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 On two methods of studying the invertibility of operators in $C^*$-algebras induced by dynamical systemsA. B. Antonevich 3 On efficient analytic continuation of power seriesN. U. Arakelian 24 The Cauchy problem for the Euler–Poisson–Darboux equation in a symmetric spaceI. A. Kipriyanov, L. A. Ivanov 45 On the Engel problemS. P. Mishchenko 56 Harmonic analysis of cosine and exponential operator-valued functionsA. G. Baskakov 68 Long wave asymptotics of asolution of a hyperbolic system of equationsL. A. Kalyakin 96 On a variational problem of Chebotarev in the theory of capacity of plane sets and covering theorems for univalent conformal mappingsS. I. Fedorov 121 Maximal codimension of the sets of singular elements of representations of Lie algebrasV. V. Prasolov 140 Critical points of the multidimensional Dirichlet functionalA. V. Tyrin 146