  This paper deals with the Bezout equation $G(s)X(s)=I_m$, $\Re s \geq 0$, in
the Wiener space of analytic matrix-valued functions on the right half plane.
In particular, $G$ is an $m\times p$ matrix-valued analytic Wiener function,
where $p\geq m$, and the solution $X$ is required to be an analytic Wiener
function of size $p\times m$. The set of all solutions is described explicitly
in terms of a $p\times p$ matrix-valued analytic Wiener function $Y$, which has
an inverse in the analytic Wiener space, and an associated inner function
$\Theta$ defined by $Y$ and the value of $G$ at infinity. Among the solutions,
one is identified that minimizes the $H^2$-norm. A Wiener space version of
Tolokonnikov's lemma plays an important role in the proofs. The results
presented are natural analogs of those obtained for the discrete case in [11].
