A. Chattopadhyay

activity

20122025

most citedSecond order trace formulae

3 citations · 4 across the 24 of their papers we have counts for

collaborators

Showing 2014Show all

3 papers · 1 filter

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

Trace Formula For Two Variables

Arup Chattopadhyay, Kalyan B. Sinha

A natural generalization of Krein's theorem to a pair of commuting tuples $(H_{1}^{0}, H_{2}^{0})$ and $(H_{1}, H_{2})$ of bounded self-adjoint operators in a separable Hil…

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…