A Mellin transform technique for the heat kernel expansion

A Mellin transform technique for the heat kernel expansion

It is shown, for a wide class of operators, that the solution to the associated heat equation may be obtained as a series. This is accomplished using the inverse Mellin transform of the kernel of the sth power of the operator, together with the analytic properties of the kernel in the complex s plan...

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Veröffentlicht in:Journal of mathematical physics 1989-09, Vol.30 (9), p.2016-2018
Hauptverfasser: Malbouisson, A. P. C., Monteiro, M. A. R., Simão, F. R. A.
Format: Artikel
Sprache:eng
Schlagworte:
Exact sciences and technology
Function theory, analysis
Mathematical methods in physics
Physics
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Zusammenfassung:It is shown, for a wide class of operators, that the solution to the associated heat equation may be obtained as a series. This is accomplished using the inverse Mellin transform of the kernel of the sth power of the operator, together with the analytic properties of the kernel in the complex s plane.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.528595