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Proceedings of the Royal Society of Edinburgh: Section A Mathematics (2003), 133 : 333-361 Cambridge University Press
doi:10.1017/S0308210500002420
Published online by Cambridge University Press 12 Jul 2007
 
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Proceedings of the Royal Society of Edinburgh: Section A Mathematics (2003), 133:333-361 Royal Society of Edinburgh Scotland Foundation
Copyright © Royal Society of Edinburgh 2003
doi:10.1017/S0308210500002420

Research Article

Heat asymptotics with spectral boundary conditions. II

Peter Gilkeya1 and Klaus Kirstena2

a1 Mathematics Department, University of Oregon, Eugene, OR 97403, USA (gilkey@darkwing.uoregon.edu)
a2 Max-Planck-Institute for Mathematics in the Sciences, Inselstrasse 22-26, 04103 Leipzig, Germany; and Department of Mathematics, Baylor University, Waco, TX 76798, USA (Klaus_Kirsten@baylor.edu)
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Abstract

Let P be an operator of Dirac type on a compact Riemannian manifold with smooth boundary. We impose spectral boundary conditions and study the asymptotics of the heat trace of the associated operator of Laplace type.

(Received November 29 2001)

(Accepted July 04 2002)

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