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math.CV2023★ 2 cited
Function Theory off the complexified unit circle: Fréchet space structure and automorphisms
Michael Heins, Annika Moucha, Oliver Roth
Motivated by recent work on strict deformation quantization of the unit disk and the Riemann sphere, we study the Fréchet space structure of the set of holomorphic functions on the…
math.CV2023★ 1 cited
Peschl-Minda derivatives and convergent Wick star products on the disk, the sphere and beyond
Michael Heins, Annika Moucha, Oliver Roth +1
We introduce and study invariant differential operators acting on the space of holomorphic functions on the complement ${Ω=\{(z,w) \in \hat{\mathbb{C}}^2 \, : \, z…