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math.CV2022
On the dimension of bundle-valued Bergman spaces on compact Riemann surfaces
Anne-Katrin Gallagher, Purvi Gupta, Liz Vivas
Given a holomorphic vector bundle over a compact Riemann surface , and an open set in , we prove that the Bergman space of holomorphic sections of the restriction of…
math.PR2022
Volume Approximation of Strongly -Convex Domains by Random Polyhedra
Siva Athreya, Purvi Gupta, D. Yogeshwaran
Polyhedral-type approximations of convex-like domains in have been considered recently by the second author. In particular, the decay rate of the error in optimal vo…
math.CV2022
Constructing Group-Invariant CR Mappings
Jennifer Brooks, Sean Curry, Dusty Grundmeier +4
We construct CR mappings between spheres that are invariant under actions of finite unitary groups. In particular, we combine a tensoring procedure with D'Angelo's construction of…