journal: Proc. Amer. Math. Soc. 128 (2000), 2933-2941
MSC (2000): Primary 34A55; Secondary 34L40
Published electronically: April 7, 2000
MathSciNet review: 1709743
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Abstract:

Let $\mathcal{M}(Q)$ denote the set of self adjoint $K \times K$ potentials for the matrix Hill's equation having the same Floquet multipliers as $-D^2 + Q$. Elementary methods are used to show that $\mathcal{M}(Q)$ has compact closure in the space of continuous matrix valued functions.


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Additional Information

Robert Carlson
Affiliation: Department of Mathematics, University of Colorado at Colorado Springs, Colorado Springs, Colorado 80933
Email: carlson@castle.uccs.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-00-05634-3
PII: S 0002-9939(00)05634-3
Keywords: Hill's equation, inverse spectral theory, KdV
Received by editor(s): November 10, 1998
Published electronically: April 7, 2000
Communicated by: Hal L. Smith
Article copyright: © Copyright 2000 American Mathematical Society



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