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

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.

References in corpus (1)

• Gaussian bounds for the weighted heat kernels on the interval, ball and simplex

Cited by in corpus (4)

• Analysis in the multi-dimensional ball
• Gaussian bounds for the weighted heat kernels on the interval, ball and simplex
• Genuinely sharp heat kernel estimates on compact rank-one symmetric spaces, for Jacobi expansions, on a ball and on a simplex
• Kernel and wavelet density estimators on manifolds and more general metric spaces