Borel summation of the small time expansion of SDE's driven by Gaussian white noise

We consider a stochastic differential equations driven by Gaussian White noise on R^d. Particular attention will be given to the kernel p_t, t 0 of the transition semigroup associated with the solution process. Under some assumptions on the coefficients, we prove that the small time asymptotic expansion of p_t is Borel summable. Applications will be given at the end of this work.