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Bloch waves and multiparameter spectral theory

Published online by Cambridge University Press:  14 November 2011

B. P. Rynne  and
B. D. Sleeman
B. P. Rynne
Affiliation:
Department of Mathematical Sciences, University of Dundee
B. D. Sleeman
Affiliation:
Department of Mathematical Sciences, University of Dundee
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Synopsis

We study the spectral theory of a multiparameter system of periodic Schrödinger operators. Bloch waves are generalized eigenfunctions of these operators and are used to give eigenfunction expansion theorems and to derive some properties of the spectrum of the system.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 95 , Issue 1-2 , 1983 , pp. 73 - 93
Copyright
Copyright © Royal Society of Edinburgh 1983

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