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A counterexample in Sturm–Liouville completeness theory

Published online by Cambridge University Press:  12 July 2007

Paul Binding  and
Branko Ćurgus
Paul Binding
Affiliation:
Department of Mathematics and Statistics, University of Calgary, Calgary, Alberta T2N 1N4, Canada (binding@ucalgary.ca)
Branko Ćurgus
Affiliation:
Department of Mathematics, Western Washington University, Bellingham, WA 98226, USA (curgus@cc.wwu.edu)
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Abstract

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We give an example of an indefinite weight Sturm-Liouville problem whose eigenfunctions form a Riesz basis under Dirichlet boundary conditions but not under anti-periodic boundary conditions.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 134 , Issue 2 , April 2004 , pp. 241 - 248
Copyright
Copyright © Royal Society of Edinburgh 2004