Geodesic
On the Structure of Zonal Spherical Functions on Symmetric Spaces of Negative Curvature of Type AII
Russian journal of nonlinear dynamics, Tome 15 (2019) no. 2, pp. 179-186 Cet article a éte moissonné depuis la source Math-Net.Ru

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A purely algebraic method is proposed for the construction of zonal spherical functions (ZSF) on symmetric spaces $X_{n}^{-}=SL(n,Q)/Sp(n)$ and eigenfunctions of the hyperbolic Sutherland operator connected with them. Examples of the explicit calculations of the coefficients determining the structure of ZSF are given.
Keywords: hyperbolic Sutherland operator, zonal spherical functions.
Mots-clés : permutation group 
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V. I. Inozemtsev. On the Structure of Zonal Spherical Functions on Symmetric Spaces of Negative Curvature of Type AII. Russian journal of nonlinear dynamics, Tome 15 (2019) no. 2, pp. 179-186. http://geodesic.mathdoc.fr/item/ND_2019_15_2_a6/

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