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math.CV2025
On a higher-dimensional worm domain and its geometric properties
Steven G. Krantz, Marco M. Peloso, Caterina Stoppato
We construct new -dimensional variants of the classical Diederich-Fornaess worm domain. We show that they are smoothly bounded, pseudoconvex, and have nontrivial Nebenhülle. We…
math.CV2024
Paley--Wiener theorems on the Siegel upper half-space
Nicola Arcozzi, Alessandro Monguzzi, Marco M. Peloso +1
In this paper we study spaces of holomorphic functions on the Siegel upper half-space and prove Paley-Wiener type theorems for such spaces. The boundary of $\mathcal U…