3 papers
math.OA2025
Towards a noncommutative theory of Cowen-Douglas class of noncommuting operators
Prahllad Deb, Victor Vinnikov
The classical Cowen-Douglas class of (commuting tuples of) operators possessing an open set of (joint) eigenvalues of finite constant multiplicity was introduced by Cowen and Dougl…
math.FA2025
Homogeneous analytic Hilbert modules -- the case of non-transitive action
Shibananda Biswas, Prahllad Deb, Somnath Hazra +2
This work investigates analytic Hilbert modules , over the polynomial ring, consisting of holomorphic functions on a -space that are homogen…
math.FA2024
Deformations of complete Pick spaces
Prahllad Deb, Jonathan Nureliyan, Eli Shamovich
Motivated by the work of Pandey, Ofek, and Shalit on the one hand and deformation theory on the other, we study the Grassmannian of -dimensional multiplier-coinvariant subspaces…