Ramlal Debnath

activity

20192022

collaborators

3 papers

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.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 $\…