Utsav Dewan

activity

20222026

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5 papers · 1 filter

math.FA2024

Pointwise convergence of solutions of the Schrödinger equation along general curves 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 Schrödinger equ…

math.FA2024

Mapping properties of the Schrödinger 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 Schrödinger maximal function…

math.DG2024

Estimates of the Poisson kernel on negatively curved Hadamard manifolds

Kingshook Biswas, Utsav Dewan, Arkajit Pal Choudhury

Let $M$ be an $n$ -dimensional Hadamard manifold of pinched negative curvature $- b^{2} \leq K_{M} \leq - a^{2}$ . The solution of the Dirichlet problem at infinity for $M$ leads to the cons…

math.CA2024

Regularity and pointwise convergence of solutions of the Schrödinger 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 Schrödinger equ…

math.CA2024

Restricted Mean Value Property with non-tangential boundary behavior on Riemannian manifolds

Utsav Dewan

A well studied classical problem is the harmonicity of functions satisfying the restricted mean-value property (RMVP) for domains in $R^{n}$ . Recently, the author along with…