A deformation formula for the heat kernel

Let us consider a time-dependent differential operator quadratic with respect to the phase variables. Let us consider a multiplication operator defined with the help of a "small" matrix-valued function. Under suitable conditions, we give an "explicit" expression of "the" heat kernel associated to the sum of the two previous operators for small time.

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Source https://hal.science/hal-00786041
Author Harge, Thierry
Maintainer CCSD
Last Updated May 14, 2026, 15:10 (UTC)
Created May 14, 2026, 15:10 (UTC)
Identifier hal-00786041
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 2013-01-23T00:00:00
harvest_object_id b6271ed5-9448-45a2-9870-9dcf1655280a
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2024-05-03T00:00:00
relation info:eu-repo/semantics/altIdentifier/arxiv/1302.1810
set_spec type:UNDEFINED