20 Lectures Delivered at the International Congress of Mathematicians in Vancouver, 1974 |
Contents
| 1 | |
SOME QUESTIONS OF THE BIRATIONAL GEOMETRY OF ALGEBRAIC TORI | 5 |
TRIGONOMETRIC SUMS AND THEIR APPLICATIONS | 9 |
AN ELEMENTARY METHOD IN THE THEORY OF EQUATIONS OVER FINITE FIELDS | 13 |
ARITHMETICAL AND STRUCTURAL PROBLEMS IN LINEAR ALGEBRAIC GROUPS | 21 |
THE GEOMETRY OF POSITIVE QUADRATIC FORMS | 27 |
DISCRETE GROUPS OF MOTIONS OF MANIFOLDS OF NONPOSITIVE CURVATURE | 33 |
A SURVEY OF DIMENSION THEORY | 47 |
ANALYTIC SOLUTIONS OF EQUATIONS WITH VARIATIONAL DERIVATIVES AND THEIR APPLICATIONS | 71 |
GEODESICS IN FINSLER GEOMETRY | 81 |
ON THE BEHAVIOR OF HAMILTONIAN SYSTEMS NEAR INTEGRABLE ONES | 87 |
CONTROL UNDER CONDITIONS OF CONFLICT AND INDETERMINACY | 91 |
STABILITY THEORY OF DIFFERENCE SCHEMES AND ITERATIVE METHODS | 97 |
NUMERICAL METHODS IN DIFFRACTION THEORY | 102 |
INDUCTIVE INFERENCE OF AUTOMATA FUNCTIONS AND PROGRAMS | 107 |
STOCHASTIC DYNAMIC MODELS OF ECONOMIC EQUILIBRIUM | 113 |
SOME EXTREMAL PROBLEMS IN APPROXIMATION THEORY | 51 |
COMPLEX HARMONIC ANALYSIS ON SEM1SIMPLE LIE GROUPS | 59 |
ON THE REPRESENTATION OF ANALYTIC FUNCTIONS BY DIRICHLET SERIES | 65 |
CURRENT STUDIES IN THE HISTORY OF MATHEMATICS IN THE SOVIET UNION | 119 |
Common terms and phrases
Akad algebraic groups algorithm Amer American Mathematical Society AMS MOS analytic approximation arbitrary arithmetic arithmetic subgroups Armand Borel asymptotic Borel coefficients compact compact space Comput congruence construct convex denote differential dimension Dirichlet series Dokl domain equations estimate exists finite groups Finsler Finsler geometry Finsler metrics formulation Fourier geodesic geodesic flow geometry history of mathematics Inst integral invariant irreducible Jacques Tits lattice Let G Lie group linear manifolds mapping method metric motions x(t n-dimensional n₁ Nauk SSSR obtained operator p-adic polynomial positive quadratic forms problem proof proved quadratic forms rational recursive functions representation Riemannian Russian S. S. Ryškov satisfies scheme semisimple simple groups solution Soviet Math space stable Steklov subgroup subject classifications 1970 subspace sums Sylow 2-subgroups theorem theory tion tori transl USSR USSR Izv USSR Sb vector zero