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 MATHEMATICS Weighted object domains and problems of enumeration of terms in these domainsYu. M. Voloshin 11 Asymptotic algebra, its applications to the study of modular operators and their spectral propertiesV. Ya. Golodets 15 On multipliers of Fourier transformsV. M. Kokilashvili 19 On the nonlocal theory of the Cauchy problem for quasi-linear equations of first order in the class of locally summable functionsS. N. Kruzhkov, P. A. Andreianov 23 Extremally disconnected and similar groupsV. I. Malykhin 27 On a method of approximating solutions of the traveling-salesman problemT. R. Minina, V. T. Perekrest 31 On the analytic continuation of the Green functions of exterior boundary-value problems for the two-dimensional Helmholtz equationL. A. Muravei 35 On homogeneous representations of a locally compact group in a pair of dual spacesM. A. Naimark 38 The language $\Delta$ with intuitionistic connectivesN. N. Nepeivoda 41 An example of an invariant measureA. B. Kharazishvili 44 CYBERNETICS AND THE REGULATION THEORY Fundamental finite controlA. G. Butkovskiy 47 MECHANICS Gauss principle of least constraint for modeling the dynamics of automatic manipulators using a digital computerA. F. Vereshchagin 51 Application of methods of physical kinetics to problems of vibrational action on friable mediaKh. I. Raskin 54 MATHEMATICAL PHYSICS The noncompact algebra $\mathrm{SO}(2,1)$ and the classification of potentials in the Schrödinger equationB. G. Konopelchenko, Yu. B. Rumer 58 Properties of the basis functions of expansions which are invariant under the group $O(4)$B. A. Levitskii, V. M. Mostepanenko, V. M. Frolov 61 PHYSICS Effective cross section of $\mathrm{MgII}$ resonance doublet excitation in electron-ion collisionsV. A. Kel'man, A. I. Dashchenko, I. P. Zapesochnyĭ, A. I. Imre 65 Seniority-classification in the theory of magnetism of molecules and impurity complexes in crystalB. A. Men', A. N. Men' 68 GEOPHYSICS The change in electric conductivity and the radio emission of rocks and minerals during physicochemical processes taking place in themA. A. Vorob'ev, E. K. Zavodovskaya, V. N. Sal'nikov 82 Interpolation thermodynamic of solid bodies under high pressuresV. P. Trubitsyn, V. N. Zharkov, I. A. Tsarevskii 86 CRYSTALLOGRAPHY Crystal structure of $\mathrm{Zn}$-triploiditeP. A. Sandomirskii, M. A. Simonov, N. V. Belov 89