An analogue to the Duistermaat-Kolk-Varadarajan estimate for the spherical functions associated with the root systems of type \(A\)

DOI10.1515/apam-2015-0050zbMath1386.43003OpenAlexW2338547856MaRDI QIDQ301852

Patrice Sawyer

Publication date: 4 July 2016

Published in: Advances in Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/apam-2015-0050

zbMATH Keywords

root systemhypergeometric functiongeneralized spherical functionHarish-Chandra expansion

Mathematics Subject Classification ID

Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Semisimple Lie groups and their representations (22E46) Harmonic analysis and spherical functions (43A90)

Cites Work

• Schwartz space for the hypergeometric Fourier transform. (With an appendix by Mustapha Tinfou)
• Lecture notes on Dunkl operators for real and complex reflection groups
• On the kernel of the product formula on symmetric spaces
• Asymptotic analysis of \(\Theta\)-hypergeometric functions
• Harmonic analysis for certain representations of graded Hecke algebras
• Contributions to the hypergeometric function theory of Heckman and Opdam: Sharp estimates, Schwartz space, heat kernel
• Asymptotics of Harish-Chandra expansions, bounded hypergeometric functions associated with root systems, and applications
• Estimates for the Heat Kernel on SL(n,R)/ SO(n)
• Spherical functions on symmetric cones
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