S. Roy

activity

20062024

most citedReproducing kernel for a class of weighted Bergman spaces on the symmetrized polydisc

1 citations · 4 across the 10 of their papers we have counts for

collaborators

10 papers

math.FA2024

Contractive Hilbert modules on quotient domains

Shibananda Biswas, Gargi Ghosh, E. K. Narayanan +1

Let the complex reflection group $G (m, p, n)$ act on the unit polydisc $D^{n}$ in $C^{n} .$ A $Θ_{n}$ -contraction is a commuting tuple of operators on a Hilbert s…

math.CV2024

Brown-Halmos type Theorems on the proper images of bounded symmetric domains

Gargi Ghosh, Subrata Shyam Roy

Let $Ω \subseteq C^{n}$ be a bounded symmetric domain and $f : Ω \to Ω^{'} \subseteq C^{n}$ be a proper holomorphic mapping which is factored by a finite complex reflecti…

math.CV2018

Reducing submodules of Hilbert Modules and Chevalley-Shephard-Todd Theorem

Shibananda Biswas, Swarnendu Datta, Gargi Ghosh +1

Let $G$ be a finite pseudoreflection group, $Ω \subseteq C^{n}$ be a bounded domain which is a $G$ -space and $H \subseteq O (Ω)$ be an analytic Hilbert module p…

math.FA2017★ 1 cited

The Agler-Young Class

Tirthankar Bhattacharyya, Subrata Shyam Roy, Tapesh Yadav

This note introduces a special class of tuples of bounded operators on a Hilbert space. It is called the Agler Young class. Major results about this class include a Wold decomposit…

math.FA2017

Reducing sub-modules of the Bergman module $A^{(λ)} (D^{n})$ under the action of the symmetric group

Shibananda Biswas, Gargi Ghosh, Gadadhar Misra +1

The weighted Bergman spaces on the polydisc, $A^{(λ)} (D^{n})$ , $λ > 0,$ splits into orthogonal direct sum of subspaces $\mathbb P_{\boldsymbol p}\big(\mathbb A^{(λ)}(\m…

math.FA2013

A Note on $Γ_{n}$ -isometries

Shibananda Biswas, Subrata Shyam Roy

In this note we characterize the distinguished boundary of the symmetrized polydisc and thereby develop a model theory for $Γ_{n}$ -isometries along the lines of \cite{AY}. We further…