Jaydeb Sarkar

activity

20052025

most citedEssentially Reductive Weighted Shift Hilbert Modules

24 citations · 58 across the 57 of their papers we have counts for

collaborators

Showing 2014Show all

5 papers · 1 filter

math.FA2014★ 4 cited

On Quotient modules of $H^{2} (D^{n})$ : Essential Normality and Boundary Representations

B. Krishna Das, Sushil Gorai, Jaydeb Sarkar

Let $D^{n}$ be the open unit polydisc in $C^{n}$ , $n \geq 1$ , and let $H^{2} (D^{n})$ be the Hardy space over $D^{n}$ . For $n \geq 3$ , we show that if $θ\in…

math.FA2014

Applications of Hilbert Module Approach to Multivariable Operator Theory

Jaydeb Sarkar

A commuting $n$ -tuple $(T_{1}, \dots, T_{n})$ of bounded linear operators on a Hilbert space $\clh$ associate a Hilbert module $H$ over $C [z_{1}, \dots, z_{n}]$ in the…

math.FA2014

Rudin's Submodules of $H^{2} (D^{2})$

B. K. Das, Jaydeb Sarkar

Let ${α_{n}}_{n \geq 0}$ be a sequence of scalars in the open unit disc of $C$ , and let ${l_{n}}_{n \geq 0}$ be a sequence of natural numbers satisfying $\sum_{n=0}^\infty (…

math.FA2014

Star-Generating Vectors of Rudin's Quotient Modules

Arup Chattopadhyay, B. Krishna Das, Jaydeb Sarkar

The purpose of this paper is to study a class of quotient modules of the Hardy module $H^{2} (D^{n})$ . Along with the two variables quotient modules introduced by W. Rudin, we introduce…

math.FA2014

Cross commutators of Rudin's submodules

Arup Chattopadhyay, B. Krishna Das, Jaydeb Sarkar

Let $b (z) = \prod_{n = 1}^{\infty} \frac{- α ˉ _{n}}{∣ α _{n} ∣} \frac{z - α _{n}}{1 - α ˉ _{n} z}$ , where $\sum_{n = 1}^{\infty} (1 - ∣ α_{n} ∣) < \infty$ , be the Blaschke product with zeros at $α_n \in…

On Quotient modules of H2(Dn): Essential Normality and Boundary Representations

Applications of Hilbert Module Approach to Multivariable Operator Theory

Rudin's Submodules of H2(D2)

Star-Generating Vectors of Rudin's Quotient Modules

Cross commutators of Rudin's submodules

On Quotient modules of $H^{2} (D^{n})$ : Essential Normality and Boundary Representations

Rudin's Submodules of $H^{2} (D^{2})$