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arXiv · 2303.15785

On Local Heat Kernel

A. V. Ivanov
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Abstract

The paper is devoted to a local heat kernel, which is a special part of the standard heat kernel. Locality means that all considerations are produced in an open convex set of a smooth Riemannian manifold. We study such properties and concepts as uniqueness, a symmetry of the Seeley-DeWitt coefficients, extension on the whole manifold, a family of special functions, and the late-time asymptotics with the use of the path integral formulation.

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A. V. Ivanov. 2023-03-28. On Local Heat Kernel. https://arxiv.org/abs/2303.15785

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