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ON THE HIGH-ENERGY ASYMPTOTICS OF THE INTEGRATED DENSITY OF STATES

Published online by Cambridge University Press:  08 October 2003

E. KOROTYAEV  and
A. PUSHNITSKI
E. KOROTYAEV
Affiliation:
Institut für Mathematik, Humboldt-Universität zu Berlin, Rudower Chaussee 25, 12489 Berlin, Germanyek@mathematik.hu-berlin.de
A. PUSHNITSKI
Affiliation:
Department of Mathematical Sciences, Loughborough University, Loughborough, LE11 3TU a.b.pushnitski@lboro.ac.uk
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Abstract

Assuming that the integrated density of states of a Schrödinger operator admits a high-energy asymptotic expansion, the authors give explicit formulae for the coefficients of this expansion in terms of the heat invariants.

Keywords

35J1047F0535P20
Type
Notes and Papers
Information
Bulletin of the London Mathematical Society , Volume 35 , Issue 6 , November 2003 , pp. 770 - 776
Copyright
© The London Mathematical Society 2003

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