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3.—Uniqueness of Sturm-Liouville Coefficients*

Published online by Cambridge University Press:  14 February 2012

S. D. Wray
S. D. Wray
Affiliation:
Department of Mathematics, University of the Witwatersrand, Johannesburg, South Africa.
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Synopsis

An analogue of the Riemannian theory of uniqueness of Fourier coefficients is developed for Sturm Liouville series, using asymptotic formulae for the eigenfunctions and other quantities. This theory generalises earlier work by Haar in that the coefficient function in the differential equation is only assumed to be integrable.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 73 , 1975 , pp. 65 - 75
Copyright
Copyright © Royal Society of Edinburgh 1975

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References

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