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MR1251166 (95g:82045) 82B41 (05E10 20C32 44A60)
Kerov, S. V. Transition probabilities of continual Young diagrams and the Markov moment problem. (Russian) Funktsional. Anal. i Prilozhen. 27 (1993), no. 2, 32--49, 96; translation in Funct. Anal. Appl. 27 (1993), no. 2, 104--117
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