Gargi Ghosh

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20172024

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4 papers · 1 filter

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.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.FA2020

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.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

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

Multiplication operator on the Bergman space by a proper holomorphic map

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

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