2 papers
math.AP2024
Regularity of Solution of the Schrödinger Equation on Symmetric Space
Pratyoosh Kumar, Manali Sajjan
In this article, we investigate the behavior of solutions \( u(x,t) \) to the fractional Schrödinger equation on rank symmetric spaces of non-compact type. We proved that as time \…
math.CA2024
Weighted Fourier inequalities and application of restriction theorems on rank one Riemannian symmetric spaces of noncompact type
Pratyoosh Kumar, Sanjoy Pusti, Tapendu Rana +1
This article explores weighted inequalities for the Fourier transform in rank one Riemannian symmetric spaces of noncompact type. We establish both necessary and suffi…