Contents
Doklady Mathematics

Vol. 75, No. 1, 2007

English language translation of the journal is available from Pleiades Publishing, Ltd.
Distributed worldwide by Springer. Doklady Mathematics ISSN 1064–5624.

Translated from Doklady Akademii Nauk, Volume 412, Nos. 1–6, 2007

Volume 75, January–February.

Mathematics

Induced Representations of the Infinite Symmetric Group and Their Spectral Theory

A. M. Vershik and N. V. Tsilevich p. 1  abstract

Inversion of the Kipriyanov–Radon Transform by Means
of Grünwald–Letnikov–Riesz Fractional Differentiation

E. G. Gotz and L. N. Lyakhov p. 5  abstract

Construction of Irredundant Coverings of a Boolean Matrix

E. V. Djukova p. 9  abstract

The Basis Properties of Eigenfunctions in the Eigenvalue Problem
with a Spectral Parameter in the Boundary Condition

N. B. Kerimov and Z. S. Aliev p. 12  abstract

The Dirichlet Problem in Zygmund Spaces in a Square

A. N. Konenkov p. 16  abstract

Solvability of the Inverse Sturm–Liouville Problem with Indecomposable Boundary Conditions

V. A. Sadovnichii, Ya. T. Sultanaev, and A. M. Akhtyamov p. 20  abstract

A Modified Version of the Stein–Chen Method and a Nonclassical Limit Theorem
on Convergence to a Poisson Distribution

Sh. K. Formanov and L. D. Sharipova p. 23  abstract

On the Vertex Number of Almost Bipartite Hypergraphs

D. A. Shabanov p. 25  abstract

Existence Theorems for a Three-Dimensional Ocean Dynamics Model
and a Data Assimilation Problem

V. I. Agoshkov and V. M. Ipatova p. 28  abstract

A Continuous Analogue of Gelfand–Tsetlin Schemes and a Realization
of the Principal Series of Irreducible Unitary Representations
of the Group GL(n, ) in the Space of Functions
on the Variety of These Schemes

M. I. Graev p. 31  abstract

Approximation of an Exponential Sum by a Shorter One

A. A. Karatsuba and M. A. Korolev p. 36  abstract

General B-Hypersingular Integrals with Homogeneous Characteristic

L. N. Lyakhov and E. L. Shishkina p. 39  abstract

Calculation of Nodes and Weights of the Gaussian Quadrature for Large n

G. G. Rempel’ p. 44  abstract

On the Ergodic Theorem in the Kozlov–Treshchev Form

V. I. Bogachev and A. V. Korolev p. 47  abstract

Functional Equation for the Hyperbolic Zeta Function of Integer Lattices

M. N. Dobrovol’skii p. 53  abstract

Conjugate-Normal Matrices and Matrix Equations in A, , and A^T

Kh. D. Ikramov p. 55  abstract

Asymptotic Solution of a Linear System with a High-Order Rotation Point

A. V. Krivko and V. V. Kucherenko p. 58  abstract

Branching Equations with Crystallographic Group Symmetry

B. V. Loginov and O. V. Makeev p. 62  abstract

On the Solvability of Nonlocal Problems for Elliptic Systems in Infinite Angles

A. L. Skubachevskii p. 67  abstract

About Coordinates on the Phase Spaces of the Schlesinger System
and the Garnier–Painlevé 6 System

M. V. Babich p. 71  abstract

Blowup for Nonlinear Initial–Boundary Value Problems

V. A. Galaktionov and S. I. Pohozaev p. 76  abstract

Algebraicity of Solutions to the Mellin System and Its Monodromy

A. Dickenstein and T. M. Sadykov p. 80  abstract

On Real Hyperbolic Systems with Characteristics of Variable Multiplicity

A. V. Krivko and V. V. Kucherenko p. 83  abstract

Parameterization of Differential-Algebraic Equations with Retarded Argument

E. B. Kuznetsov and V. N. Mikryukov p. 87  abstract

Asymptotic Properties of Continuous Solutions to Systems
of Nonlinear Difference Equations with Continuous Argument

G. P. Pelyukh p. 91  abstract

A Generalization of Duhamel’s Principle for Differential Equations of Fractional Order

S. R. Umarov and E. M. Saidamatov p. 94  abstract

On the Best Approximation of Some Classes of Analytic Functions
in Weighted Bergman Spaces

M. Sh. Shabozov and O. Sh. Shabozov p. 97  abstract

An Improvement of the Dirichlet–Jordan Test for Fourier Series
of Functions of Bounded Variation

A. S. Belov and S. A. Telyakovskii p. 101  abstract

Necessary and Sufficient Conditions for the Boundedness
of the Riesz Potential in Local Morrey-Type Spaces

V. I. Burenkov, V. S. Guliev, and G. V. Guliev p. 103  abstract

The Algebra of Relative Morphisms on Stratified Manifolds

M. V. Korovina p. 108  abstract

Large Characteristic Subgroups Satisfying Multilinear Commutator Identities

N. Yu. Makarenko and E. I. Khukhro p. 112  abstract

Nonhomogeneous Telegraph Processes and Their Application
to Financial Market Modeling

A. V. Melnikov and N. E. Ratanov p. 115  abstract

Cauchy Problem for the System of Crystal Optics Equations

N. A. Zhura p. 118  abstract

Optimization of a Boundary Control of an Elastic Force at One End
of a String Based on Minimization of the Integral of the Modulus
of the Elastic Force Raised to an Arbitrary Power p 1

V. A. Il’in and E. I. Moiseev p. 123  abstract

Singular Boundary Value Problems in Domains of the Lobachevskii Space

V. V. Katrakhov and E. D. Emtseva p. 127  abstract

Algorithms for Solving the NP-Hard Problem of Minimizing Total Tardiness
for a Single Machine

A. A. Lazarev, A. G. Kvaratskheliya, and E. R. Gafarov p. 130  abstract

On the Large-Time Behavior of Solutions to Systems
of Hyperbolic Equations with Relaxation

V. V. Palin and E. V. Radkevich p. 134  abstract

Observability of Irregular Solutions to the Neumann Problem
for the Wave Equation with Variable Coefficients

M. M. Potapov p. 138  abstract

Mathematical Physics

The Maslov Symbol for the Density Matrix

D. S. Golikov and G. V. Koval’ p. 143  abstract

Integrable Models of the Longitudinal Motion of Electrons in Curved 3D Nanotubes

V. V. Belov and S. V. Nikolaev p. 147  abstract

Fulfillment of Boundary Conditions in the Differential Factorization Method

V. A. Babeshko, O. M. Babeshko, and O. V. Evdokimova p. 153  abstract

A Mathematical Model of the Chaotic Buffer Phenomenon

S. D. Glyzin, A. Yu. Kolesov, and N. Kh. Rozov p. 157  abstract

Computer Science

Mathematical Analysis of Structural Genes

N. N. Kozlov p. 162  abstract

Control Theory

Generalization of Effectiveness for Multicriteria Dynamical Systems

E. R. Smol’yakov p. 166  abstract

The Filtering Problem in Delayed Systems and Its Relationship
with the Estimation Problem under Arbitrarily Correlated Plant Noise

A. I. Matasov p. 169  abstract

Stabilization of the Motions of Controlled Mechanical Systems
by a Regulator with Delay

S. V. Pavlikov p. 174  abstract

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