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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
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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