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On Local Heat Kernel

Published 28 Mar 2023 in math-ph, hep-th, math.DG, and math.MP | (2303.15785v1)

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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