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Eigenfunction expansions for a class of J-selfadjoint ordinary differential operators with boundary conditions containing the eigenvalue parameter

Published online by Cambridge University Press:  14 November 2011

Aalt Dijksma
Aalt Dijksma
Affiliation:
Mathematisch Instituut, Rijksuniversiteit, Groningen, The Netherlands
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Synopsis

In provided with a J-innerproduct we characterize the J-selfadjoint operators generated by a symmetric ordinary differential expression on an open real interval ι. For a subclass of these operators we prove eigenfunction expansion results using Hilbertspace-techniques.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 86 , Issue 1-2 , 1980 , pp. 1 - 27
Copyright
Copyright © Royal Society of Edinburgh 1980

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