Contents
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 Eng./Russ.
Mathematics
On Multiple Fourier Series of Piecewise Smooth Functions
R. R. Ashurov 333 7 On a Distance Characterization of A.D. Aleksandrov Spaces of Nonpositive Curvature
I. D. Berg and I. G. Nikolaev 336 10 A Complicated Model of Geophysical Field Navigation
V. I. Berdyshev 339 13 Distributions on Hilbert Spaces and Singular Integral Equations
I. K. Lifanov and A. S. Nenashev 342 16 On a Property of Multidimensional Normal Distributions and Its Application
to the Computation of Options
A. V. Melnikov and Yu. V. Romanyuk 346 21 On Topological and Categorical Properties of the Functors M and MR
Yu. V. Sadovnichii 349 24 On Frechet Differentiability of Lipschitzian Functions on Spaces
with Gaussian Measures
V. I. Bogachev, E. Priola, and N. A. Tolmachev 353 151 On the Well-Posedness of Riemann Boundary Value Problems with Matrix Coefficient
A. F. Voronin 358 156 Integral Properties of Generalized Bessel Potentials
M. L. Gol'dman 361 159 Homogenization of Variational Inequalities for the Biharmonic Operator
with Constraints on Subsets Arranged -Periodically along Manifolds
M. N. Zubova 367 165 A Criterion for the Strong Solvability of the Mixed Cauchy Problem
for the Laplace Equation
T. Sh. Kal'menov and U. A. Iskakova 370 168 Asymptotic Behavior of the Spectral Measure Density
of a Singular Sturm-Liouville Operator as
A. S. Pechentsov and A. Yu. Popov 374 172 Asymptotics of Solutions to the Stokes Equations with Respect to Vanishing Viscosity
G. V. Sandrakov 377 175 Central Limit Theorem for Random Partitions under the Plancherel Measure
L. V. Bogachev and Z. G. Su 381 295 Stability of a Set of Trajectories of Nonlinear Dynamics
A. A. Martynyuk 385 299 Global Solvability of the Equations for Compressible Miscible Flows in Porous Media
V. V Shelukhin and Y. Amirat 390 304 Integral Representations of Functions of Several Complex Variables
I.I. Bavrin 395 439
A Functional-Differential Operator with Involution
M. Sh. Burlutskaya, V. P. Kurdyumov, A. S. Lukonina, and A. P. Khromov 399 443 Iterated Differential Forms IV: The -Spectral Sequence
A. M. Vinogradov and L. Vitagliano 403 447 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 407 451 On the Polydynamics of Nonlinear Systems on a Time Scale
A. A. Martynyuk 411 455 Integrals of Motion in Dual Spaces
E. R. Smol'yakov 415 459 Characterization of Certain Distance-Regular Graphs by Forbidden Subgraphs
V. V. Kabanov, A. A. Makhnev, and D. V. Paduchikh 420 583 Quantization of Topological Spaces of Negative Dimension, Parastatistics,
and Distribution of Dependent Random Variables
V. P. Maslov 424 587 Dual Operators in Fock-Type Spaces
V. V. Napalkov and V. V. Napalkov, Jr. 428 591 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 431 727 Kalman Filter and Quantization
A. I. Ovseevich 436 732 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 440 736 Observability of Irregular Solutions to the Third Boundary Value Problem
for the Wave Equation with Variable Coefficients
M. M. Potapov 442 738 Upper Bound for the Number of Independent Sets in Graphs
A. A. Sapozhenko 447 743 Complexity of Sequential Implementation of Partial Boolean Functions
L. A. Sholomov 449 745
Mathematical Physics
An Evolutionary Interpretation of the p-Adic Ultrametric Diffusion Equation
V. A. Avetisov and Yu. N. Zhuravlev 453 309 Prequantum Classical Statistical Field Theory: Time Scale of Fluctuations
A. Yu. Khrennikov 456 313
Computer Science
The Quasi-Reasonable Goals Method for Integer Multicriteria Optimization Problems
A. V. Lotov and A. I. Pospelov 460 317 Power Indices Taking into Account the Agents' Preferences to Coalesce
F. T. Aleskerov 463 594
Control Theory
A Canonical Form of Vector Control Systems
S. K. Korovin, A. V. Il'in, and V. V. Fomichev 467 320 Zero Dynamics of Linear Vector Stationary Systems
S. K. Korovin, A. V. Il'in, and V. V Fomichev 472 598 Modal Control in Sampled-Data Systems with High-Order Generalized Holds
B. P. Lampe and E. N. Rosenwasser 479 605
