Quasi-Invariance for Infinite-Dimensional Kolmogorov Diffusions

We prove Cameron-Martin type quasi-invariance results for the heat kernel measure of infinite-dimensional Kolmogorov and related diffusions. first study quantitative functional inequalities appropriate finite-dimensional approximations these diffusions, we hold with dimension-independent coefficients. Applying an approach developed by Baudoin, Driver, Gordina, Melcher previously, uniform bounds may then be used to that certain diffusions is quasi-invariant under changes initial state.