Contents
Doklady Mathematics

Vol. 84, No. 1, 2011

A simultaneous English language translation of this journal is available from Pleiades Publishing, Ltd.
Distributed worldwide by Springer. Doklady Mathematics ISSN 1064-5624.

Translated from Doklady Akademii Nauk, Volume 439, Nos. 1–6, 2011

Volume 84, July–August.

Mathematics

The Berezin Form and Harmonic Analysis on a Pair of Hyperboloids

A. A. Artemov p. 437  abstract

Smooth Diffeomorphisms with Countable Set of Stable Periodic Points

E. V. Vasil’eva p. 441  abstract

Distance-Regular Graphs with Intersection Arrays {55, 36, 11; 1, 4, 45}
and {56, 36, 9; 1, 3, 48} Do not Exist

A. L. Gavrilyuk p. 444  abstract

A Criterion for the Decidability of the A-Completeness Problem for Definite Automata

D. N. Zhuk p. 447  abstract

On Automorphisms of Semitriangular Graphs with = 7

N. D. Zyulyarkina and A. A. Makhnev p. 450  abstract

Flows on a Cubic Lattice

M. L. Matdinov p. 454  abstract

On Supremum Operators

D. V. Prokhorov and V. D. Stepanov p. 457  abstract

Rings of Formal Power Series and a Multidimensional Analogue
of the Lagrange Formula

M. I. Graev p. 459  abstract

On Spectra of Covers of Finite Simple Classical Groups

M. A. Grechkoseeva p. 464  abstract

A Property of the Set of Primes as a Multiplicative Basis of the Natural Numbers

A. A. Karatsuba^† p. 467  abstract

On Graphs in Which the Neighborhood of Each Vertex Is Isomorphic
to the Higman–Sims Graph

M. L. Kardanova, A. A. Makhnev, and D. V. Paduchikh p. 471  abstract

Algorithms for Searching for Hidden Oscillations in the Aizerman and Kalman Problems

G. A. Leonov and N. V. Kuznetsov p. 475  abstract

GL₃()-Orbits of Ternary Rational Forms

P. V. Bibikov and V. V. Lychagin p. 482  abstract

De la Vallée-Poussin Means of Fourier Series for Quadratic
Spectrum and Power Density Spectra

S. V. Bochkarev p. 485  abstract

On Cliques in Isoregular Graphs

A. A. Makhnev p. 491  abstract

A Certain Digital Signature and a New Block Cipher

M. P. Mineev and V. N. Chubarikov p. 495  abstract

Kolmogorov’s Theorem for Low-Dimensional Invariant
Tori of Hamiltonian Systems

P. I. Plotnikov and I. V. Kuznetsov p. 498  abstract

Explicit Integration and Topology of D.N. Goryachev Case

P. E. Ryabov p. 502  abstract

Asymptotic Representations of Series and Some Questions of Number Theory

A. I. Vagabov p. 506  abstract

On Automorphisms of Distance-Regular Graph with Intersection Array {15, 12, 6; 1, 2, 10}

N. D. Zyulyarkina and A. A. Makhnev p. 510  abstract

On a Particular Case of the Problem of Simultaneous Decomplexification
of a Pair of Complex Matrices by a Similarity Transformation

Kh. D. Ikramov and A. K. Abdikalykov p. 515  abstract

Stability Estimate of a Solution to the Problem of Kernel Determination
in Integrodifferential Equations of Electrodynamics

V. G. Romanov p. 518  abstract

Conditions on Integral Functional Implying Validity
of the Theory of Weak Convergence

M. A. Sychev p. 522  abstract

On B_u-Hamiltonian Equations in Mechanics of Infinite-Dimensional Systems

S. A. Budochkina and V. M. Savchin p. 525  abstract

Diffusion Processes on Solvable Groups of Upper Triangular 2 2
Matrices and Their Approximation

V. D. Konakov, S. Menozzi, and S. A. Molchanov p. 527  abstract

RK-Transform with (0, 2] of Weighted Spherical Means
of Functions and Asgeirsson Relations

L. N. Lyakhov p. 531  abstract

Numerically Implementable Models of Exponentially Correlated
Random Fields and Stochastic Problems of Particle Transport

G. A. Mikhailov p. 535  abstract

A Boundary Value Problem with Conditions on the Entire Boundary
of a Noncharacteristic Domain for a Fourth-Order Equation

E. A. Utkina p. 539  abstract

Exact Values of Complexity for Paoluzzi–Zimmermann Manifolds

A. Yu. Vesnin and E. A. Fominykh p. 542  abstract

Universal Algebraic Geometry

E. Yu. Daniyarova, A. G. Myasnikov, and V. N. Remeslennikov p. 545  abstract

On Riesz Bases of Eigenfunctions of Integral Operators
with Kernels Discontinuous on Diagonals

V. P. Kurdyumov and A. P. Khromov p. 548  abstract

Upper Estimates for the Hausdorff Dimension of Negatively
Invariant Sets of Local Cocycles

G. A. Leonov, V. Reitmann, and A. S. Slepukhin p. 551  abstract

Leading Asymptotic Term of the Solution to the Hamer Equation

A. A. Soloviev p. 555  abstract

Mathematical Physics

Nonlinear Elliptic Equations for Measures

L. G. Tonoyan p. 558  abstract

Real-Time Noise Suppression in a Three-Dimensional Protected Subdomain
as Based on Information from Synchronous Noise Exploration

V. S. Ryaben’kii p. 562  abstract

On the Uniqueness of Integrable and Probability Solutions to the Cauchy
Problem for the Fokker–Planck–Kolmogorov Equations

S. V. Shaposhnikov p. 565  abstract

Wigner Measures on Infinite-Dimensional Spaces and the Bogolyubov
Equations for Quantum Systems

V. V. Kozlov and O. G. Smolyanov p. 571  abstract

Computer Science

Symmetry and Properties of Recording Information in DNA

I. V. Sergienko, A. M. Gupal, and A. A. Vagis p. 576  abstract

Configuration and Minimal Coloring of Disbalanced Graphs

Ya. R. Grinberg and A. M. Rappoport p. 579  abstract

Control Theory

Adaptive Regulators in Tracking Problems for Uncertain Linear Discrete-Time Systems

E. Yu. Nebos’ko, A. V. Proskurnikov, and V. A. Yakubovich p. 582  abstract

Computation of Phase Detector Characteristics in Synchronization Systems

G. A. Leonov, N. V. Kuznetsov, M. V. Yuldashev, and R. V. Yuldashev p. 586  abstract

Pole Placement in Large Dynamical Systems with Many Inputs and Outputs

M. Sh. Misrikhanov and V. N. Ryabchenko p. 591  abstract

Pendulum on a Movable Base

Yu. G. Martynenko and A. M. Formal’skii p. 594  abstract

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