Vladimir Inozemtsev
141980, Dubna, Moscow region
Bogolubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Reserch
Publications:
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Inozemtsev V. I.
On the Structure of Zonal Spherical Functions on Symmetric Spaces of Negative Curvature of Type AII
2019, Vol. 15, no. 2, pp. 179-186
Abstract
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.
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