Contents
Doklady Mathematics

Vol. 66, No. 1, 2002

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

Translated from Doklady Akademii Nauk, Volume 385, Nos. 1–6, 2002

Volume 66, July–August.

Mathematics

On Best Approximation Properties of Infinitely Differentiable Functions
on a Finite Interval

V. N. Belykh p. 1  abstract

Sharp Jackson–Stechkin Inequality in L₂ with the Modulus of Continuity Generated
by an Arbitrary Finite-Difference Operator with Constant Coefficients

S. N. Vasil’ev p. 5  abstract

Hierarchical Bases in Reflexive Banach Spaces and Optimal Cubature Formulas

V. L. Vaskevich p. 9  abstract

On the Singularities of the Root Space of One Spectral Problem
with a Spectral Parameter in the Boundary Condition

E. I. Moiseev and N. Yu. Kapustin p. 14  abstract

On One Problem of Stocker

A. V. Pogorelov p. 19  abstract

Birational Geometry of Higher-Dimensional Fano Hypersurfaces

A. V. Pukhlikov p. 22  abstract

Uniqueness of a Solution to a General Noncooperative Game

E. R. Smol’yakov p. 25  abstract

On a Sufficient Condition for Everywhere -Regularity of Solutions
to Systems of Nonlinear lth-Order Differential Equations

A. P. Kopylov p. 29  abstract

Solution of the Cauchy Problem for an Ultrahyperbolic Equation of Dimension 3 by 2

D. P. Kostomarov p. 33  abstract

Recovery of the Singularities of a Potential in the Two-Dimensional Schrödinger
Operator from Fixed-Angle Scattering Data

V. S. Serov p. 37  abstract

The Lamé System of Anisotropic Elasticity on the Plane

A. P. Soldatov p. 40  abstract

On Implementation of the Method of Program Iterations in Multifunction Spaces

A. G. Chentsov p. 45  abstract

On Conditions for the m-Sectoriality and Quasi-m-Accretivity
of Minimal Representations of Matrix Differential
and Pseudodifferential Expressions

K. Kh. Boimatov and M. G. Gadoev p. 49  abstract

Complexity of Categorical Theories with Computable Models

S. S. Goncharov and B. Kh. Khusainov p. 52  abstract

On the Convexity of the Images of Convex Sets under Smooth Mappings

S. V. Emel’yanov, S. K. Korovin, and N. A. Bobylev p. 55  abstract

Exponential Convergence of Motions of an Uncertain System

Yu. A. Martynyuk-Chernienko p. 58  abstract

Inverse Problem for the Lamé System of Differential Equations

Yu. E. Anikonov and M. Yamamoto p. 62  abstract

Stable Bundles on Minimal Rational Surfaces and the Cremona Group

I. V. Artamkin p. 66  abstract

Integral Representation of Holomorphic Semigroups Generated
by Strongly Positive Matrix Pseudodifferential Operators on Compact Manifolds

M. G. Gadoev p. 72  abstract

Regular Representations of the Central Extension of the Group of Diffeomorphisms of a Circle

A. V. Kosyak and R. Léandre p. 75  abstract

Elementary Quantized Thermodynamics in Standard Probability Schemes

V. P. Maslov p. 78  abstract

On the Problem of Continuation of Analytic Functions

V. V. Napalkov p. 82  abstract

Three-Webs Determined by Transformation Groups

G. A. Tolstikhina and A. M. Shelekhov p. 84  abstract

Graded Lie Algebras That Define Hyperelliptic Sigma Functions

V. M. Buchstaber and D. V. Leykin p. 87  abstract

The Banach-Saks Property for Function Spaces

P. G. Dodds, E. M. Semenov, F. A. Sukochev, and C. Franchetti p. 91  abstract

Homogenization of Elasticity Problems on Periodic Lattices of Critical Thickness

V. V. Zhikov and S. E. Pastukhova p. 94  abstract

Classification of Borel Sets and Functions for an Arbitrary Space

V. K. Zakharov p. 99  abstract

On a Remarkable Implication of Malyshev’s Formula

Kh. D. Ikramov and A. M. Nazari p. 102  abstract

The Simplest Equivalent of the Riemann Hypothesis

A. F. Lavrik and A. A. Lavrik-Mennlin p. 104  abstract

On the Cauchy Problem for Differential-Difference Equations of the Parabolic Type

A. B. Muravnik p. 107  abstract

The Algebra of Canonical Affinor Structures and Classes of Regular -Spaces

V. V. Balashchenko p. 111  abstract

Divergence of Multiple Orthogonal Series

M. I. D’yachenko and K. S. Kazaryan p. 115  abstract

Problem of Characterization of Radon Integrals

V. K. Zakharov p. 118  abstract

Global Lyapunov Functionals of the Equations for One-Dimensional Motion
of Viscous Heat-Conducting Gas

A. A. Zlotnik p. 121  abstract

Mathematical Physics

Collapse of Keldysh Chains and the Stability of Nonconservative Systems

O. N. Kirillov and A. P. Seyranian p. 127  abstract

The Method of Extended Boundary Conditions and Wavelets

A. G. Kyurkchan and A. P. Anyutin p. 132  abstract

A Method of Searching for Surface Waves in Diffraction Gratings

V. E. Grikurov, E. Heikkola, P. Neittaanmäki, and B. A. Plamenevskii p. 136  abstract

Instability of Eigenvalues Embedded in the Waveguide’s Continuous Spectrum
with Respect to Perturbations of Its Filling

A. N. Bogolyubov, M. D. Malykh, and A. G. Sveshnikov p. 140  abstract

Control Theory

Continuous Feedback Control of Mechanical Systems Subjected to Disturbances

I. M. Ananievskii p. 143  abstract

Exact Solutions to the Hamilton–Jacobi–Bellman Equation for Optimal Correction
with an Integral Constraint on the Total Resource of Control

A. S. Bratus’ and K. A. Volosov p. 148  abstract

Computer Science

Application of Atomic Functions for Restoring Signals with
a Compactly Supported Spectrum

V. F. Kravchenko and M. A. Basarab p. 152  abstract

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