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Spectral asymptotics on stationary space-times

Alexander Strohmaier

School of Mathematics, University of Leeds, Leeds, LS2 9JT, UK

E-mail Address: a.strohmaier@leeds.ac.uk

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and

Steve Zelditch

Department of Mathematics, Northwestern University, Evanston, IL 60208-2370, USA

E-mail Address: zelditch@math.northwestern.edu

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https://doi.org/10.1142/S0129055X20600077Cited by:4 (Source: Crossref)

This article is part of the issue:

Special Issue on Mathematical Results in Quantum Mechanics

Abstract

We review our recent relativistic generalization of the Gutzwiller–Duistermaat–Guillemin trace formula and Weyl law on globally hyperbolic stationary space-times with compact Cauchy hypersurfaces. We also discuss anticipated generalizations to non-compact Cauchy hypersurface cases.

Keywords:

AMSC: 83C30, 35P20

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