4 papers
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…