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Contractive Hilbert modules on quotient domains
Shibananda Biswas, Gargi Ghosh, E. K. Narayanan +1
Let the complex reflection group act on the unit polydisc in A -contraction is a commuting tuple of operators on a Hilbert s…
The Agler-Young Class
Tirthankar Bhattacharyya, Subrata Shyam Roy, Tapesh Yadav
This note introduces a special class of tuples of bounded operators on a Hilbert space. It is called the Agler Young class. Major results about this class include a Wold decomposit…
Reducing sub-modules of the Bergman module under the action of the symmetric group
Shibananda Biswas, Gargi Ghosh, Gadadhar Misra +1
The weighted Bergman spaces on the polydisc, , splits into orthogonal direct sum of subspaces $\mathbb P_{\boldsymbol p}\big(\mathbb A^{(λ)}(\m…
A Note on -isometries
Shibananda Biswas, Subrata Shyam Roy
In this note we characterize the distinguished boundary of the symmetrized polydisc and thereby develop a model theory for -isometries along the lines of \cite{AY}. We further…
Dilations of Γ-contractions by solving operator equations
Tirthankar Bhattacharyya, Sourav Pal, Subrata Shyam Roy
For a contraction P and a bounded commutant S of P, we seek a solution X of the operator equation S-S*P = (I-P*P)^1/2 X(I-P*P) 1/2, where X is a bounded operator on Ran(I-P*P) 1/2…
Reproducing kernel for a class of weighted Bergman spaces on the symmetrized polydisc
Gadadhar Misra, Subrata Shyam Roy, Genkai Zhang
A natural class of weighted Bergman spaces on the symmetrized polydisc is isometrically embedded as a subspace in the corresponding weighted Bergman space on the polydisc. We find…