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arXiv · 2212.01886

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

P Jitendra Kumar Senapati·Pradeep Boggarapu·Shyam Swarup Mondal·Hatem Mejjaoli
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Abstract

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 cone-hyper-surface and its generalisation to the family of orthonormal functions. As an application of this restriction theorem, we derive the Strichartz inequality associated with the square root of Dunkl Laplacian for the family of orthonormal functions.

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P Jitendra Kumar Senapati, Pradeep Boggarapu, Shyam Swarup Mondal, Hatem Mejjaoli. 2022-12-07. Restriction theorem for the Fourier-Dunkl transform I: Cone surface. https://arxiv.org/abs/2212.01886

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