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arXiv · 2402.08800

New sharp bounds for the Jacobi heat kernel via an extension of the Dijksma-Koornwinder formula

Adam Nowak·Peter Sjögren·Tomasz Z. Szarek
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Abstract

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.

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Adam Nowak, Peter Sjögren, Tomasz Z. Szarek. 2024-02-13. New sharp bounds for the Jacobi heat kernel via an extension of the Dijksma-Koornwinder formula. https://arxiv.org/abs/2402.08800

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