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1989•Journal of Mathematical PhysicsRequires access

A Mellin transform technique for the heat kernel expansion

Adolfo P. C. Malbouisson, M. A. Rego Monteiro, F. R. A. Simão

Open publisher page 6 citations

Abstract

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.

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What this paper is about

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.

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OpenAlex reports 6 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

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.

Key concepts: Mellin transform, Heat kernel, Kernel (algebra), Integral transform, Mellin inversion theorem, Mathematics, Two-sided Laplace transform, Mathematical analysis

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