Borel summation of the small time expansion of the heat kernel with a vector potential

2013/02/04 by Thierry Hargé, Thierry Harge, Harge, Thierry
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #Spectral Theory in Mathematical Physics #Stochastic processes and financial applications #advanced mathematical theories #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1302.0604

arxiv created 2013/02/04 · openalex publication_date 2013/02/04 · arxiv updated 2013/02/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the Borel summability of the small time expansion of the heat kernel associated to a first order perturbation of a Laplacian. An explicit formula for this kernel plays a central role. As a consequence, we get a Poisson formula on the torus.

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