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 MATHEMATICS Duality in the spaces of holomorphic functions with singularitiesV. D. Golovin 9 An integral functional and its normV. A. Gusev 13 Certain properties of generalized solutions of parabolic equations of the second orderA. V. Ivanov, O. A. Ladyzhenskaya, A. L. Treskunov, N. N. Ural'tseva 17 Distribution of eigenvalues of singular differential operatorsA. G. Kostyuchenko 21 Solution of the Hardy–Littlewood problem and its indeterminate analogue in sectors and contoursA. A. Polyanskii 25 The first boundary value problem for a class of equations and systemsV. R. Portnov 28 Generalized normal correlation and two-dimensional Fréchet classesO. V. Sarmanov 32 A minimax problem in the theory of cubature formulaeV. D. Charushnikov 36 Non-trivial constructive mappings of certain setsV. A. Shurygin 40 FLUID MECHANICS Hydrodynamic stability of a spherical flameA. G. Istratov, V. B. Librovich 43 Rigorous theory of steady waves at a free surface and the surface of separation between two liquidsSinkha S. R. P. 47 THEORY OF ELASTICITY Energy analysis of the liability of metals to be damaged when strained at high temperaturesV. S. Ivanova, Yu. I. Ragozin, N. A. Vorob'ev 51 ASTRONOMY Intensity fluctuations of radiowave emission from quasistellar source 3C-48, observed at inhomogeneities of interstellar plasmaV. V. Vitkevich, T. D. Antonova, V. I. Vlasov 55 PHYSICS Electron spin resonance of $\mathrm{Mn}^{2+}$ ions in $\mathrm{Tl}_2\mathrm{SeAs}_2\mathrm{Se}_3$L. D. Bogomolova, V. N. Lazukin, I. V. Chepeleva 59 The influence of the radiation damping on the motion of a relativistic particle in a homogeneous magnetic fieldG. E. Gernet 63 Instability of a non-uniform distribution of current and fieldL. E. Gurevich, V. I. Ioffe 65 Luminescence of chlorophyll when excited by rudy laserG. I. Kobyshev, G. N. Lyalin, A. N. Terenin 68 The conditions of multimodal generation as influenced by the diffusion of excitationB. L. Livshits, S. N. Stolyarov, V. N. Tsikunov 72 Stability of magnetic surfacesL. S. Solov'ev 76 CRYSTALLOGRAPHY Neutron diffraction study of the magnetic structure of hexagonal ferrites in the $\mathrm{Co}_xW$ systemR. A. Sizov, I. I. Yamzin 90