= Character space of the analytic Wiener algebra
{title2=$\Phi_{A^+(\mathbb T)}\cong\overline{\mathbb D}$}
Every <algebra character> of the <analytic Wiener algebra> is evaluation at a unique point $z$ of the closed <unit disk>. Indeed, for $u(w)=w$, continuity and multiplicativity give $z=\phi(u)$, $|z|\leq\|u\|=1$ and $\phi(f)=\sum_{n\geq0}a_nz^n$. Conversely, this formula defines a continuous <algebra character> for every such $z$. The evaluation correspondence is a <homeomorphism> for the <Gelfand topology>, since the <power series> are uniformly convergent on the closed <unit disk>.
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