On Racah Operators
Funkcionalʹnyj analiz i ego priloženiâ, Tome 40 (2006) no. 3, pp. 69-72.

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As a generalization of the well-known Racah coefficients (defined for finite-dimensional representations of semisimple Lie groups), we introduce the notion of Racah operators for locally compact groups with “nice” dual space. In the case of the group $PSL(2,\mathbb{C})$, these operators are explicitly indicated.
Keywords: Racah operator, group representation, dual space
Mots-clés : distribution.
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R. S. Ismagilov. On Racah Operators. Funkcionalʹnyj analiz i ego priloženiâ, Tome 40 (2006) no. 3, pp. 69-72. http://geodesic.mathdoc.fr/item/FAA_2006_40_3_a7/

[1] P. I. Golod, Matematicheskie osnovy teorii simmetrii, Nauchn.-izd. tsentr «Regulyarnaya i khaoticheskaya dinamika», Izhevsk, 2001

[2] A. F. Nikiforov, S. K. Suslov, V. B. Uvarov, Klassicheskie ortogonalnye polinomy diskretnoi peremennoi, Nauka, M., 1985 | MR | Zbl

[3] V. A. Knyp, P. P. Pipiraite, Yu. F. Smirnov, Yadernaya fizika, 22:5 (1975), 1063–1072

[4] M. A. Naimark, Trudy MMO, 5, 1959, 121–154 | MR

[5] W. Groenewelt, http://xxx.arxiv.org/abs/math.CA/0501511