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arXiv · 2208.13024

Strichartz inequality for orthonormal functions associated with Dunkl Laplacian and Hermite-Schr\"{o}dinger operators

P Jitendra Kumar Senapati·Pradeep Boggarapu
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Abstract

Strichartz inequality for the solutions of free Schr\"odinger equation associated with Dunkl Hermite operator $H_\kappa$ is generalized to any system of orthonormal functions with initial data. A relation between the kernels of Schr\"odinger propagators ($e^{-it H_\kappa}$ and $e^{it\Delta_\kappa}$) associated with the Dunkl Hermite and Dunkl Laplacian operators is established using which corresponding Schtrichartz inequality for orthonormal functions associated with Dunkl Laplacian is obtained.

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P Jitendra Kumar Senapati, Pradeep Boggarapu. 2022-08-27. Strichartz inequality for orthonormal functions associated with Dunkl Laplacian and Hermite-Schr\"{o}dinger operators. https://arxiv.org/abs/2208.13024

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