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arXiv · 1905.10581

Genuinely sharp heat kernel estimates on compact rank-one symmetric spaces, for Jacobi expansions, on a ball and on a simplex

Adam Nowak·Peter Sjögren·Tomasz Z. Szarek
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Abstract

We prove genuinely sharp two-sided global estimates for heat kernels on all compact rank-one symmetric spaces. This generalizes the authors' recent result obtained for a Euclidean sphere of arbitrary dimension. Furthermore, similar heat kernel bounds are shown in the context of classical Jacobi expansions, on a ball and on a simplex. These results are more precise than the qualitatively sharp Gaussian estimates proved recently by several authors.

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Adam Nowak, Peter Sjögren, Tomasz Z. Szarek. 2019-05-25. Genuinely sharp heat kernel estimates on compact rank-one symmetric spaces, for Jacobi expansions, on a ball and on a simplex. https://doi.org/10.1007/s00208-021-02185-8

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