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

Voir la notice de l'article provenant de la source Math-Net.Ru

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 
@article{FAA_2010_44_1_a4,
     author = {Yu. A. Neretin},
     title = {On {Spherical} {Functions} on the {Group} $\operatorname{SU}\times\operatorname{SU}\times\operatorname{SU}$},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {59--67},
     publisher = {mathdoc},
     volume = {44},
     number = {1},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2010_44_1_a4/}
}
TY  - JOUR
AU  - Yu. A. Neretin
TI  - On Spherical Functions on the Group $\operatorname{SU}\times\operatorname{SU}\times\operatorname{SU}$
JO  - Funkcionalʹnyj analiz i ego priloženiâ
PY  - 2010
SP  - 59
EP  - 67
VL  - 44
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FAA_2010_44_1_a4/
LA  - ru
ID  - FAA_2010_44_1_a4
ER  - 
%0 Journal Article
%A Yu. A. Neretin
%T On Spherical Functions on the Group $\operatorname{SU}\times\operatorname{SU}\times\operatorname{SU}$
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 2010
%P 59-67
%V 44
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FAA_2010_44_1_a4/
%G ru
%F FAA_2010_44_1_a4
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/