32 citations · 122 across the 34 of their papers we have counts for
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Kernels with complete Nevanlinna-Pick factors and the characteristic function
Tirthankar Bhattacharyya, Abhay Jindal
The Sz.-Nagy Foias characteristic function for a contraction has had a rejuvenation in recent times due to a number of authors. Such a classical object relates to an object of very…
Doubly commuting and dual doubly commuting semigroups of isometries
Tirthankar Bhattacharyya, Shubham Rastogi, Vijaya Kumar U
Structures of commuting semigroups of isometries under certain additional assumptions like double commutativity or dual double commutativity are found.
On factorization of the shift semigroup
Tirthankar Bhattacharyya, Shubham Rastogi, Kalyan B. Sinha +1
Let $\E$ be a finite dimensional Hilbert space. This note finds all factorizations of the right shift semigroup $§^\E=(S_t^\E)_{t\ge 0}$ on $L^2(\R_+,\E)$ into the product of c…
Toeplitz operators and Hilbert modules on the symmetrized polydisc
Tirthankar Bhattacharyya, B. Krishna Das, Haripada Sau
When is the collection of -Toeplitz operators with respect to a tuple of commuting bounded operators , which has the symmetri…
A note on the dilation of a certain family of tetrablock contractions
Tirthankar Bhattacharyya, Mainak Bhowmik
We find an explicit tetrablock isometric dilation for every member of a family of tetrablock contractions indexed by a parameter in the closed unit disc (only the…
Complete Nevanlinna-Pick kernels And The Characteristic Function
Tirthankar Bhattacharyya, Abhay Jindal
This note finds a new characterization of complete Nevanlinna-Pick kernels on the Euclidean unit ball. The classical theory of Sz.-Nagy and Foias about the characteristic function…