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VII.—On the Spectrum of Ordinary Second Order Differential Operators.*

Published online by Cambridge University Press:  14 February 2012

Jyoti Chaudhuri  and
W. N. Everitt
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Synopsis

This paper considers properties of the spectrum of differential operators derived from differential expressions of the second order. The object is to link the spectral properties of these differential operators with the analytic, function-theoretic properties of the solutions of the differential equation. This provides an alternative approach to the spectral theory of these differential operators but one which is consistent with the standard definitions used in Hilbert space theory. In this way the approach may be of interest to applied mathematicians and theoretical physicists.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 68 , Issue 2 , 1969 , pp. 95 - 119
Copyright
Copyright © Royal Society of Edinburgh 1969

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References

References to Literature

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