Explicit formulae for spherical functions on symmetric spaces of type AII

DOI10.1007/BF01077080zbMath0760.43004MaRDI QIDQ1200385

Alexander P. Veselov, Oleg A. Chalykh

Publication date: 16 January 1993

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

zbMATH Keywords

inversion formulasymmetric spacespherical functionAbel transform

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Semisimple Lie groups and their representations (22E46) Harmonic analysis and spherical functions (43A90)

Related Items

A construction of commutative rings of differential operators ⋮ On the asymptotic decomposition of oscillating integrals with semi-quasi-homogeneous phase ⋮ Some phases of oscillatory integrals ⋮ Integrability and Huygens' principle on symmetric spaces ⋮ Integrability in the theory of Schrödinger operator and harmonic analysis ⋮ Analysis on flat symmetric spaces ⋮ Shift operators for the quantum Calogero-Sutherland problems via Knizhnik-Zamolodchikov equation

Cites Work

• Commutative rings of partial differential operators and Lie algebras
• Formulas for Elementary Spherical Functions and Generalized Jacobi Polynomials
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