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Spectral functions of a symmetric linear relation with a directing mapping, I

Published online by Cambridge University Press:  14 November 2011

H. Langer  and
B. Textorius
H. Langer
Affiliation:
Sektion Mathematik, Technische Universität Dresden, G.D.R.
B. Textorius
Affiliation:
Department of Mathematics, University of Linköping, Sweden
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Synopsis

For a symmetric linear relation S with a directing mapping, the notion of a spectral function is defined by means of a Bessel–Parseval inequality, and a description of all such spectral functions is given. As an application, we describe the set of all spectral functions of a canonical regular first order differential system.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 97 , 1984 , pp. 165 - 176
Copyright
Copyright © Royal Society of Edinburgh 1984

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References

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