Utsav Dewan

activity

20242026

collaborators

Showing math.CAShow all

4 papers · 1 filter

math.CA2026

CesÃ ro summability of HÃ¶lder functions and Talbot effect on rank one Riemannian symmetric spaces of compact type

Utsav Dewan

On rank one Riemannian symmetric spaces of compact type (of dimension $\geq 2$ ), we first obtain a quantitative characterization of HÃ¶lder continuity in terms of CesÃ ro means. In…

math.CA2025

Initial singularities of positive solutions of the Heat equation on Stratified Lie groups

Utsav Dewan

Let $(G, \circ)$ be a stratified Lie group. We estimate the Hausdorff dimension (with respect to the Carnot-CarathÃ©odory metric) of the singular sets in $G$ , wher…

math.CA2025

Regularity and pointwise convergence for dispersive equations on $H^{2}$

Utsav Dewan

In the prototypical setting of non-Euclidean geometry, the 2-dimensional Real Hyperbolic space $H^{2}$ , we consider the Carleson's problem for the SchrÃ¶dinger equation and…

math.CA2024

Regularity and pointwise convergence of solutions of the SchrÃ¶dinger operator 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 $f$ of the SchrÃ¶dinger eq…

CesÃ ro summability of HÃ¶lder functions and Talbot effect on rank one Riemannian symmetric spaces of compact type

Initial singularities of positive solutions of the Heat equation on Stratified Lie groups

Regularity and pointwise convergence for dispersive equations on H2

Regularity and pointwise convergence of solutions of the SchrÃ¶dinger operator with radial initial data on Damek-Ricci spaces

Regularity and pointwise convergence for dispersive equations on $H^{2}$