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math.AP2026
Regularity and pointwise convergence for dispersive equations on Riemannian symmetric spaces of compact type
Utsav Dewan, Sanjoy Pusti
In this article, we first prove that for general dispersive equations on Riemannian symmetric spaces of compact type , of rank and , the Sobolev regularity t…
math.AP2025
Regularity and pointwise convergence for dispersive equations with asymptotically concave phase on Damek-Ricci spaces
Utsav Dewan
We study the Carleson's problem on Damek-Ricci spaces for dispersive equations: \begin{equation*} \begin{cases} i\frac{\partial u}{\partial t} +Ψ(\sqrt{-\mathcal{L}} )u=0\:,\:…
math.AP2025
Maximal estimates and pointwise convergence for solutions of certain dispersive equations with radial initial data on Damek-Ricci spaces
Utsav Dewan
One of the most celebrated problems in Euclidean Harmonic analysis is the Carleson's problem: determining the optimal regularity of the initial condition of the Schrödinger eq…