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Литература
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I. G. Macdonald, Symmetric functions and Hall polynomials, Clarendon Press, Oxford, 1979 |
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G. I. Olshanski, A. M. Vershik, “Ergodic unitarily invariant measures on the space of infinite Hermitian matrices”, Contemporary Mathematical Physics, Amer. Math. Soc. Transl. Ser. 2, 175, Amer. Math. Soc., Providence, RI, 1996, 137–175 |
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G. I. Olshanski, “Unitary representations of infinite-dimensional pairs $(G,K)$ and the formalism of R. Howe”, Representation of Lie Groups and Related Topics, eds. A. M. Vershik, D. P. Zhelobenko, Gordon and Breach, New York etc., 1990, 269–463 |
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D. Pickrell, “Mackey analysis of infinite classical motion groups”, Pacific J. Math., 150:1 (1991), 139–166 |
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D. Pickrell, “Separable representations of automorphism groups of infinite symmetric spaces”, J. Funct. Anal., 90 (1990), 1–26 |
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M. Rabaoui, “Asymptotic harmonic analysis on the space of square complex matrices”, J. Lie Theory, 18:3 (2008), 645–670 |
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M. Rabaoui, “A Bochner type theorem for inductive limits of Gelfand pairs”, Ann. Inst. Fourier (Grenoble), 58:5 (2008), 1551–1573 |
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A. M. Vershik, “A description of invariant measures for actions of certain infinite-dimensional groups”, Dokl. Akad. Nauk SSSR, 218 (1974), 749–752  |
