S. Sarkar

activity

20122023

collaborators

4 papers

math.FA2023

Vector valued de Branges spaces of entire functions based on pairs of Fredholm operator valued functions and functional model

Subhankar Mahapatra, Santanu Sarkar

In this paper, we have considered vector valued reproducing kernel Hilbert spaces (RKHS) $H$ of entire functions associated with operator valued kernel functions. de Bran…

math.FA2015

Properties of singular integral operators $S_{α, β}$

Amit Samanta, Santanu Sarkar

For $α, β \in L^{\infty} (S^{1}),$ the singular integral operator $S_{α, β}$ on $L^{2} (S^{1})$ is defined by $S_{α, β} f := α P f + β Q f$ , where $P$ denotes the orthogonal projection of $L^2(S^1)…

math.FA2013

Maximal contractive tuples

B. Krishna Das, Jaydeb Sarkar, Santanu Sarkar

Maximality of a contractive tuple of operators is considered. Characterization of a contractive tuple to be maximal is obtained. Notion of maximality of a submodule of Drury-Arveso…

math.FA2012

The Defect Sequence for Contractive Tuples

Tirthankar Bhattacharyya, Bata Krishna Das, Santanu Sarkar

We introduce the defect sequence for a contractive tuple of Hilbert space operators and investigate its properties. The defect sequence is a sequence of numbers, called defect dime…

Vector valued de Branges spaces of entire functions based on pairs of Fredholm operator valued functions and functional model

Properties of singular integral operators Sα,β​

Maximal contractive tuples

The Defect Sequence for Contractive Tuples

Properties of singular integral operators $S_{α, β}$