A deformation formula for the heat kernel

Abstract

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.

References in corpus (1)

• Borel summation of the small time expansion of the heat kernel. The scalar potential case

Cited by in corpus (2)

• Borel summation of the small time expansion of the heat kernel. The scalar potential case
• Some remarks on the complex heat kernel in the scalar potential case