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A complete classification of the admissible representatons of infinite-dimensional classical matrix groups. I
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 8 (2001) no. 3, pp. 282-307 Cet article a éte moissonné depuis la source Math-Net.Ru

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Article is first part of the paper, where the classes of unitary equivalence of admissible representation of infinite-dimensional classical groups $GL(\infty)$, $ Sp(2\infty)$, $O(2\infty)$ are exhaustively described. It contains realization of full set of admissible representations and classification of the results for group $GL(\infty)$. 
@article{JMAG_2001_8_3_a4,
     author = {N. I. Nessonov},
     title = {A complete classification of the admissible representatons of infinite-dimensional classical matrix {groups.~I}},
     journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
     pages = {282--307},
     year = {2001},
     volume = {8},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/JMAG_2001_8_3_a4/}
}
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N. I. Nessonov. A complete classification of the admissible representatons of infinite-dimensional classical matrix groups. I. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 8 (2001) no. 3, pp. 282-307. http://geodesic.mathdoc.fr/item/JMAG_2001_8_3_a4/