2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/154314We study the closed ideal in the Beurling algebras $\mathcal{A}^{+}_{α,β}$ of holomorphic function $f$ in the bidisc such that $\sum_{n,m\geq 0}|\hat{f}(n,m)|(1+n)^α(1+m)^β<+\infty$. We determine the function $f\in\mathcal{A}^{+}_{α,β}$ such that the ideals generated by $f$ coincide with the ideal generated by their zeros set.17 pagesComplex VariablesFunctional Analysistext