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MR1812941 05E10 (20C32 60G55)
Borodin, A. M. Harmonic analysis on the infinite symmetric group, and the Whittaker kernel. (Russian) Algebra i Analiz 12 (2000), no. 5, 28--63; translation in St. Petersburg Math. J. 12 (2001), no. 5, 733–759
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