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

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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Source https://hal.science/hal-00784186
Author Harge, Thierry
Maintainer CCSD
Last Updated May 14, 2026, 17:45 (UTC)
Created May 14, 2026, 17:45 (UTC)
Identifier hal-00784186
Language en
Rights https://about.hal.science/hal-authorisation-v1/
contributor Analyse, Géométrie et Modélisation (AGM - UMR 8088) ; Centre National de la Recherche Scientifique (CNRS)-CY Cergy Paris Université (CY)
creator Harge, Thierry
date 2012-01-22T00:00:00
harvest_object_id 2d3c9382-515f-4cd0-856e-1e1abeec97ca
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2024-05-02T00:00:00
relation info:eu-repo/semantics/altIdentifier/arxiv/1302.0604
set_spec type:UNDEFINED