3 papers
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…