Ramlal Debnath

activity

20172026

most citedOn certain commuting isometries, joint invariant subspaces and C*-algebras

1 citations · 1 across the 7 of their papers we have counts for

collaborators

9 papers

math.CV2026

Dirichlet symbols and the nonlinear wave equation

Ramlal Debnath, Haakan Hedenmalm

We study the operator symbols of Dirichlet type introduced by Hedenmalm and Shimorin (2020), in connection with a given contraction on $L^{2}$ of the unit disk. They are always holom…

math.FA2025

Inner and characteristic functions in polydiscs

Ramlal Debnath, Deepak K. Pradhan, Jaydeb Sarkar

Characteristic functions of linear operators are analytic functions that serve as complete unitary invariants. Such functions, as long as they are built in a natural and canonical…

math.FA2024

Two problems on submodules of $H^{2} (D^{n})$

Ramlal Debnath, Srijan Sarkar

Given any shift-invariant closed subspace $S$ (aka submodule) of the Hardy space over the unit polydisc $H^{2} (D^{n})$ (where $n \geq 2$ ), let $R_{z_j}:=M_{z_j}|_{\m…

math.FA2023

Pairs of inner projections and two applications

Ramlal Debnath, Deepak K. Pradhan, Jaydeb Sarkar

Orthogonal projections onto closed subspaces of $H^{2} (D^{n})$ of the form $φ H^{2} (D^{n})$ for inner functions $φ$ on $D^{n}$ are referred to as inner projections,…

math.FA2022

$\clw$-hypercontractions and their model

Monojit Bhattacharjee, B. Krishna Das, Ramlal Debnath +1

We revisit the study of $ω$ -hypercontractions corresponding to a single weight sequence $ω = {ω_{k}}_{k \geq 0}$ introduced by Olofsson in \cite{O} and find an analogue of Nagy-Foias c…

math.FA2021

Beurling quotient modules on the polydisc

Monojit Bhattacharjee, B. Krishna Das, Ramlal Debnath +1

Let $H^{2} (D^{n})$ denote the Hardy space over the polydisc $D^{n}$ , $n \geq 2$ . A closed subspace $Q \subseteq H^{2} (D^{n})$ is called Beurling quotient…

math.FA2020

Schur functions and inner functions on the bidisc

Ramlal Debnath, Jaydeb Sarkar

We study representations of inner functions on the bidisc from a fractional linear transformation point of view, and provide sufficient conditions, in terms of colligation matrices…

math.FA2019

Factorizations of Schur functions

Ramlal Debnath, Jaydeb Sarkar

The Schur class, denoted by $S (D)$ , is the set of all functions analytic and bounded by one in modulus in the open unit disc $D$ in the complex plane $\…

math.FA2017★ 1 cited

On certain commuting isometries, joint invariant subspaces and C*-algebras

B. Krishna Das, Ramlal Debnath, Jaydeb Sarkar

In this paper, motivated by the Berger, Coburn and Lebow and Bercovici, Douglas and Foias theory for tuples of commuting isometries, we study analytic representations and joint inv…