On zero sets in Fock spaces
We prove that zero sets for distinct Fock spaces are not the same, this is an answer of a question asked by K. Zhu in \cite[Page. 209]{Zhu}.
math.CV↗
arXiv subjects
B. Bouya
Publications and source records attributed to B. Bouya.
Ideaux fermes d'algebres de Beurling analytiques sur le bidisque
We 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.
math.CV↗