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 Self-adjoint and non-self-adjoint extensions of the symmetric operator generated by an infinite Jacobi matrixB. P. Allakhverdiev 3 Removable singularities of solutions of second-order parabolic equationsYu. A. Alkhutov 9 Separability and distanceA. G. Bakan 18 Rate of approximation of functions in the Hardy–Orlicz classes $H_{\varphi}$G. M. Vartanyan 23 Asymptotics of an integral that arises in the theory of perturbations of KdV solitonsL. A. Kalyakin 32 Condition for a regular set function in a topological space to be exhaustiveV. M. Klimkin, T. A. Sribnaya 43 Isoperimetric estimates of the second boundary value problem for the Poisson equationA. A. Kosmodem'yanskii (Jr.) 48 Boundedness and compactness criteria for a certain difference inclusionR. Oinarov, A. P. Stikharnyi 54 Cavalieri conditions for a $k$-dimensional radon transformationE. E. Petrov 61 Nonnegative trigonometric polynomials in many variables and cubature formulas of Gaussian typeA. V. Reztsov 69 Convex sections of graphs of continuous functionsP. V. Semenov 75 Polynomial convexity of some sets in $C^n$M. M. Smirnov, E. M. Chirka 81 Continuation of homogeneous functionals with a given convexityV. A. Smirnov, V. A. Sheikhman 90 Equations of hydrodynamic type from the point of view of the theory of websE. V. Ferapontov 97 The Ock–Grawert principle for the extension of holomorphic line bundles with integrable curvatureV. V. Shevchishin 109 An integral estimate of distances between cross sections of two sets by planesO. B. Sheremet 120 Hausdorff dimension of a class of non-self-similar fractalsM. A. Shereshevskii 129 Inverse problem for integrodifferential operatorsV. A. Yurko 134 Brief Communications Estimates for the Kolmogorov diameters of classes of functions with conditions on the mixed difference in the uniform metricÈ. S. Belinskii 147 Estimate for the remainder in the Tate formulaV. A. Dem'yanenko 149 Fluctuation of averages in the strong law of large numbersA. G. Kachurovskii 151 Application of quasi-classical methods in a study of the Belavkin quantum filtrationV. N. Kolokoltsov 153 Perturbation method for a weakly nonlinear hyperbolic first order problemV. P. Shutyaev 156