Contents
Doklady Mathematics


Vol. 79, No. 2, 2009

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 425, Nos. 1–6, 2009


Volume 79, March–April.

Mathematics

Integrability Conditions for Two-Parameter Knizhnik–Zamolodchikov Equations of Type Bn
in the Tensor and Spinor Cases

V. A. Golubeva p. 147  abstract

Necessary and Sufficient Conditions for the Singularity of the Pairwise l1-Distance Matrix
and Their Generalizations

A. G. D’yakonov p. 150  abstract

Generalized Wiener-Segal-Fock Representations and Feynman Formulae

J. Kupsch, O. G. Smolyanov p. 153  abstract

Characterization of Graphs of Alternating and Quadratic Forms
As Covers of Locally Grassman Graphs

A. A. Makhnev and D. V. Paduchikh p. 158  abstract

Differential-Geometric Structures Defining Lie–Bäcklund Transformations

A. K. Rybnikov p. 163  abstract

Inverse Problem for an Operator Pencil with Nonseparated Boundary Conditions

V. A. Sadovnichii, Ya. T. Sultanaev, and A. M. Akhtyamov p. 169  abstract

On Stable Summation of Fourier Series

A. B. Bakushinskii p. 172  abstract

Apparent Singularities of Fuchsian Equations, the Painlevé VI Equation,
and Garnier Systems

R. R. Gontsov p. 176  abstract

Sharp a priori Bounds for Periodic Solutions to Second-Order Vector Differential Equations

A. A. Zevin p. 180  abstract

Elementary Equivalence and Isomorphisms of Locally Nilpotent Matrix Groups and Rings

V. M. Levchuk and E. V. Minakova p. 185  abstract

Symmetries and First Integrals in the Mechanics of Infinite-Dimensional Systems

V. M. Savchin and S. A. Budochkina p. 189  abstract

Fourier–Haar Coefficients and Banach Limits

E. M. Semenov and A. S. Usachev p. 191  abstract

Basis Property and Completeness of Eigenfunctions of the Frankl Problem

N. Abbasi p. 193  abstract

A Proof of the Vershik–Prohorov Conjecture on the Universality of the Limit Shape
for a Class of Random Polygonal Lines

L. V. Bogachev and S. M. Zarbaliev p. 197  abstract

On Hilbert’s 21st Problem for Scalar Fuchsian Equations

I. V. V’yugin p. 203  abstract

Peano-Type Theorem for the Cauchy–Kowalewski Problem

O. E. Zubelevich p. 207  abstract

Characteristic Sets for Smooth Contact Mappings of Carnot–Carathéodory Spaces

M. B. Karmanova p. 211  abstract

Boolean Polynomials and Linear Transformations

V. K. Leont’ev p. 216  abstract

On Automorphisms of 6-Covers of the Higman–Sims Graph

A. A. Makhnev and V. V. Nosov p. 219  abstract

Spaces of Functions of Fractional Smoothness on an Irregular Domain

O. V. Besov p. 223  abstract

Trajectory Attractor for a Reaction–Diffusion System with a Small Diffusion Coefficient

M. I. Vishik and V. V. Chepyzhov p. 227  abstract

Specific Stability Criterion for Solutions of a Fourth-Order Linear Homogeneous
Volterra-Type Integrodifferential Equation

M. I. Imanaliev and S. Iskandarov p. 231  abstract

Bases of Exponentials, Sines, and Cosines in Weighted Spaces on a Finite Interval

S. S. Pukhov and A. M. Sedletskii p. 236  abstract

Difference Problem of Noise Suppression and Other Problems of Active Control
of Single-Frequency Sound on a Composite Domain

V. S. Ryaben’kii, S. V. Utyuzhnikov, and S. V. Tsynkov p. 240  abstract

Elementary Proof of Classical Necessary Optimality Conditions
for a Mathematical Programming Problem with Inequality Constraints

A. A. Tret’yakov p. 243  abstract

Sufficient Conditions for the Solvability of the Urysohn Integral Equation on a Half-Line

Kh. A. Khachatryan p. 246  abstract

An Inverse Spectral Problem for Differential Operators on a Hedgehog-Type Graph

V. A. Yurko p. 250  abstract

Isomorphisms and Anti-isomorphisms of Endomorphism Rings
of Graded Modules Close to Free Ones

I. N. Balaba and A. V. Mikhalev p. 255  abstract

Boundary Value Problems in the Theory of Analytic Functions
with Loaded Free Terms and Additionally Given Boundary Moments

L. G. Mikhailov and R. Akbarov p. 258  abstract

Chebyshev and Zolotarev Perfect Splines on an Interval with Zero Boundary Conditions

D. A. Mikhalin p. 262  abstract

Tangent Cone to a Regular Quasimetric Carnot–Carathéodory Space

S. V. Selivanova p. 265  abstract

Representation of Solutions to Evolution Equations with Vladimirov Operator
in Terms of Feynman Path Integrals

O. G. Smolyanov and N. N. Shamarov p. 270  abstract

A Mathematical Model for Long-Term Forecasting of the Dynamics
of Innovative Economic Activity

A. A. Akaev and M. Hirooka p. 275  abstract

On Trigonometric Polynomials Least Deviating from Zero

V. V. Arestov and A. S. Mendelev p. 280  abstract

Geodesic Webs of Hypersurfaces

V. V. Goldberg and V. V. Lychagin p. 284  abstract

On Orthorecursive Expansions in Terms of a Chain of Systems

T. P. Lukashenko and V. A. Sadovnichii p. 287  abstract

On the Kolmogorov–Prokhorov Theorem on the Existence of Expectations of Random Sums

Sh. K. Formanov and E. L. Presman p. 293  abstract


Computer Science

On the Monotonicity of an Optimal Choice with Respect to a Parameter

N. S. Kukushkin p. 296  abstract


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