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 Anniversary of the Moscow Mathematical Society 3 Opening address of the special session of the Moscow Mathematical Society on October 20th, 1964P. S. Aleksandrov 4 The Moscow Mathematical Society in the last third of a century (Lecture to the centennial session of the Society, October 20, 1964)A. G. Kurosh 10 The Moscow Mathematical Society in the period 1910–1920D. E. Men'shov 19 Address at the jubilee session of the Moscow Mathematical SocietyL. A. Lyusternik 21 Mathematical problems of quantum field theoryN. N. Bogolyubov 31 New ideas in algebraic topology ($K$-theory and its applications)S. P. Novikov 41 Constructive methods of specifying stochastic processesA. V. Skorokhod 67 Equations in convolutions in a bounded regionM. I. Vishik, G. I. Èskin 89 Optimal control in regular dynamical systemsN. N. Krasovskii 153 Scientific notes and problems $G$-isometric and $J$-semiunitary operators in Hilbert spaceI. S. Iokhvidov 175 Conditions for the differentiability of a norm in a Banach spaceM. I. Kadets 183 On certain properties of typically real functionsV. G. Lozovik 189 The distirbution of nonresidues and primitive roots in recurrence sequences over a field of algebraic numbersV. I. Nechaev, L. L. Stepanova 197 A group of extremal problems for trigonometric polynomialsL. V. Taikov 205 Proof of a geometric theorem of Jung, and its analogue in the theory of stochastic processesT. A. Timan 213 Concerning the postulates of MacLane and Mal'tsev for a class of regular operations on groupsG. G. Shchepin 219 Mathematical Events in the USSR Boris Moiseevich Levitan (photo) Boris Moiseevich Levitan (on his fiftieth birthday)N. I. Akhiezer, V. A. Marchenko 227 Meetings of the Moscow Mathematical Society 235 Abstracts of talks, presented to the Presidium of Moscow Mathematical Society and accepted by the Presidium Radon transform for holomorphic functions of several variables and related integral formulasS. G. Gindikin 237 On topological methods for investigating of solutions for a class of non-linear equationsI. A. Bakhtin 239 Probability properties of subsequences of functionsV. F. Gaposhkin 241 On a singular integrodifferential equationKh. M. Kogan 243 Measurable linear functionals and derivatives in linear spaces with Gaussian measureFan Dyk Tin' 244 Sufficient conditions for the existence and uniqueness of solution of a boundary-value problem for a system of linear partial differential equations involving a small parameter in the higher derivative termI. S. Lyubchenko 247 Meetings of the Leningrad Mathematical Society 251 All-Union Conference on Computational MathematicsN. S. Bakhvalov, A. N. Tikhonov 254 News Defence of Theses in MathematicsN. I. Morkovina 256 International Congress of Mathematicians (1966) 258 Reviews and Bibliography Estonian popular journal on mathematicsE. Ya. Gabovich 259 O. A. Ladyzhenskaya, Mathematical problems in the dynamics of a viscous incompressible fluid (review)A. Ya. Povzner, V. I. Smirnov 261 New books on mathematicsL. P. Kalinina 268