Contents
Doklady Mathematics

Vol. 60, No. 1, 1999

English language translation of the journal is available from “ / Interperiodica” (Russia).
Doklady Mathematics ISSN 1064–5624.

Translated from Doklady Akademii Nauk, Volume 367, Nos. 1–6, 1999

Volume 60, July–August.

Doklady in the History of the Russian Academy of Sciences p. 1  abstract

Mathematics

A Time Estimator in the Monte Carlo Method

G. A. Mikhailov and A. V. Burmistrov p. 3  abstract

Large Deviations in Banach Spaces of Continuous Functions and Their Applications

E. I. Ostrovskii p. 7  abstract

Local Approximations by Solutions of Hypoelliptic Equations and Removable Singularities

A. V. Pokrovskii p. 11  abstract

C*-Algebras Generated by Almost Periodic Many-Dimensional Singular Integral Operators
and Toeplitz Operators with Discontinuous Presymbols
and a Formula for the Index of Noetherian Operators

Zh. Radulovich p. 14  abstract

On General Boundary Value Problems for Elliptic Equations

B. Yu. Sternin, V. E. Shatalov, B.-W. Schulze p. 19  abstract

Differential Forms on Infinite-Dimensional Spaces and an Axiomatic Approach
to the Stokes Formula

H. von Weizsacker and O. G. Smolyanov p. 22  abstract

The Sobolev Theorem for Anisotropic Riesz–Bessel Potentials in Morrey–Bessel Spaces

V. S. Guliev p. 26  abstract

B-Splines of Arbitrary Degree

N. N. Kalitkin and N. M. Shlyakhov p. 28  abstract

Kolmogorov Reduction and Consistency

A. S. Kuzichev p. 32  abstract

Asymptotic Properties of Solutions to the Hele–Shaw Equation

O. S. Kuznetsova and V. G. Tkachev p. 35  abstract

Bounded Solutions to the Schrödinger Equation on Noncompact Riemannian Manifolds
of a Special Form

A. G. Losev and E. A. Mazepa p. 37  abstract

A Method for Reducing Families of Matrices to Normal Forms

A. A. Mailybaev p. 39  abstract

On the Solution of the Optimal Control Problem by Variational Methods

M. M. Khapaev p. 44  abstract

Paths and Cycles as Tools for Characterizing Some Classes of Matrices

D. O. Logofet p. 46  abstract

Exact Solutions to Thermal Boundary Layer Equations for Nonlinearly Viscous Liquids

V. N. Monakhov p. 50  abstract

The Atiyah–Bott–Lefschetz Formula for Elliptic Operators on Manifolds
with Conical Singularities

V. E. Nazaikinskii, B. Yu. Sternin, V. E. Shatalov, and B.-W. Schulze p. 54  abstract

On the Inverse Problem of Spectral Analysis for the Power
of the Laplace Operator with a Potential

V. A. Sadovnichii, V. V. Dubrovskii, and E. A. Puzankova p. 58  abstract

Accuracy Enhancement in Difference Schemes on Spatially Nonuniform Grids

A. A. Samarskii, V. I. Mazhukin, D. A. Malafei, and P. P. Matus p. 61  abstract

On the Classification of Post Automaton Bases according to the Decidability
of the Completeness and A-Completeness Problems

D. N. Babin p. 65  abstract

The Special Features of the Bifurcation Problem for the Wave Equation in a Narrow Gap

Yu. S. Kolesov p. 68  abstract

Burnside Labels and Solution of Two Borevich’s Problems on Polynormal Subgroups

V. I. Mysovskikh p. 71  abstract

Quantization of Canonical Transformations on Manifolds with Conic Singularities

V. E. Nazaikinskii, B. Yu. Sternin, V. E. Shatalov, and B.-W. Schulze p. 73  abstract

Linear Isometry Groups of Privalov’s Spaces of Holomorphic Functions of Several Variables

A. V. Subbotin p. 77  abstract

On One Linear Differential System

M. Shirinbekov p. 80  abstract

On the Boundary Properties of Multiweight Spaces

B. L. Baidel’dinov p. 83  abstract

Explicit Representation for the Scattering Matrix of the One-Dimensional Schrödinger Operator

V. A. Vinokurov p. 86  abstract

Adaptive Schemes for the Monte Carlo Method of an Enhanced Accuracy

V. M. Ivanov, M. L. Korenevskii, and O. Yu. Kul’chitskii p. 90  abstract

The Asymptotic Behavior of Approximation Numbers and Estimates
of the Schatten–von Neumann Norms for the Hardy Integral Operator

E. N. Lomakina and V. D. Stepanov p. 94  abstract

Spectral Boundary Value Problems and Elliptic Equations on Manifolds with Singularities

V. E. Nazaikinskii, B. Yu. Sternin, V. E. Shatalov, and B.-W. Schulze p. 97  abstract

Regularized Traces of Boundary Value Problems in the Case
When the Characteristic Polynomial Has Multiple Roots

A. S. Pechentsov p. 100  abstract

-Projectively-Invariant Measures for Groups of Orientation-Preserving
Homeomorphisms of the Line

L. A. Beklaryan p. 103  abstract

On Functional Spaces Determined by Pseudodifferential Operators

O. V. Besov p. 106  abstract

On the Radial Property of Solutions to Nonlinear Elliptic Equations in R²

A. V. Domrin p. 110  abstract

Geodesic Equivalence of Metrics on Surfaces and Their Integrability

V. S. Matveev and P. I. Topalov p. 112  abstract

Analogues of Borg’s Uniqueness Theorem in the Case of Nonseparated Boundary Conditions

V. A. Sadovnichii, Ya. T. Sultanaev, and A. M. Akhtyamov p. 115  abstract

On the Comparison of Boolean Bases

D. Yu. Cherukhin p. 118  abstract

Mathematical Physics

Feynman–Kac Formulas for Evolution Differential Equations with White-Noise-Type Coefficients

S. Albeverio and O. G. Smolyanov p. 120  abstract

On the Applicability of the Averaging Method to the Cauchy Problem
for the Equation u_t = (uu_x)_x + u

V. A. Belavin and S. P. Kurdyumov p. 125  abstract

Boundary Equations with a Discontinuously Acting Dihedral Group
in Boundary-Value Problems with Rotational Symmetry

E. V. Zakharov, S. I. Safronov, and R. P. Tarasov p. 129  abstract

Asymptotics of Solutions to the Navier–Stokes Equations
in the Exterior of a Bounded Body

S. A. Nazarov and K. I. Pileckas p. 133  abstract

An Effective Method for Computing Natural Frequencies
of a Membrane with a Polygonal Boundary

I. B. Simonenko p. 136  abstract

Computer Science

Methods of Optimization and Monotone Correction in the Algebraic Approach
to the Recognition Problem

K. V. Rudakov and K. V. Vorontsov p. 139  abstract

Microcontinuous Atomic-Level Motions of Functional Systems

V. F. Yakovlev p. 143  abstract

Control Theory

Pareto Optimal Noncooperative Equilibriums

Yu. G. Evtushenko and E. R. Smol’yakov p. 145  abstract

Synthesis of Self-Oscillating Systems with a Continuous Excitation Source

M. Ya. Izrailovich p. 148  abstract

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