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The form of the spectral functions associated with Sturm-Liouville problems with continuous spectrum

Part of: Boundary value problems

Published online by Cambridge University Press:  26 February 2010

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

We consider the spectral function, ρα(μ), for –∞<μ<∞ associated with the Sturm-Liouville equation

and the boundary condition

We suppose that q is a real-valued member of L1[0, ∞) and λ is a real parameter.

MSC classification

Secondary: 34B24: Sturm-Liouville theory
Type
Research Article
Information
Mathematika , Volume 44 , Issue 1 , June 1997 , pp. 149 - 161
Copyright
Copyright © University College London 1997

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