Shibananda Biswas

activity

20102024

collaborators

4 papers

math.FA2024

Contractive Hilbert modules on quotient domains

Shibananda Biswas, Gargi Ghosh, E. K. Narayanan +1

Let the complex reflection group $G (m, p, n)$ act on the unit polydisc $D^{n}$ in $C^{n} .$ A $Θ_{n}$ -contraction is a commuting tuple of operators on a Hilbert s…

math.FA2022

On irreducibility of a certain class of homogeneous operators obtained from quotient modules

Shibananda Biswas, Prahllad Deb, Subrata Shyam Roy

Let $Ω \subset C^{m}$ be an open, connected and bounded set and $A (Ω)$ be a function algebra of holomorphic functions on $Ω$ . Suppose that $M_{q}$ is the…

math.CV2021

Approximation in the mean on rational curves

Shibananda Biswas, Mihai Putinar

In the presence of a positive, compactly supported measure on an affine algebraic curve, we relate the density of polynomials in Lebesgue $L^{2}$ -space to the existence of analytic b…

math.FA2010

Resolution of singularities for a class of Hilbert modules

Shibananda Biswas, Gadadhar Misra

A short proof of the "Rigidity theorem" using the sheaf theoretic model for Hilbert modules over polynomial rings is given. The joint kernel for a large class of submodules is desc…