Gargi Ghosh

activity

20172024

most citedToeplitz operators on the weighted Bergman spaces of quotient domains

5 citations · 12 across the 12 of their papers we have counts for

collaborators

12 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

Holomorphic retracts in the Lie ball and the tetrablock

Gargi Ghosh, Włodzimierz Zwonek

In this article, we study various properties of holomorphic retracts in Lempert domains. We associate the existence and the related form of holomorphic retracts with the linear one…

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.CV2023★ 2 cited

$2$ -proper holomorphic images of classical Cartan domains

Gargi Ghosh, Włodzimierz Zwonek

Motivated by the way two special domains, namely the symmetrized bidisc and the tetrablock, could be defined as the images of $2$ -proper holomorphic images of classical Cartan doma…

math.CV2022

Toeplitz operators on the Hardy spaces of quotient domains

Gargi Ghosh

Let $Ω$ be either the unit polydisc $D^{d}$ or the unit ball $B_{d}$ in $C^{d}$ and $G$ be a finite pseudoreflection group which acts on $Ω.$ Associated to each o…

math.CV2022★ 5 cited

Toeplitz operators on the weighted Bergman spaces of quotient domains

Gargi Ghosh, E. K. Narayanan

Let $G$ be a finite pseudoreflection group and $Ω \subseteq C^{d}$ be a bounded domain which is a $G$ -space. We establish identities involving Toeplitz operators on the weight…

math.FA2022

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 $n$ -tuple of direct…

math.GM2021

On the spectra of Commuting Graphs

Gargi Ghosh, Samiron Parui

We describe the complete spectra of Laplacian, signless Laplacian, and adjacency matrices associated with the commuting graphs of a finite group using group theoretic information.…

math.FA2021★ 4 cited

The weighted Bergman spaces and complex reflection groups

Gargi Ghosh

We consider a bounded domain $Ω \subseteq C^{d}$ which is a $G$ -space for a finite complex reflection group $G$ . For each one-dimensional representation of the group $G,$ the…

math.FA2020★ 1 cited

Multiplication operator on the Bergman space by a proper holomorphic map

Gargi Ghosh

Suppose that $f := (f_{1}, \dots, f_{d}) : Ω_{1} \to Ω_{2}$ is a proper holomorphic map between two bounded domains in $C^{d} .$ In this paper, we find a non-trivial minimal joint reducing…

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

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…

Contractive Hilbert modules on quotient domains

Holomorphic retracts in the Lie ball and the tetrablock

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

2-proper holomorphic images of classical Cartan domains

Toeplitz operators on the Hardy spaces of quotient domains

Toeplitz operators on the weighted Bergman spaces of quotient domains

On analytic structure of weighted shifts on generalized directed semi-trees

On the spectra of Commuting Graphs

The weighted Bergman spaces and complex reflection groups

Multiplication operator on the Bergman space by a proper holomorphic map

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

Reducing sub-modules of the Bergman module A(λ)(Dn) under the action of the symmetric group

$2$ -proper holomorphic images of classical Cartan domains

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