Sharp estimates for the Opdam-Cherednik $W$-invariant heat kernel for the root system $A_1$
Representation Theory
2023-04-17 v1 Analysis of PDEs
Abstract
For the first time, the estimates of the non-centered Weyl-group invariant heat kernel for curved Riemannian spaces and for Opdam-Cherednik Laplacians are studied systematically. We prove sharp estimates for the root system with arbitrary multiplicity . Sharp estimates of Opdam-Cherednik's radial heat kernel are conjectured for any root system.
Cite
@article{arxiv.2304.07009,
title = {Sharp estimates for the Opdam-Cherednik $W$-invariant heat kernel for the root system $A_1$},
author = {Piotr Graczyk and Patrice Sawyer},
journal= {arXiv preprint arXiv:2304.07009},
year = {2023}
}