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<p>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.</p>

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New Sharp Bounds for the Jacobi Heat Kernel via an Extension of the Dijksma–Koornwinder Formula

  • 期刊论文

  • 发表日期：

    2026年1月31日

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  • Adam Nowak,
  • Peter Sjögren,
  • Tomasz Z. Szarek

摘要

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.