A few remarks on integral representation for zonal spherical functions on the symmetric space SU (N)/SO(N, ℝ)

Journal of Physics A: Mathematical and General

Volumn 30, Issue 15, 1997, Pages

  Carinena J F ^a   Perelomov, A M ^a,b  

^a UNIVERSITY OF ZARAGOZA   (Spain)

^b INSTITUTE FOR THEORETICAL AND EXPERIMENTAL PHYSICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040565350     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/30/15/003     Document Type: Article

References (6)

1. Olshanetsky M A and Perelomov A M 1976 Completely integrable classical Hamiltonian systems connected with semisimple Lie algebras Invent. Math. 37 93-108
2. Olshanetsky M A and Perelomov A M 1977 Quantum completely integrable systems connected with semisimple Lie algebras Lett. Math. Phys. 2 7-13
3. Olshanetsky M A and Perelomov A M 1978 Quantum systems related to root systems and radial parts of Laplace operators Funkt. Anal. Appl. 12 121-8
4. Olshanetsky M A and Perelomov A M 1983 Quantum integrable systems related to Lie algebras Phys. Rep. 94 313-404
5. Helgason S 1978 Differential Geometry Lie Groups and Symmetric Spaces (New York: Academic)
6. Prati M-C 1984 Exact eigenfunctions of some completely integrable systems Lett. Nuovo Cimento 41 275-9