Beurling algebra analogues of the classical theorems of Wiener and Levy on absolutely convergent Fourier series

S. J. Bhatt, H. V. Dedania

Let $f$ be a continuous function on the unit circle $\Gamma$, whose Fourier series is $\omega$-absolutely convergent for some weight $\omega$ on the set of integers $\mathcal{Z}$. If $f$ is nowhe…