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JOURNALS // Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry] // Archive

Mat. Fiz. Anal. Geom., 2002 Volume 9, Number 1, Pages 79–94 (Mi jmag274)

A complete classification of the admissible representations of infinite-dimensional\quad classical matrix groups. II

N. I. Nessonov

Kharkiv State Technical University of Agriculture

Abstract: The article is the second and last part of the paper, where the classes of unitary equivalence of admissible representation of infinite-dimensional groups $GL(\infty)$, $ Sp(2\infty)$, $O(2\infty)$ are exhaustively described. It contains classifications results for admissible representations for the case of symplectic and orthogonal groups.

MSC: 46L55, 46L65, 81S05

Received: 20.04.2001



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