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Compactness of Floquet isospectral sets for the matrix Hill's equation
Author(s):
Robert
Carlson
Journal:
Proc. Amer. Math. Soc.
128
(2000),
2933-2941.
MSC (2000):
Primary 34A55;
Secondary 34L40
Posted:
April 7, 2000
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Abstract:
Let  denote the set of self adjoint  potentials for the matrix Hill's equation having the same Floquet multipliers as  . Elementary methods are used to show that  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:
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
Posted:
April 7, 2000
Communicated by:
Hal L. Smith
Copyright of article:
Copyright
2000,
American Mathematical Society
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