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MR1252736 (94m:43008) 43A55 (33C80 43A90 46E22 47B99)
Peetre, Jaak; Zhang, Gen Kai A weighted Plancherel formula. III. The case of the hyperbolic matrix ball. Collect. Math. 43 (1992), no. 3, 273--301 (1993).
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