A TRANSFORMATION OF THE PHASE SPACE OF A DIFFUSION PROCESS THAT REMOVES THE DRIFT

In this paper we construct a one-to-one (and quasi-isometric) transformation of a phase space that allows us to pass from a diffusion process with nonzero drift coefficient to a process without drift. Using this transformation we construct strong solutions of stochastic differential equations with a "bad" drift coefficient and give other applications. Bibliography: 21 items.