New sharp bounds for the Jacobi heat kernel via an extension of the Dijksma-Koornwinder formula
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866909105357062144 |
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| author | Nowak, Adam Sjögren, Peter Szarek, Tomasz Z. |
| author_facet | Nowak, Adam Sjögren, Peter Szarek, Tomasz Z. |
| contents | We obtain sharp estimates for the Jacobi heat kernel in a range of parameters where the result has not been established before. This extends and completes an earlier result due to the authors. The proof is based on a generalization of the Dijksma-Koornwinder product formula for Jacobi polynomials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_08800 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | New sharp bounds for the Jacobi heat kernel via an extension of the Dijksma-Koornwinder formula Nowak, Adam Sjögren, Peter Szarek, Tomasz Z. Classical Analysis and ODEs 35K08 (Primary) 33C45, 42C05 (Secondary) We obtain sharp estimates for the Jacobi heat kernel in a range of parameters where the result has not been established before. This extends and completes an earlier result due to the authors. The proof is based on a generalization of the Dijksma-Koornwinder product formula for Jacobi polynomials. |
| title | New sharp bounds for the Jacobi heat kernel via an extension of the Dijksma-Koornwinder formula |
| topic | Classical Analysis and ODEs 35K08 (Primary) 33C45, 42C05 (Secondary) |
| url | https://arxiv.org/abs/2402.08800 |