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 A complete classification of the representations of $\mathrm{GL}(\infty)$ containing the identity representation of the unitary subgroupN. I. Nessonov 131 On asymptotic properties of polynomials orthogonal on the circle with weights not satisfying the Szegö's conditionE. A. Rakhmanov 151 A complex succession function in the problem of generation of complex limit cylinders and their relation with real limit cyclesV. P. Tareev 170 Capacity of condensers and spatial mappings quasiconformal in the meanV. I. Kruglikov 185 On estimates of the maximum of a solution of a parabolic equation and estimates of the distribution of a semimartingaleN. V. Krylov 207 Perturbations of quasilinear elliptic equations and Fredholm manifoldsM. I. Vishik, S. B. Kuksin 222 Parametrix and asymptotics of the spectral function of differential operators in $\mathbf R^n$B. R. Vainberg 243 Carleman estimates and inverse problems for second-order hyperbolic equationsA. Khaidarov 265 On the basis property of the Haar system in the space $\mathscr L^{p(t)}([0,1])$ and the principle of localization in the meanI. I. Sharapudinov 275