Generalized Liouville differentiation and the method of multiplicators in imbedding theory for function classes

Author's review of his dissertation for the degree of doctor of the physico-mathematical sciences. Dissertation defended May 23, 1968, at the Mathematical Institute of the Academy of Sciences of the USSR.Official opponents: Doctor of Phys.-Math Sciences V. P. Il'in, Doctor of Phys.-Math Sciences I. A. Kipriyanov, and Doctor of Phys.-Math Sciences L. N. Slobodetskii.Translated from Matematicheskie Zametki, Vol. 4, No. 4, pp. 467–482, October, 1968.     

Investigations of multidimensional,infinite-dimensional and limit theorems of the theory of probabilities

Author's abstract of a dissertation in competition for the scientific degree of Doctor of Physical-Mathematical Sciences. The dissertation was defended on May 30, 1968 at a meeting of the Scientific Council of the V. A. Steklov Mathematical Institute, Academy of Sciences of the USSR. The official opponents were: V. S. Korolyuk, Corresponding Member, Academy of Sciences of the Ukrainian SSR, A. V. Skorokhod, Corresponding Member, Academy of Sciences of the Ukrainian SSR, and V. A. Statulyavichus, Doctor of Physical-Mathematical Sciences.Translated from Matematicheskie Zametki, Vol. 4, No. 5, pp. 611–619, November, 1968.     

Convolution equations in multidimensional spaces

Author's abstract of a dissertation for the degree of Doctor of Physicomathematical Sciences. The dissertation was defended on Nov. 10, 1977, at the session of the Specialized Council D 002.38.03 at the V. A. Steklov Mathematics Institute of the Academy of Sciences of the USSR. Official opponents: Corresponding Member of the Academy of Sciences of the USSR, Doctor of Physicomathematical Sciences, Professor A. G. Vitushkin; Corresponding Member of the Academy of Sciences of the USSR, Doctor of Physicomathematical Sciences, Professor V. K. Ivanov; Doctor of Physicomathematical Sciences, Professor Yu. F. Korobeinik.Translated from Matematicheskie Zametki, Vol. 25, No. 5, pp. 761–774, May, 1979.     

Investigation of boundary value problems for elliptic systems of first order

This paper is the author's abstract of a dissertation submitted for the degree of Doctor of Physicomathematical Sciences. The dissertation was defended November 2, 1972 at a session of the Scientific Council of the V. A. Steklov Mathematical Institute of the Academy of Sciences, USSR. Official referees: Corresponding Member of the Academy of Sciences of the USSR Professor A. V. Bitsadze, Corresponding Member of the Academy of Sciences of the USSR Professor M. M. Lavrent'ev, and Doctor of Physicomathematical Sciences, Professor P. I. Lizorkin.Translated from Matematicheskie Zametki, Vol. 14, No. 2, pp. 291–304, August, 1973.     

Investigations in the theory of Stochastic equations

This is the author-review of a dissertation presented in the competition of the degree of the Doctor of Physicomathematical Sciences. The dissertation was defended on February 27, 1975 at a meeting of the Scientific Council of V. A. Steklov Mathematics Institute of the Academy of Sciences of the USSR. The official opponents were: A. A. Borovkov, Corresponding Member of the Academy of Sciences of the USSR; A. V. Skorokhod, Corresponding Member of the Academy of Science of the Ukrain. SSR, and V. N. Sudakov, Doctor of Physicomathematical Sciences.Translated from Matematicheskie Zametki, Vol. 20, No. 1, pp. 147–159, July, 1976.     

Isometric imbedding in E3 of noncompact domains of nonpositive curvature

Author's abstract of a dissertation for the degree of Doctor of Physicomathematical Sciences. The dissertation was defended on Oct. 21, 1977, at a session of the Specialized Council D 002.38.02 at the V. A. Steklov Mathematics Institute of the Academy of Sciences of the USSR. Official opponents: Academician of the Academy of Sciences of the USSR, Doctor of Physicomathematical Sciences A. V. Pogorelov; Professor, Doctor of Physicomathematical Sciences É. G. Poznyak; Professor, Doctor of Physicomathematical Sciences A. S. Fedenko.Translated from Matematicheskie Zametki, Vol. 25, No. 5, pp. 785–797, May, 1979.     

