Optimal bounds for the Dunkl kernel in the dihedral case

DOI10.1016/J.JFA.2024.110743MaRDI QIDQ6658232

Jean-Philippe Anker, Bartosz Trojan

Publication date: 8 January 2025

Published in: Journal of Functional Analysis (Search for Journal in Brave)

zbMATH Keywords

dihedral groupheat kernelDunkl kernel

Mathematics Subject Classification ID

Difference operators (39A70) Other geometric groups, including crystallographic groups (20H15) Hypergeometric functions associated with root systems (33C67) Orthogonal polynomials and functions associated with root systems (33C52) Heat kernel (35K08) Root systems (17B22)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Generalized Hermite polynomials and the heat equation for Dunkl operators
• The Dunkl transform
• Asymptotic analysis for the Dunkl kernel
• Heat kernel and Green function estimates on noncompact symmetric spaces
• On the estimates of Dunkl kernels
• Upper and lower bounds for the Dunkl heat kernel
• The Dunkl kernel and intertwining operator for dihedral groups
• Contributions to the hypergeometric function theory of Heckman and Opdam: Sharp estimates, Schwartz space, heat kernel
• The Hardy space \(H^1\) in the rational Dunkl setting
• On the integral representations for Dunkl kernels of type $A_{2}$
• Differential-Difference Operators Associated to Reflection Groups
• Intertwining Operators Associated to the Group S 3
• AN INTERTWINING OPERATOR FOR THE GROUP B₂
• A formula and sharp estimates for the Dunkl kernel for the root system \(A_2\)

This page was built for publication: Optimal bounds for the Dunkl kernel in the dihedral case

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6658232)