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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…
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…
A Family of Homogeneous Operators In The Cowen-Douglas Class Over The Poly-disc
Prahllad Deb, Somnath Hazra
We construct a large family of positive-definite kernels $K: \mathbb{D}^n\times \mathbb{D}^n \to \mbox{M} (r, \mathbb C)$, holomorphic in the first variable and anti-holomorphic in…
Homogeneous Hermitian Holomorphic Vector Bundles And Operators In The Cowen-Douglas Class Over The Poly-disc
Prahllad Deb, Somnath Hazra
In this article, we obtain two sets of results. The first set of complete results are exclusively for the case of the bi-disc while the second set of results describe in part, whic…
On unitary invariants of quotient Hilbert modules along smooth complex analytic sets
Prahllad Deb
Let be an open, connected and bounded set and be a function algebra of holomorphic functions on . In this article we study quotient Hilb…