Pradeep Boggarapu

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math.CA2026

Characterization of eigenfunctions of Laplacian having exponential growth using Fourier multipliers

Basil Paul, Pradeep Boggarapu

In 1993, Robert Strichartz established a characterization for bounded eigenfunctions of the Laplacian on $R^{d}$ . Let ${f_{k}}_{k \in Z}$ be a doubly inf…

math.CA2026

Characterization of eigenfunctions of the Laplacian having exponential growth

Basil Paul, Pradeep Boggarapu

In 1993, Robert Strichartz proved a characterization for the bounded eigenfunctions of Laplacian $Δ = - \sum_{j = 1}^{d} \frac{\partial ^{2}}{\partial x _{j}^{2}}$ on $R^{d}$ : If $\left\{…

math.CA2022

Restriction theorem for the Fourier-Dunkl transform I: Cone surface

P Jitendra Kumar Senapati, Pradeep Boggarapu, Shyam Swarup Mondal +1

In this article, we define the Fourier-Dunkl transform, which generalizes the Fourier transform. We prove Strichartz's restriction theorem for the Fourier-Dunkl transform for a con…