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

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arxiv 2402.08800 v1 pith:NWCOUXD6 submitted 2024-02-13 math.CA

Adam Nowak , Peter Sjögren , Tomasz Z. Szarek This is my paper · ORCID
classification math.CA
keywords jacobidijksma-koornwinderformulaheatkernelresultsharpauthors
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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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  1. Sharp estimates for Jacobi heat kernels in double conic domains

    math.AP 2024-11 reject novelty 5.0 of 10

    Sharp two-sided estimates are stated for even and odd Jacobi heat kernels on double cones and for even kernels on hyperboloids; the final comparison step in the proof is not justified.

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