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math.FA2024
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…
math.FA2024
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_…
math.OA2024
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,…