1 citations · 1 across the 10 of their papers we have counts for
11 papers
Möb Homogeneous Analytic Hilbert Modules over the Bidisc
Jyotirmay Das, Somnath Hazra
An analytic Hilbert module over the polynomial ring, consisting of holomorphic functions over the bidisc, is said to be Möb-homogeneous if the corresponding pair of m…
Complete Nevanlinna-Pick property of -Invariant Reproducing Kernels
Miroslav Engliš, Somnath Hazra, Paramita Pramanick
Let be a Cartan domain and be a -invariant kernel on . In this article, we first obtain a necessary cond…
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…
Representations of the Möbius group and pairs of homogeneous operators in the Cowen-Douglas class
Jyotirmay Das, Somnath Hazra
Let Möb be the biholomorphic automorphism group of the unit disc of the complex plane, be a complex separable Hilbert space and be the grou…
Penalizing Proposals using Classifiers for Semi-Supervised Object Detection
Somnath Hazra, Pallab Dasgupta
Obtaining gold standard annotated data for object detection is often costly, involving human-level effort. Semi-supervised object detection algorithms solve the problem with a smal…
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…
On analytic structure of weighted shifts on generalized directed semi-trees
Gargi Ghosh, Somnath Hazra
Inspired by natural classes of examples, we define generalized directed semi-tree and construct weighted shifts on the generalized directed semi-trees. Given an -tuple of direct…
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…
Semi-Lexical Languages -- A Formal Basis for Unifying Machine Learning and Symbolic Reasoning in Computer Vision
Briti Gangopadhyay, Somnath Hazra, Pallab Dasgupta
Human vision is able to compensate imperfections in sensory inputs from the real world by reasoning based on prior knowledge about the world. Machine learning has had a significant…
A product formula for homogeneous characteristic functions
Bhaskar Bagchi, Somnath Hazra, Gadadhar Misra
A bounded linear operator on a Hilbert space is said to be homogeneous if is unitarily equivalent to for all in the group Möb of bi-holomorphic automorphisms of…
Homogeneous -shifts
Somnath Hazra
The classification of homogeneous scalar weighted shifts is known. Recently, Korányi obtained a large class of inequivalent irreducible homogeneous bi-lateral -by- block shif…