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Genuinely sharp estimates for heat kernels on Weyl chambers

Published 8 Jan 2024 in math.AP and math.FA | (2401.03957v1)

Abstract: We consider heat kernels on Weyl chambers corresponding to Laplacians subject to mixed Dirichlet-Neumann boundary conditions imposed on the boundary. Using purely analytic tools we prove genuinely sharp two-sided global estimates in the frameworks of orthogonal root systems and the dihedral root systems $I_2(3)$ and $I_2(4)$.

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Authors (1)

  1. Krzysztof Stempak 

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