  We consider a transient Brownian motion reflected obliquely in a
two-dimensional wedge. A precise asymptotic expansion of Green's functions is
found in all directions. To this end, we first determine a kernel functional
equation connecting the Laplace transforms of the Green's functions. We then
extend the Laplace transforms analytically and study its singularities. We
obtain the asymptotics applying the saddle point method to the inverse Laplace
transform on the Riemann surface generated by the kernel.
