Heat Kernel Asymptotics on Symmetric Spaces

Mathematics – Differential Geometry

Scientific paper

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20 pages, Proceedings of the Conference "Midwest Geometry Conference 2006", University of Oklahoma, Norman, OK, May 5-7, 2006;

Scientific paper

We develop a new method for the calculation of the heat trace asymptotics of
the Laplacian on symmetric spaces that is based on a representation of the heat
semigroup in form of an average over the Lie group of isometries and obtain a
generating function for the whole sequence of all heat invariants.

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