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Dirichlet and Neumann heat invariants for Euclidean balls

✍ Scribed by Michael Levitin

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
710 KB
Volume
8
Category
Article
ISSN
0926-2245

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✦ Synopsis

Using the theory of heat invariants we present an efficient and economical method of obtaining the higher coefficients of the asymptotic expansion of the trace of the heat semigroup for the Dirichlet and (generalized) Neumann Laplacians acting on an m-dimensional ball. The results are presented in the form ol explicit formulae for the first IO coefficients as functions of m.

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