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MR1402920 (98e:28015) 28C10 (22E65 41A15 43A35)
Olshanski, Grigori; Vershik, Anatoli Ergodic unitarily invariant measures on the space of infinite Hermitian matrices. Contemporary mathematical physics, 137--175, Amer. Math. Soc. Transl. Ser. 2, 175, Amer. Math. Soc., Providence, RI, 1996.
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