Random flows generated by random processes (properties of random flows,level-crossing problems)

Author's summary of a dissertation submitted for the degree of Doctor of Physicomathematical Sciences. The dissertation was defended February 10, 1970, at a meeting of the Scientific Council of the Institute of Applied Mathematics, Academy of Sciences of the USSR. Official opponents: B. V. Gnedenko, Academician of the Academy of Sciences of the USSR, Yu. V. Prokhorov, Corresponding Member of the Academy of Sciences of the USSR, and N. N. Chentsov, Doctor of Physicomathematical Sciences.Translated from Matematicheskie Zametki, Vol. 8, No. 3, pp. 393–407, September, 1970.     

Diophantine representation of enumerable predicates

This paper is the author's abstract of dissertation in partial fulfillment of the requirements for the degree of Doctor of Physicomathematical Sciences. The dissertation was defended on February 24, 1972 at a session of the faculty council of the V. A. Steklov Mathematics Institute, Academy of Sciences of the SSSR. The official opponents were: Doctor of Physicomathematical Sciences S. I. Adyan; Corresponding Member of the Academy of Sciences of the USSR Yu. L. Ershov; and Corresponding Member of the Academy of Sciences of the USSR D. K. Faddeev.Translated from Matematicheskie Zametki, Vol. 12, No. 1, pp. 115–120, July, 1972.     

On the theory of linear systems of ordinary differential equations

Author's abstract of dissertation for the attainment of the scientific degree of Doctor of the Physical and Mathematical Sciences. Dissertation defended May 24, 1968 at the sitting of the Council of the Mechanical and Mathematical Faculty of the M. V. Lomonosov State University.Official opponents: Doctor of the Physical and Mathematical Sciences D. V. Anosov, Doctor of the Physical and Mathematical Sciences Professor R. é Vinograd, and Doctor of the Physical and Mathematical Sciences Professor Ya. G. Sinai.Translated from Matematicheskie Zametki, Vol. 4, No. 4, pp. 483–490, October, 1968.     

Branching processes

Author's abstract of a thesis for the attainment of the academic degree of Doctor of Physics and Mathematics. The thesis was defended on April 25, 1968 at a meeting of the Scientific Council of the V. A. Steklov Mathematical Institute, Academy of Sciences of the USSR. Official opponents: Academician A. N. Kolmogorov, Yu. V. Prokhorov, Corresponding Member of the Academy of Sciences of the USSR, and Prof. Yaglom, Doctor of Physics and Mathematics.Translated from Matematicheskie Zametki, Vol. 4, No. 2, pp. 239–251, August, 1968.     

General theory of statistical decisions

Author's abstract of the dissertation submitted in partial fulfillment of the requirements for the degree of Doctor of Physical-Mathematical Sciences. The dissertation was defended on January 21, 1969 at the Scientific Council of the Institute of Applied Mathematics of the Academy of Sciences of the SSSR. The official opponents of the thesis were: Academician Yu. V. Linnik, Corresponding Member of the Academy of Sciences SSSR A. A. Lyapunov, Academician of the Academy of Science USSR B. V. Gnedenko, and Doctor of Physical-Mathematical Sciences Professor F. I. Karpelovich.Translated from Matematicheskie Zametki, Vol. 5, No. 5, pp. 635–648, May, 1969.     

An analytic form of differential equations

A review by the author of his dissertation presented for the academic degree of Doctor of Physico-Mathematical Sciences. This dissertation was defended on May 13, 1969 before the Academic Committee of the Institute of Applied Mathematics of the Academy of Sciences of the USSR. The official challengers were the following Doctors of Physico-Mathematical Sciences: Professor V. I. Arnol'd, Professor V. A. Pliss, and Professor V. V. Rumyantsev.Translated from Matematicheskie Zametki, Vol. 6, No. 6, pp. 771–778, December, 1969.     

Free alternative algebras

The author's abstract of a dissertation submitted as a requirement for the advanced degree of Doctor of Physicomathematical Sciences. The dissertation was defended on Feb. 2, 1978, at a session of the Specialized Council D 002.23.01 of the Institute of Mathematics, Siberian Branch, Academy of Sciences of the USSR. The official examiners were: Corresponding Member of the Academy of Sciences of the USSR, Doctor of Physicomathematical Sciences A. I. Kostrikin; Doctor of Physicomathematical Sciences V. D. Mazurov; Doctor of Physicomathematical Sciences Yu. M. Ryabukhin.Translated from Matematicheskie Zametki, Vol. 25, No. 5, pp. 775–783, May, 1979.The author would llke to express his sincere gratitude to A. I. Shirshov for his unfailing interest and total support. The author is particularly indebted to his teacher, K. A. Zhevlakov, who greatly influenced his scientific interests.     

