4 datasets found

We study the Borel summability of the small time expansion of the heat kernel for the Schrödinger operator in several dimensions. On the torus, we prove a Poisson...

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...

We prove that the partition function associated to a perturbation of the semi-classical harmonic oscillator is the Borel sum of its semi-classical expansion.

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