Sumit Kumar Rano

activity

20222024

collaborators

3 papers

math.CA2024

A theorem of Strichartz for multipliers on homogeneous trees

Sumit Kumar Rano, Rudra P. Sarkar

A theorem of Strichartz states that if a uniformly bounded bi-infinite sequence of functions on the Euclidean spaces, satisfies the condition that the Laplacian acting on a functio…

math.CA2023

Eigenfunctions of the Laplacian satisfying Hardy-type estimates on homogeneous trees

Sumit Kumar Rano

This work deals with the characterization of eigenfunctions of the Laplacian $L$ on a homogeneous tree $X$ , which satisfy certain growth conditions. More precis…

math.CA2022

$L^{p}$ -boundedness of pseudo-differential operators on homogeneous trees

Tapendu Rana, Sumit Kumar Rano

The aim of this article is to study the $L^{p}$ -boundedness of pseudo-differential operators on a homogeneous tree $X$ . For $p \in (1, 2)$ , we establish a connection bet…

A theorem of Strichartz for multipliers on homogeneous trees

Eigenfunctions of the Laplacian satisfying Hardy-type estimates on homogeneous trees

Lp-boundedness of pseudo-differential operators on homogeneous trees

$L^{p}$ -boundedness of pseudo-differential operators on homogeneous trees