Contents
Doklady Mathematics

Vol. 56, No. 3, 1997

English language translation of the journal is available from / Interperiodica Publishing (Russia). Distributed worldwide
by the American Institute of Mathematics. Doklady Mathematics ISSN 1064-5624.

Translated from Doklady Akademii Nauk, Volume 357, Nos. 1–6, 1997

Volume 56, November–December.

Mathematics

The Algebra of Singular Integral Operators on a Closed Carleson Curve

A. Böttcher and Yu. I. Karlovich p. 813  abstract

Stability of Classes of Conformal Mappings in Additional Dimensions

A. P. Kopylov p. 817  abstract

Cluster Sets of Sequences of Functions

V. I. Kruglikov p. 821  abstract

Conditionally Optimal Interpolation of Random Processes
Defined by Stochastic Differential Equations

I. N. Sinitsyn, V. I. Shin, and Myoungho Oh p. 823  abstract

The Subdifferential of the Maximum of Convex Functions

V. N. Solov’ev p. 828  abstract

The Averaging Principle for Monotonic Generalized Differential Equations

V. L. Khatskevich p. 830  abstract

The Best Approximation of Functions by Algebraic Polynomials

V. A. Abilov p. 833  abstract

The Localization of Random Discrete Measures

L. V. Bogachev p. 836  abstract

The Hilbert and Bessel Inequalities for Systems of Functions

V. D. Budaev p. 840  abstract

Equilibrium with Transferable Costs in Models with Convex Relations

F. A. Gadzhiev p. 844  abstract

Necessary Conditions of Convergence of Averagings with Large Values of the Parameter

N. K. Karapetyants and V. L. Ochirova p. 848  abstract

Transference Theorems and Intuitionistic Set Theory

V. A. Lyubetskii p. 851  abstract

The Problem of the Uniqueness of a Martingale

N. S. Nadirashvili p. 855  abstract

Rigidity for Circle Homeomorphisms with a Break-type Singularity

K. M. Khanin p. 859  abstract

Simple 2-Endomorphisms Whose Set of Nonwandering Points Has a Complicated Structure

V. A. Dobrynskii p. 862  abstract

The Equivalence Problem for Finite Substitutions in a Regular Language

L. P. Lisovik p. 867  abstract

Pairs of Short Root Subgroups in Chevalley Groups

V. V. Nesterov p. 870  abstract

On the Problem of Rational Group Varieties

V. P. Platonov and V. I. Chernousov p. 873  abstract

Measure Spaces

L. Ya. Savel’ev p. 877  abstract

Bifurcations in Nonlinear Systems with Parametric Excitation

Chen Yushu and Xu Jen p. 880  abstract

Hierarchy of Group Algebras Associated with Parametrization
of Fast Algorithms for Discrete Orthogonal Transforms

V. M. Chernov p. 884  abstract

Continuing Solutions to the Helmholtz Equation

Sh. Yarmukhamedov p. 887  abstract

The Dimension of the Polyhedrons of the Best L₁-Approximation

V. F. Babenko, O. V. Polyakov, and V. N. Traktinskaya p. 891  abstract

One-Parameter Families of Self-Similar Solutions to the n-Dimensional Fuller Problem

V. F. Borisov p. 894  abstract

Existence of Global Solutions to Two-Dimensional Navier–Stokes Equations
of a Compressible Viscous Fluid

V. A. Vaigant and A. V. Kazhikhov p. 897  abstract

The Coarseness of Stable Dynamic Systems

S. V. Emel’yanov, S. K. Korovin, and N. A. Bobylev p. 901  abstract

Stabilization of Solutions to the Wave Equation in Domains
with a Perturbed Star-shaped Boundary

L. A. Muravei and A. V. Filinovskii p. 903  abstract

Weight Estimates for a New Class of Volterra Integral Operators

V. S. Rychkov p. 906  abstract

L₂-Conservative Schemes for the Korteweg–de Vries Equation

A. A. Samarskii, V. I. Mazhukin, P. P. Matus, and I. A. Mikhailik p. 909  abstract

The Behavior of Series in Sines with Convex Coefficients in the Vicinity of Zero

S. A. Telyakovskii p. 913  abstract

Free Products of Absolute Galois Groups

Yu. L. Ershov p. 915  abstract

Triviality Problem for Quasi-Geodesic Flows Quadratic in “Velocity”

V. A. Igoshin p. 918  abstract

Decomposition of Sets with a Set Structure over Subordinate Structures

Yu. N. Pavlovskii p. 921  abstract

The Essentially Nonlinear Capacities Induced by Differential Operators

S. I. Pokhozhaev p. 924  abstract

The Iterative Realization of Nonanticipating Multivalued Mappings

A.G. Chentsov p. 927  abstract

Interpolating and Embedding the Functional Spaces and on a Domain

O. V. Besov p. 931  abstract

Multidimensional Variant of the Komlós–Major–Tusnády Results
for Vectors with Finite Exponential Moments

A. Yu. Zaitsev p. 935  abstract

The Uniqueness and Regularity of Generalized Solutions to Variational Problems
of Phase Equilibrium in Solid Bodies

G. A. Seregin p. 938  abstract

The p-Adic Classification of Fractals and Chaos

A. Yu. Khrennikov p. 941  abstract

Relaxations of Stochastic Constraints in the Class of Finitely Additive Probabilities

A. G. Chentsov p. 945  abstract

Mathematical Physics

Construction of the Inhomogeneity Indicator for a Medium under Irradiation

D. S. Anikonov p. 949  abstract

Nonlinear Flutter in the Classical Telegraph Equation
with One Nonclassical Nonlinear Boundary Condition

Yu. S. Kolesov p. 953  abstract

Visible and Invisible Media in Tomography

D. S. Anikonov, V. G. Nazarov, and I. V. Prokhorov p. 955  abstract

The Divergence Problem in the Quantum Field Theory

V. P. Maslov and O. Yu. Shvedov p. 959  abstract

Diagnostics of Closely Spaced Wave Field Sources
with the Use of Iterative and Descriptive Regularization

S. M. Zerkal’ p. 964  abstract

Computer Science

Bayesian Approach to the Prediction Problem Based on Expert Information and a Data Table

G. S. Lbov and V. M. Nedel’ko p. 967  abstract

A Problem of Robustness Theory

S. V. Emel’yanov, S. K. Korovin, and N. A. Bobylev p. 971  abstract

Control Theory

Dynamics of Continuously Controlling Rod Temperature as a Singularly Perturbed Problem

Yu. S. Kolesov and A. S. Rudyi p. 974  abstract

Moving Approximation and the Absorption Principle

Ya. Z. Tsypkin p. 976  abstract

Author Index to Vols. 55 and 56, 1997 978 –

Contents of Doklady Mathematics, Vols. 55 and 56, 1997 982 –

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