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The spectrum of a one-dimensional pseudo-differential operator
Published online by Cambridge University Press: 24 October 2008
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