= Analytic Wiener algebra
{title2=$A^+(\mathbb T)$}
The analytic Wiener algebra consists of the <power series> $f(z)=\sum_{n\geq0}a_nz^n$ with $\sum_{n\geq0}|a_n|<\infty$, identified with their values on the <unit circle>. The <norm> is $\|f\|=\sum|a_n|$. <Discrete convolution> gives multiplication and a submultiplicative <norm>; completeness follows from the <absolutely summable sequence space>. Each series converges uniformly on the closed <unit disk> and is <holomorphic> in its interior.
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