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Sharp estimates for the Opdam-Cherednik $W$-invariant heat kernel for the root system $A_1$ (2304.07009v1)
Published 14 Apr 2023 in math.RT and math.AP
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 $A_1$ with arbitrary multiplicity $k>0$. Sharp estimates of Opdam-Cherednik's radial heat kernel are conjectured for any root system.
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