activity
20162022
most citedA Schwarz lemma for the symmetrized tridisc and description of interpolating functions

1 citations · 1 across the 6 of their papers we have counts for

collaborators

7 papers

math.CV2022

The Friedrichs Operator and Circular Domains

Sivaguru Ravisankar, Samriddho Roy

The Friedrichs operator of a domain (in ) is closely related to its Bergman projection and encodes crucial information (geometric, quadrature, potential theoretic etc…

math.CV2022

Interpolating functions for a family of domains related to -synthesis

Samriddho Roy

Assuming the existence of an analytic interpolant mapping a two-point data from the unit disc to , we describe a class of such interpolating…

math.CV2021

A Schwarz lemma for the symmetrized polydisc via estimates on another family of domains

Sourav Pal, Samriddho Roy

We make some sharp estimates to obtain a Schwarz lemma for the \textit{symmetrized polydisc} , a family of domains naturally associated with the spectral interpolation…

math.CV2019

A Schwarz lemma for two families of domains and complex geometry

Sourav Pal, Samriddho Roy

We make sharp estimates to obtain a Schwarz type lemma for the symmetrized polydisc $\gn$ and for the extended symmetrized polydisc $\Gn$. We explicitly construct an interpolating…

math.CV2019

Characterizations of the symmetrized polydisc via another family of domains

Sourav Pal, Samriddho Roy

We find new characterizations for the points in the \textit{symmetrized polydisc} , a family of domains associated with the spectral interpolation, defined by \[ \math…

math.CV2017

A generalized Schwarz lemma for two domains related to -synthesis

Sourav Pal, Samriddho Roy

We present a set of necessary and sufficient conditions that provides a Schwarz lemma for the tetrablock . As an application of this result, we obtain a Schwarz lemma fo…

math.CV2016★ 1 cited

A Schwarz lemma for the symmetrized tridisc and description of interpolating functions

Sourav Pal, Samriddho Roy

We produce a Schwarz lemma for the symmetrized tridisc \[ \mathbb G_3 =\{ (z_1+z_2+z_3,z_1z_2+z_2z_3+z_3z_1,z_1z_2z_3): \,|z_i|< 1, i=1,2,3 \}. \] We show that an interpolating fun…