A~complete classification of the representations of $\mathrm{GL}(\infty)$ containing the identity representation of the unitary subgroup
Sbornik. Mathematics, Tome 58 (1987) no. 1, pp. 127-147
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It is proved that a previously known list of indecomposable spherical functions of the group $\mathrm{GL}(\infty)$ that are bilaterally invariant with respect to the unitary subgroup is complete.
Bibliography: 9 titles.
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author = {N. I. Nessonov},
title = {A~complete classification of the representations of $\mathrm{GL}(\infty)$ containing the identity representation of the unitary subgroup},
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N. I. Nessonov. A~complete classification of the representations of $\mathrm{GL}(\infty)$ containing the identity representation of the unitary subgroup. Sbornik. Mathematics, Tome 58 (1987) no. 1, pp. 127-147. http://geodesic.mathdoc.fr/item/SM_1987_58_1_a7/