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arXiv · 1801.07326

Gaussian bounds for the heat kernels on the ball and simplex: Classical approach

Gerard Kerkyacharian·Pencho Petrushev·Yuan Xu
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Abstract

Two-sided Gaussian bounds are established for the weighted heat kernels on the unit ball and simplex in $\mathbb{R}^d$ generated by classical differential operators whose eigenfunctions are algebraic polynomials.

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Gerard Kerkyacharian, Pencho Petrushev, Yuan Xu. 2018-01-22. Gaussian bounds for the heat kernels on the ball and simplex: Classical approach. https://arxiv.org/abs/1801.07326

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