Utsav Dewan

collaborators

10 papers

math.FA2026

Boundary behaviour of eigenfunctions and superharmonic functions on harmonic manifolds of purely exponential volume growth

Utsav Dewan

On $X$ , a non-positively curved harmonic manifold of purely exponential volume growth, of dimension $n \geq 3$ , we study certain quantitative aspects of the boundary behavi…

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 $X = U / K$ , of rank $1$ and $2$ , the Sobolev regularity t…

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.FA2025

Mapping properties of the SchrÃ¶dinger maximal function on Damek--Ricci spaces

Utsav Dewan, Swagato K. Ray

For $f \in S^{2} (S)_{o}$ , the collection of radial $L^{2}$ -Schwartz class functions on Damek--Ricci spaces $S$ , we consider the SchrÃ¶dinger maximal functio…

Boundary behaviour of eigenfunctions and superharmonic functions on harmonic manifolds of purely exponential volume growth

Regularity and pointwise convergence for dispersive equations on Riemannian symmetric spaces of compact type

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

Mapping properties of the SchrÃ¶dinger maximal function on Damek--Ricci spaces

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