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MR650123 60J05 (05C38 22D15)
Letac, Gérard Les fonctions sphériques d'un couple de Gelʹfand symétrique et les chaînes de Markov. (French) [The spherical functions of a symmetric Gelʹfand pair and the Markov chains] Adv. in Appl. Probab. 14 (1982), no. 2, 272–294.
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