Smeared heat-kernel coefficients on the ball and generalized cone
J. S. Dowker, Klaus Kirsten
Abstract
We consider smeared zeta functions and heat-kernel coefficients on the bounded, generalized cone in arbitrary dimensions. The specific case of a ball is analysed in detail and used to restrict the form of the heat-kernel coefficients An on smooth manifolds with boundary. Supplemented by conformal transformation techniques, it is used to provide an effective scheme for the calculation of the An. As an application, the complete A5/2 coefficient is given.
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