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 MATHEMATICS Recurrence relations and variational inequalitiesYa. I. Al'ber 11 Scattering matrices in the teory of dilations of isometric operatorsD. Z. Arov, L. Z. Grossman 17 On the theory of self-dual $\mathrm{SU}(3)$ gauge fieldsA. V. Bitsadze 21 Integral representation of the Bergman kernel function and the Ramadanov conjectureD. Boichu, G. Cœuré 23 On the stability of difference schemes for ill-posed problemsA. L. Bukhgeim 26 On higher-order methods for solving operator equationsF. P. Vasil'ev, L. N. Khromova 28 On some problems of linear regularizabilityV. A. Vinokurov, E. N. Domanskii, L. D. Menikhes, A. N. Plichko 31 Fundamental tetrahedra in Euclidean and Lobachevsky spacesI. K. Zhuk 35 On a theorem of A. StoneA. P. Kombarov 38 A functional central limit theorem for semimartingales with values in Hilbert spaceV. V. Lavrentyev 41 Torsion in the group $K_{2}$ for a local fieldA. S. Merkur'ev 45 Domains of Korkin–Zolotarev reduction of positive quadratic forms in $n\leq8$ variables and reduction algorithms for these domainsN. V. Novikova 48 Difference imbedding theorems for Sobolev spaces with weights and their applicationsE. S. Smailov 52 New congruences in the topology of real plane algebraic curvesT. Fidler 56 Asymptotics of the solutions of a nonlinear Hilbert problemM. A. Èfendiev 58 MECHANICS Paradoxes in the mechanics due to the vibrationsV. N. Chelomey 62 GEOPHYSICS Two types of calm in the seismo acoustic forecastA. A. Berdyev, V. A. Mukhamedov 68 Changes of geomagnetic field connected with seismic activity in the Tashkent geodynamic regionG. A. Mavlyanov, Yu. P. Tsvetkov, E. Berdaliev, K. N. Abdullabekov 72 On the interrelation between the earthquake magnitude and thermodynamic parameters in seismic focusL. I. Tuliani 74 MATHEMATICAL PHYSICS Solution of a classical problem of electrostatics and the subtraction procedureD. Ya. Petrina 78 Inverse problem of linear multivelocity transport theoryD. A. Shulaya 82 PHYSICS Cooling of electron gas of a metal at high temperatureYu. V. Martynenko, Yu. N. Yavlinskii 88 CRYSTALLOGRAPHY On the interconnection between ground- and additional phases. Binary diagrams formed by transition elementsN. L. Smirnova, È. M. Berzon, Yu. S. Konyaev, N. V. Belov 97