Sumit Kumar Rano

activity

20182020

collaborators

3 papers

math.FA2020

Dynamics of semigroups generated by analytic functions of the Laplacian on Homogeneous Trees

Pratyoosh Kumar, Sumit Kumar Rano

Let $f$ be a non-constant complex-valued analytic function defined on a connected, open set containing the $L^{p}$ -spectrum of the Laplacian $L$ on a homogeneous tree. In th…

math.FA2019

A Theorem of Roe and Strichartz on homogeneous trees

Pratyoosh Kumar, Sumit Kumar Rano

In 1980, J. Roe proved that if ${f_{k}}_{k \in Z}$ is doubly infinite sequence of functions in $R$ which is uniformly bounded and satisfies $(d f_{k} / d x) = f_{k + 1}$ …

math.FA2018

Analysis of $L^{p}$ -type estimates of Poisson transform on Homogeneous Trees

Pratyoosh Kumar, Sumit Kumar Rano

In this article we prove the restriction theorem for Helgason-Fourier transform on homogeneous tree. Our proof is based on the duality argument and the norm estimates of Poisson tr…

Dynamics of semigroups generated by analytic functions of the Laplacian on Homogeneous Trees

A Theorem of Roe and Strichartz on homogeneous trees

Analysis of Lp-type estimates of Poisson transform on Homogeneous Trees

Analysis of $L^{p}$ -type estimates of Poisson transform on Homogeneous Trees