Ideaux fermes d'algebres de Beurling analytiques sur le bidisque

B. Bouya, O. El-Fallah, K. Kellay

We study the closed ideal in the Beurling algebras ${\mathcal{A}}_{\alpha ,\beta }^{+}$ of holomorphic function $f$ in the bidisc such that $\sum_{n,m\geq 0}|\hat{f}(n,m)|(1+n)^α(1+m)^β<+\infty…