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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



Spectral properties of a certain class of complex potentials

Authors: V. Guillemin and A. Uribe
Journal: Trans. Amer. Math. Soc. 279 (1983), 759-771
MSC: Primary 58G25; Secondary 35P99
MathSciNet review: 709582
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Abstract: In this paper we discuss spectral properties of the Schroedinger operator $ - \Delta + q$ on compact homogeneous spaces for certain complex valued potentials $ q$. We show, for instance, that for these potentials the spectrum of $ - \Delta + q$ is identical with the spectrum of $ - \Delta $.

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Article copyright: © Copyright 1983 American Mathematical Society