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 On the homotopy equivalence of simple AI-algebrasO. Yu. Aristov 3 On unordered phases of certain models on a Cayley treeN. N. Ganikhodzhaev, U. A. Rozikov 31 Wood's anomalies and surface waves in the problem of scattering by a periodic boundary. III. V. Kamotskii, S. A. Nazarov 43 Asymptotic behaviour of the solution of the two-dimensional Dirac system with rapidly oscillating coefficientsO. M. Kiselev 71 Conformal geometry of symmetric spaces and generalized linear-fractional maps of Krein–Shmul'yanYu. A. Neretin 93 Uniform and $C^1$-approximability of functions on compact subsets of $\mathbb R^2$ by solutions of second-order elliptic equationsP. V. Paramonov, K. Yu. Fedorovskiy 123 Paley problem for plurisubharmonic functions of finite lower orderB. N. Khabibullin 145