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Spectral asymptotics with a remainder estimate for Schrödinger operators with slowly growing potentials

Published online by Cambridge University Press:  14 November 2011

S. Z. Levendorskiĭ
S. Z. Levendorskiĭ
Affiliation:
Rostov-on-Don Institute of National Economy, B. Sadovaya, 69, 344007 Rostov-on-Don, Russia
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Abstract

We compute the principal term of the asymptotics with a remainder estimate for Schrödinger operators with slowly growing potentials q, a typical example being q(x) = In … In |x| outside some compact.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 126 , Issue 4 , 1996 , pp. 829 - 836
Copyright
Copyright © Royal Society of Edinburgh 1996

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