Cameron-Martin theorem for a linear drift
= Cameron-Martin theorem for a linear drift
{c}
For the <Cameron-Martin space of Wiener measure> path $h(s)=\mu s$, the <Cameron-Martin theorem> says that translation of <Brownian motion> by this <linear function> changes its law through time $t$ by the density
$$
\exp\!\left(\mu W_t-\frac12\mu^2t\right).
$$