Utsav Dewan

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20222026

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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…