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 MATHEMATICS Multipliers of the Fourier integral in weighted $L_p$-spaces with an exponential weightV. I. Burenkov, M. Sh. Tuyakbaev 11 Countable generalizations of pseudocompactifications and maximal compactificationsA. I. Veksler, A. V. Koldunov 15 Hypergeometric functions on the $k$th exterior power of the space $\mathbf{C}^n$ and the Grassmannian $G_{k,n}$ and the connection between themI. M. Gel'fand, M. I. Graev, V. S. Retakh 20 On the existence of stable outcomes in a game-theoretic model of an economy with public goodsN. S. Kukushkin 25 A functional equation of the Riemann zeta function and an interval of the Euler productA. F. Lavrik 29 A functional-difference method of arbitrary order of accuracy for solving the Sturm–Liouville problem with piecewise-smooth coefficientsV. L. Makarov 34 Approximation of functions by trigonometric polynomials on a manifold. IIS. M. Nikol'skii 40 Spectral properties of a class of difference operatorsV. S. Rabinovich 45 The pure point spectrum of random orthogonal polynomials on the circleA. V. Teplyaev 49 On the structure of a generalized function with support on a subspaceI. Yu. Chesnokov 54 CYBERNETICS AND THE REGULATION THEORY On the approximation of criteria in problems on the dynamic synthesis of manipulator robotsP. S. Krasnoshchekov, A. G. Perevozchikov, V. V. Fedorov 58 Systems characteristics of linear periodic pulse operatorsE. N. Rozenvasser 62 ASTRONOMY On the evolution of spiral galaxiesA. L. Gulbudagyan 67 GEOPHYSICS Oscillations of the heating effect of oceans on global climateG. V. Alekseev, I. A. Podgornyi, P. N. Svyashchennikov 70 Anomalous changes of the Earth's surface tilts at the Garni geophysical test site irom the data of quartz tiltmetersD. G. Gridnev, I. I. Naumenko-Bondarenko, A. Ya. Sidorin 74 Determination of coherence coefficient in case of two vector random processesS. P. Levikov, S. Yu. Sokolov 78 Processing of geophysical data in the case of multiplicative-additive noise with an unknown dispersion of the multiplicative componentV. N. Strakhov 82 MATHEMATICAL PHYSICS Stability of two-dimensional and three-dimensional solitons in weakly dispersive mediaV. Yu. Belashov 85 PHYSICS Interaction and forced natural oscillations of open waveguide resonatorsV. P. Shestopalov, N. P. Yashina, I. E. Pochanina 90