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- W3102760143 endingPage "916" @default.
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- W3102760143 abstract "We present a very quick and powerful method for the calculation of heat kernel coefficients. It makes use of rather common ideas, as integral representations of the spectral sum, Mellin transforms, non-trivial commutation of series and integrals and skillful analytic continuation of zeta functions on the complex plane. We apply our method to the case of the heat kernel expansion of the Laplace operator on a D-dimensional ball with either Dirichlet, Neumann or, in general, Robin boundary conditions. The final formulas are quite simple. Using this case as an example, we illustrate in detail our scheme —which serves for the calculation of an (in principle) arbitrary number of heat kernel coefficients in any situation when the basis functions are known. We provide a complete list of new results for the coefficients B3,..., B10, corresponding to the D-dimensional ball with all the mentioned boundary conditions and D=3,4,5." @default.
- W3102760143 created "2020-11-23" @default.
- W3102760143 creator A5004799712 @default.
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- W3102760143 date "1996-02-01" @default.
- W3102760143 modified "2023-10-09" @default.
- W3102760143 title "Heat kernel coefficients of the Laplace operator on the <i>D</i>-dimensional ball" @default.
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- W3102760143 doi "https://doi.org/10.1063/1.531418" @default.
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