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The form of the spectral functions associated with a class of Sturm–Liouville equations with integrable coefficient

Published online by Cambridge University Press:  14 November 2011

B.J. Harris
B.J. Harris
Affiliation:
Department of Mathematical Sciences, Northern Illinois University, De Kalb, Illinois 60115-2888, U.S.A.
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Synopsis

We consider the second order, linear differential equation

in the case where, roughly, q ∊ L1 [0, ∞). We devise a representation for the spectral function, τ(t), associated with (*) which is valid for t sufficiently large. Our results are the best possible.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 105 , Issue 1 , 1987 , pp. 215 - 227
Copyright
Copyright © Royal Society of Edinburgh 1987

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