7 papers · 1 filter
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…
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…
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…