3 citations · 5 across the 9 of their papers we have counts for
9 papers
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 . Let be a doubly inf…
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 on : If $\left\{…
Restriction theorem for Fourier-Dunkl transform II: Paraboloid, sphere, and hyperboloid surfaces
P Jitendra Kumar Senapati, Pradeep Boggarapu, Shyam Swarup Mondal +1
This is a continuation of the paper "Restriction theorem for Fourier-Dunkl transform I: Cone surface, J. Pseudo-Differ. Oper. Appl. 14(1), Paper No. 5 (2023)", where the authors in…
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…
Sharp Strichartz type estimates for the Schrödinger equation associated with harmonic oscillator
P Jitendra Kumar Senapati, Pradeep Boggarapu
In this article we study the Schrödinger equation associated with Harmonic oscillator in the form of Strichartz type inequality. We give simple proofs for Strichartz type inequalit…
Strichartz inequality for orthonormal functions associated with Dunkl Laplacian and Hermite-Schrödinger operators
P Jitendra Kumar Senapati, Pradeep Boggarapu
Strichartz inequality for the solutions of free Schrödinger equation associated with Dunkl Hermite operator is generalized to any system of orthonormal functions with initial…
Mixed norm estimates for the Cesàro means associated with Dunkl--Hermite expansions
Pradeep Boggarapu, L. Roncal, S. Thangavelu
Our main goal in this article is to study mixed norm estimates for the Cesàro means associated with Dunkl--Hermite expansions on . These expansions arise when one con…
On the chaotic behavior of the Dunkl heat semigroup on weighted spaces
Pradeep Boggarapu, S. Thangavelu
In this paper we study the chaotic behaviour of the heat semigroup generated by the Dunkl-Laplacian on weighted spaces. In the case of the heat semigroup associated to the s…
Revisiting Riesz transforms for Hermite and Special Hermite Operators
Pradeep Boggarapu, S. Thangavelu
In this paper we prove weighted mixed norm estimates for Riesz transforms associated to Hermite and special Hermite operators. The estimates are shown to be equivalent to vectorval…