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Discreteness of the singular spectrum for Schrödinger operators

Published online by Cambridge University Press:  24 October 2008

Martin Schechter
Martin Schechter
Affiliation:
Belfer Graduate School, Yeshiva University, New York
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Abstract

Under assumptions (1·1)–(1·3) given below, we prove discreteness of the positive singular spectrum of the forms realization of the operator – Δ + V. The limiting absorption principle is also proved.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 80 , Issue 1 , July 1976 , pp. 121 - 133
Copyright
Copyright © Cambridge Philosophical Society 1976

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References

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