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 A theorem on splitting an operator, and some related questions in the analytic theory of perturbationsA. G. Baskakov 435 Vector rank of commuting matrix differential operators. Proof of S. P. Novikov's criterionP. G. Grinevich 458 On a problem of SzépL. S. Kazarin 479 Analogues of the objects of Lie group theory for nonlinear Poisson bracketsM. V. Karasev 508 Inductive and projective topologies. Sufficient sets and representing systemsYu. F. Korobeinik 539 Homotopy formulas for the $\overline\partial$-operator on $\mathbf CP^n$ and the Radon–Penrose transformP. L. Polyakov, G. M. Henkin 566 Decidability of admissibility in the modal system $\mathrm{Grz}$ and in intuitionistic logicV. V. Rybakov 598 On an almost periodic perturbation on an infinite-dimensional torusD. A. Tarkhov 617