4 citations · 6 across the 10 of their papers we have counts for
13 papers
Multivariable Wold-Type Decomposition and Analytic Models for a class of left-inverse commuting pairs
Monojit Bhattacharjee, Rajeev Gupta, Vidhya Venugopal
This work establishes a multivariable Wold-type decomposition for left-inverse commuting -tuples of bounded operators, built on the hypothesis that each component admits a Wold-…
Wold-type decomposition for Doubly commuting two-isometries
Monojit Bhattacharjee, Rajeev Gupta, Vidhya Venugopal
In this article, we prove that any pair of doubly commuting -isometries on a Hilbert space has a Wold-type decomposition. Moreover, the analytic part of the pair is unitary equi…
Dirichlet type spaces in the unit bidisc and Wandering Subspace Property for operator tuples
Monojit Bhattacharjee, Rajeev Gupta, Vidhya Venugopal
In this article, we define Dirichlet-type space over the bidisc for any measure $\boldsymbolμ\in\mathcal{P}\mathcal{M}_{+}(\mathbb T^2…
A characterization of completely alternating functions
Monojit Bhattacharjee, Rajkamal Nailwal
In this article, we characterize completely alternating functions on an abelian semigroup in terms of completely monotone functions on the product semigroup $S\times \mathbb Z_…
Isometric Dilations for Representations of Product Systems
Sibaprasad Barik, M. Bhattacharjee, B. Solel
We discuss representations of product systems (of -correspondences) over the semigroup and show that, under certain pureness and Szego positivity conditions,…
$\clw$-hypercontractions and their model
Monojit Bhattacharjee, B. Krishna Das, Ramlal Debnath +1
We revisit the study of -hypercontractions corresponding to a single weight sequence introduced by Olofsson in \cite{O} and find an analogue of Nagy-Foias c…