Geodesic
On Spherical Functions on the Group $\operatorname{SU}\times\operatorname{SU}\times\operatorname{SU}$
Funkcionalʹnyj analiz i ego priloženiâ, Tome 44 (2010) no. 1, pp. 59-67.

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We consider the group $G:=\operatorname{SU}\times\dots\times\operatorname{SU}$ ($l$ factors), where $\operatorname{SU}(2)$ is the group of unitary $2\times 2$ matrices with unit determinant. Let $K\simeq\operatorname{SU}(2)$ be the diagonal subgroup of $G$. We obtain the generating function of all $K$-spherical functions on $G$.
Keywords: spherical function, Fock space, invariant of $\operatorname{SU}(2)$.
Mots-clés : orthogonal polynomial 
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Yu. A. Neretin. On Spherical Functions on the Group $\operatorname{SU}\times\operatorname{SU}\times\operatorname{SU}$. Funkcionalʹnyj analiz i ego priloženiâ, Tome 44 (2010) no. 1, pp. 59-67. http://geodesic.mathdoc.fr/item/FAA_2010_44_1_a4/

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