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The spectrum of a one-dimensional pseudo-differential operator

Published online by Cambridge University Press:  24 October 2008

M. W. Wong
M. W. Wong
Affiliation:
Department of Mathematics, York University, Ontario, CanadaM3J 1P3
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Abstract

We describe the spectrum of a self-adjoint pseudo-differential operator on L2 (– ∞, ∞). We show that the essential spectrum coincides with the interval ([1, ∞) and give a lower bound for the lowest eigenvalue in (– ∞, 1). A sufficient condition for the existence of an eigenvalue in (– ∞, 1) is also given.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 104 , Issue 3 , November 1988 , pp. 575 - 580
Copyright
Copyright © Cambridge Philosophical Society 1988

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References

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