Contents
Doklady Mathematics

Vol. 75, No. 3, 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 414, Nos. 1–6, 2007

Volume 75, May–June.

Mathematics

On Multiple Fourier Series of Piecewise Smooth Functions

R. R. Ashurov p. 333  abstract

On a Distance Characterization of A.D. Aleksandrov Spaces of Nonpositive Curvature

I. D. Berg and I. G. Nikolaev p. 336  abstract

A Complicated Model of Geophysical Field Navigation

V. I. Berdyshev p. 339  abstract

Distributions on Hilbert Spaces and Singular Integral Equations

I. K. Lifanov and A. S. Nenashev p. 342  abstract

On a Property of Multidimensional Normal Distributions and Its Application
to the Computation of Options

A. V. Melnikov and Yu. V. Romanyuk p. 346  abstract

On Topological and Categorical Properties of the Functors M and M_R

Yu. V. Sadovnichii p. 349  abstract

On Fréchet Differentiability of Lipschitzian Functions on Spaces
with Gaussian Measures

V. I. Bogachev, E. Priola, and N. A. Tolmachev p. 353  abstract

On the Well-Posedness of Riemann Boundary Value Problems with Matrix Coefficient

A. F. Voronin p. 358  abstract

Integral Properties of Generalized Bessel Potentials

M. L. Gol’dman p. 361  abstract

Homogenization of Variational Inequalities for the Biharmonic Operator
with Constraints on Subsets Arranged -Periodically along Manifolds

M. N. Zubova p. 367  abstract

A Criterion for the Strong Solvability of the Mixed Cauchy Problem
for the Laplace Equation

T. Sh. Kal’menov and U. A. Iskakova p. 370  abstract

Asymptotic Behavior of the Spectral Measure Density
of a Singular Sturm–Liouville Operator as

A. S. Pechentsov and A. Yu. Popov p. 374  abstract

Asymptotics of Solutions to the Stokes Equations with Respect to Vanishing Viscosity

G. V. Sandrakov p. 377  abstract

Central Limit Theorem for Random Partitions under the Plancherel Measure

L. V. Bogachev and Z. G. Su p. 381  abstract

Stability of a Set of Trajectories of Nonlinear Dynamics

A. A. Martynyuk p. 385  abstract

Global Solvability of the Equations for Compressible Miscible Flows in Porous Media

V. V. Shelukhin and Y. Amirat p. 390  abstract

Integral Representations of Functions of Several Complex Variables

I. I. Bavrin p. 395  abstract

A Functional-Differential Operator with Involution

M. Sh. Burlutskaya, V. P. Kurdyumov, A. S. Lukonina, and A. P. Khromov p. 399  abstract

Iterated Differential Forms IV: The -Spectral Sequence

A. M. Vinogradov and L. Vitagliano p. 403  abstract

Existence Conditions for a Classical Solution of the Cauchy Problem
for the Diffusion-Wave Equation with a Partial Caputo Derivative

A. A. Voroshilov and A. A. Kilbas p. 407  abstract

On the Polydynamics of Nonlinear Systems on a Time Scale

A. A. Martynyuk p. 411  abstract

Integrals of Motion in Dual Spaces

E. R. Smol’yakov p. 415  abstract

Characterization of Certain Distance-Regular Graphs by Forbidden Subgraphs

V. V. Kabanov, A. A. Makhnev, and D. V. Paduchikh p. 420  abstract

Quantization of Topological Spaces of Negative Dimension, Parastatistics,
and Distribution of Dependent Random Variables

V. P. Maslov p. 424  abstract

Dual Operators in Fock-Type Spaces

V. V. Napalkov and V. V. Napalkov, Jr. p. 428  abstract

A Study of the Asymptotic Behavior of the Intensity of a Polarized Radiation
by the Monte Carlo Method

G. A. Mikhailov, N. V. Tracheva, and S. A. Ukhinov p. 431  abstract

Kalman Filter and Quantization

A. I. Ovseevich p. 436  abstract

Properties of the Trajectory of an Ordinary Differential Equation
in a Neighborhood of a Singular Point of the Second Type

I. P. Pavlotskii and M. Strianese p. 440  abstract

Observability of Irregular Solutions to the Third Boundary Value Problem
for the Wave Equation with Variable Coefficients

M. M. Potapov p. 442  abstract

Upper Bound for the Number of Independent Sets in Graphs

A. A. Sapozhenko p. 447  abstract

Complexity of Sequential Implementation of Partial Boolean Functions

L. A. Sholomov p. 449  abstract

Mathematical Physics

An Evolutionary Interpretation of the p-Adic Ultrametric Diffusion Equation

V. A. Avetisov and Yu. N. Zhuravlev p. 453  abstract

Prequantum Classical Statistical Field Theory: Time Scale of Fluctuations

A. Yu. Khrennikov p. 456  abstract

Computer Science

The Quasi-Reasonable Goals Method for Integer Multicriteria Optimization Problems

A. V. Lotov and A. I. Pospelov p. 460  abstract

Power Indices Taking into Account the Agents’ Preferences to Coalesce

F. T. Aleskerov p. 463  abstract

Control Theory

A Canonical Form of Vector Control Systems

S. K. Korovin, A. V. Il’in, and V. V. Fomichev p. 467  abstract

Zero Dynamics of Linear Vector Stationary Systems

S. K. Korovin, A. V. Il’in, and V. V. Fomichev p. 472  abstract

Modal Control in Sampled-Data Systems with High-Order Generalized Holds

B. P. Lampe and E. N. Rosenwasser p. 479  abstract

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