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This paper deals with the Bezout equation $G(s)X(s)=I_m$, $\Re s \geq 0$, inthe 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 Wienerfunction of size $p\times m$. The set of all solutions is described explicitlyin terms of a $p\times p$ matrix-valued analytic Wiener function $Y$, which hasan 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 ofTolokonnikov's lemma plays an important role in the proofs. The resultspresented are natural analogs of those obtained for the discrete case in [11].

The Bezout equation on the right half plane in a Wiener space setting