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Sturm-Liouville operators with an indefinite weight function

Published online by Cambridge University Press:  14 February 2012

K. Daho  and
H. Langer
K. Daho
Affiliation:
Department of Mathematics, Uppsala University, Sweden
H. Langer
Affiliation:
Sektion Mathematik, Technische Universität, Dresden, G.D.R.
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Synopsis

Spectral properties of the singular Sturm-Liouville equation –(p−1y′)′ + qy = λry with an indefinite weight function r are studied in . The main tool is the theory of definitisable operators in spaces with an indefinite scalar product.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 78 , Issue 1-2 , 1977 , pp. 161 - 191
Copyright
Copyright © Royal Society of Edinburgh 1977

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