M. Naik

collaborators

2 papers

math.CA2024

$L^{p}$ -asymptotic behaviour of solutions of the heat equation on Riemannian symmetric spaces of noncompact type

Muna Naik, Swagato K. Ray, Jayanta Sarkar

For Riemannian symmetric spaces $X = G / K$ of noncompact type, we show that for all left $K$ -invariant $f \in L^{1} (X)$ , the functions $∥ h_{t} ∥_{L^{p} (X)}^{- 1} (f * h_{t} - M_{p} (f) h_{t})$ (with…

math.FA2020

Asymptotic mean value property for eigenfunctions of the Laplace-Beltrami operator on Damek-Ricci spaces

Muna Naik, Rudra P. Sarkar

Let $S$ be a Damek-Ricci space equipped with the Laplace-Beltrami operator $Δ$ . In this paper we characterize all eigenfunctions of $Δ$ through sphere, ball and shell averages as t…

Lp-asymptotic behaviour of solutions of the heat equation on Riemannian symmetric spaces of noncompact type

Asymptotic mean value property for eigenfunctions of the Laplace-Beltrami operator on Damek-Ricci spaces

$L^{p}$ -asymptotic behaviour of solutions of the heat equation on Riemannian symmetric spaces of noncompact type