Nonformal deformations of the algebras of holomorphic functions on the polydisk and on the ball in ${\mathbb{C}}^n$

Alexei Yu. Pirkovskii

We construct Fréchet $\mathcal{O}({\mathbb{C}}^{\times })$-algebras ${\mathcal{O}}_{\mathrm{def}}({\mathbb{D}}^n)$ and ${\mathcal{O}}_{\mathrm{def}}({\mathbb{B}}^n)$ which may be interpreted as nonfo…