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

Gerard Kerkyacharian (1, 2)

1 CREST - Centre de Recherche en Économie et Statistique
2 LPSM (UMR_8001) - Laboratoire de Probabilités, Statistique et Modélisation

Two-sided Gaussian bounds are established for the weighted heat kernels on the unit ball and the simplex in Rd generated by classical differential operators whose eigenfunctions are algebraic polynomials.

Domaines: Mathématiques [math]

Gerard Kerkyacharian. Gaussian bounds for the heat kernels on the ball and the simplex: classical approach. Studia Mathematica, 2020, 250, pp.235-252. ⟨10.4064/sm180423-13-10⟩. ⟨hal-03916509⟩