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arXiv · 2410.20209

On a pointwise inequality for even Legendre polynomials in high dimensional spheres

Shirong Chen·Yi C. Huang·Jian-Yang Zhang
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Abstract

We present a pointwise inequality for adjacent even Legendre polynomials in high dimensional spheres featuring the effect of spectral gaps. This improves a recent result of Imbert, Silvestre and Villani that is crucially used in their study of the Fisher information for the Boltzmann equation.

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Shirong Chen, Yi C. Huang, Jian-Yang Zhang. 2024-10-26. On a pointwise inequality for even Legendre polynomials in high dimensional spheres. https://arxiv.org/abs/2410.20209

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