Classes of functions and Fourier coefficients with respect to complete orthonormal systems

This is the author review of a dissertation presented in the competition for the academic degree of Doctor of Physicomathematical Sciences. The dissertation was defended on October 10, 1974 in a meeting of the academic council of the V. A. Steklov Mathematics Institute of the Academy of Sciences of the USSR. The official opponents were: A. A. Talalyan, Corresponding Member of the Academy of Sciences of the Armenian SSR; N. P. Kuptsov, Doctor of Physicomathematical Sciences; and E. M. Nikishin, Doctor of Physicomathematical Sciences.Translated from Matematicheskie Zametki, Vol. 20, No. 3, pp. 445–463, September, 1976.     

Partitions and centralizers in the theory of finite groups

This paper is the author's abstract of a dissertation for the degree of Doctor of Physicomathematical Sciences. The dissertation was defended on February 10, 1969 at a united council for adjudicating academic degrees in mathematical sciences at the A. M. Gor'kii Urals State University. Official opponents: Corresponding Member of the Academy of Sciences of the USSR M. I. Kargapolov, Corresponding Member of the Academy of Sciences of the Ukrainian SSR S. N. Chernikov, Doctor of Physicomathematical Sciences Professor B. I. Plotkin, and Doctor of Physicomathematical Sciences V. S. Charin.Translated from Matematicheskie Zametki, Vol. 6, No. 4, pp. 499–511, October, 1969.     

Approximations relative to Hausdorff distance

The present paper is an abstract of a dissertation submitted in partial fulfillment of the requirements for the degree of Doctor of Physical and Mathematical Sciences. The dissertation was defended on November 30, 1967 before the faculty of the V. A. Steklov Mathematical Institute of the Academy of Sciences of the USSR. The official opponents were Professors N. P. Korneichuk, P. P. Korovkin, and S. B. Stechkin, Doctors of Physical and Mathematical Sciences.     

Finite-dimensional perturbations of Volterra operators

This paper is a review by the author of his dissertation, presented in competition for the academic degree of Doctor of Physicomathematical Sciences. This dissertation was defended on December 20, 1973 at the Scientific Council of the Institute of Mathematics, Siberian Branch, Academy of Sciences of the USSR. The examining committee consisted of Professor A. G. Kostyuchenko, Doctor of Physicomathematical Sciences; Professor A. F. Leont'ev, Corresponding Member of the Academy of Sciences of the USSR; and Professor M. K. Fage, Doctor of Physicomathematical Sciences.Translated from Matematicheskie Zametki, Vol. 16, No. 4, pp. 669–680, October, 1974.     

Some extremal problems of theory of quadrature and approximation of functions

This is the author-review of the dissertation presented for the degree of the Doctor of Physicomathematical Sciences. The dissertation was defended on March 13, 1975 in a meeting of the scientists of the V. A. Steklov Mathematics Institute of the Academy of Sciences of the USSR. The official opponents were Doctor of Physicomathematical Sciences Prof. N. S. Bakhvalov, Doctor of Physicomathematical Sciences Prof. P. K.Suetin, and Doctor of Physicomathematical Sciences Prof. S. B. Stechkin.Translated from Matematicheskie Zametki, Vol. 19, No. 2, pp. 299–311, February, 1976.     

Studies in the matrix representability of abstract groups and in matrix groups

The author presents a summary of his dissertation in competition for the academic degree Doctor of Physicomathematical Sciences. The dissertation was defended on April 26, 1972, before the Academic Council of the Institute of Mathematics, Siberian Branch, Academy of Sciences of the USSR. The official opponents were Prof. D. M. Smirnov (Doctor of Physicomathematical Sciences), Prof. A. I. Starostin (Doctor of Physicomathematical Sciences of the Belorussian SSR and Doctor of Physicomathematical Sciences), and Prof. A. I. Shirshov (Corresponding Member of the Academy of Sciences of the USSR and Doctor of Physicomathematical Sciences).Translated from Matematicheskie Zametki, Vol. 14, No. 4, pp. 597–606, October, 1973.     

Spaces of kinematic type

The present paper is based on the author's dissertation for the degree of Doctor of Mathematical Physics. The dissertation was defended on November 27, 1969, at a meeting in the V. A. Steklov Institute of Soviet Mathematics, Academy of Sciences of the USSR. The official referees were Academician A. D. Aleksandrov, Doctor of Mathematical Physics, Professor Yu. F. Borisov, and Doctor of Mathematical Physics, Professor V. A. Efremovich.Translated from Matematicheskie Zametki, Vol. 7, No. 5, pp. 641–653, May, 1970.