S. Sarkar

collaborators

2 papers

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.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…

Properties of singular integral operators Sα,β​

The Defect Sequence for Contractive Tuples

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