On a pointwise inequality for even Legendre polynomials in high dimensional spheres
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929561320554496 |
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| author | Chen, Shirong Huang, Yi C. Zhang, Jian-Yang |
| author_facet | Chen, Shirong Huang, Yi C. Zhang, Jian-Yang |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_20209 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On a pointwise inequality for even Legendre polynomials in high dimensional spheres Chen, Shirong Huang, Yi C. Zhang, Jian-Yang Classical Analysis and ODEs Primary 33C55. Secondary 30C10 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. |
| title | On a pointwise inequality for even Legendre polynomials in high dimensional spheres |
| topic | Classical Analysis and ODEs Primary 33C55. Secondary 30C10 |
| url | https://arxiv.org/abs/2410.20209 |