Work

On Local Heat Kernel

Year: 2023

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2303.15785

Author: Ivanov, A. V.

Institutions: Russian Academy of Sciences, St. Petersburg Department of Steklov Institute of Mathematics, Steklov Mathematical Institute

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Ministry of Science and Higher Education of the Russian Federation, Foundation for the Advancement of Theoretical Physics and Mathematics

Awards: G597338630, G6444257319, G92726623

OpenAlex ID: W4361230923

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