2 papers
math.CV2023
Direct Images and Hilbert Fields
Pranav Upadrashta
In this article we undertake a careful study of the curvature operator of a field of Bergman spaces associated to a holomorphic fibration of Kähler manifolds. We focus on the case…
math.CV2018
Fourier Representations in Bergman Spaces
Debraj Chakrabarti, Pranav Upadrashta
We consider a class of domains, generalizing the upper half-plane, and admitting rotational, translational and scaling symmetries, analogous to the half-plane. We prove Paley-Wiene…