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

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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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     author = {V. I. Inozemtsev},
     title = {On the {Structure} of {Zonal} {Spherical} {Functions} on {Symmetric} {Spaces} of {Negative} {Curvature} of {Type} {AII}},
     journal = {Russian journal of nonlinear dynamics},
     pages = {179--186},
     publisher = {mathdoc},
     volume = {15},
     number = {2},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ND_2019_15_2_a6/}
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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/