5 citations · 5 across the 8 of their papers we have counts for
10 papers
Inner and characteristic functions in polydiscs
Ramlal Debnath, Deepak K. Pradhan, Jaydeb Sarkar
Characteristic functions of linear operators are analytic functions that serve as complete unitary invariants. Such functions, as long as they are built in a natural and canonical…
Pairs of inner projections and two applications
Ramlal Debnath, Deepak K. Pradhan, Jaydeb Sarkar
Orthogonal projections onto closed subspaces of of the form for inner functions on are referred to as inner projections,…
Characterizations of complex symmetric Toeplitz operators
Sudip Ranjan Bhuia, Deepak Pradhan, Jaydeb Sarkar
We present complete characterizations of Toeplitz operators that are complex symmetric. This follows as a by-product of characterizations of conjugations on Hilbert spaces. Notably…
Partially isometric Toeplitz operators on the polydisc
Deepak K. D, Deepak Pradhan, Jaydeb Sarkar
A Toeplitz operator , , is a partial isometry if and only if there exist inner functions such that and…
Submodules in polydomains and noncommutative varieties
Susmita Das, Deepak Kumar Pradhan, Jaydeb Sarkar
Tensor product of Fock spaces is analogous to the Hardy space over the unit polydisc. This plays an important role in the development of noncommutative operator theory and function…
Commutant lifting and Nevanlinna-Pick interpolation in several variables
Deepak K. D., Deepak Pradhan, Jaydeb Sarkar +1
This paper concerns a commutant lifting theorem and a Nevanlinna-Pick type interpolation result in the setting of multipliers from vector-valued Drury-Arveson space to a large clas…