Contents
Doklady Mathematics


Vol. 54, No. 2, 1996

English language translation of the journal is available from maik nauka / Interperiodica Publishing (Russia). Distributed worldwide
by the American Institute of Mathematics. Doklady Mathematics ISSN Pending

Translated from Doklady Akademii Nauk, Volume 350, Nos. 1–6, 1996


Volume 54, September–October.

Mathematics

Transformations of Gaussian Measures Generated
by the Levy Laplacian, and Generalized Traces

L. Accardi and O. G. Smolyanov p. 645  abstract

Controlling Discrete-Continuous Models of Catastrophes

V. V. Velichenko p. 649  abstract

On the Maximal -Depth of (0, 1)-Matrices of Ryser Classes

N. N. Kuzyurin p. 652  abstract

The Distance Estimate and Form of the Tangent Cone
of the Graph of an Extremal Mapping

E. S. Levitin p. 654  abstract

Normal Boundary Problems for the First Order Differential Equation

F. G. Maksudov and Z. I. Ismailov p. 659  abstract

Bounds on the Depth of Decision Trees That Compute Boolean Functions

M. Yu. Moshkov p. 662  abstract

On the Fourier–Haar Series of Superpositions of Functions

P. L. Ul’yanov p. 665  abstract

The Complete Classification of Typical Second-Order
Linear Partial-Differential Equations on the Plane

A. A. Davydov and E. Rosales-Gonsales p. 669  abstract

The Asymptotical Behavior of the Solution to the Time-Optimal Problem
for a Linear System under Perturbation of Initial Data

A. R. Danilin and A. M. Il’in p. 673  abstract

On the Existence of the Stieltjes Integral

A. M. D’yachkov p. 676  abstract

Reduction of the Bose Quadratic Operator to the Normal Form

V. V. Kucherenko and V. P. Maslov p. 680  abstract

The Search for a Global Minimum in Problems of Nonconvex Programming
with Dependences That Are Biseparable Superpositions of Convex Functions

E. S. Levitin and I. L. Khranovich p. 684  abstract

On the Erdös–Turan Theorem of the Logarithm of the Order of a Random Permutation

A. I. Pavlov p. 688  abstract

On the Embeddability of Certain Generalizations of Pseudo-Boolean Algebras

V. I. Khomich p. 692  abstract

Limit Properties and Optimization of Processes with Separation of Time

A. A. Vysotskii and M. A. Fedotkin p. 696  abstract

Newtonian Polyhedrons and Grothendieck Residues

O. A. Gel’fond and A. G. Khovanskii p. 700  abstract

On Almost-Everywhere Variants of Limit Theorems

I. A. Ibragimov p. 703  abstract

Classification of Poisson Structures

O. V. Lychagina p. 706  abstract

On Convex and Strongly Convex Approximations of Sets

E. S. Polovinkin p. 710  abstract

Spatially Chaotic Solutions to Parabolic Equations and Preservation of Homotopies

A. V. Babin p. 714  abstract

Computer Algebra of Polynomials: A Modified Method of Eliminating Unknowns

V. I. Bykov, A. M. Kytmanov, and T. A. Osetrova p. 718  abstract

A Construction of Integral Representations for Spaces of Analytic Functions

V. Kisil’ p. 721  abstract

The Asymptotic Theorem of I. Babushka

M. D. Ramazanov p. 724  abstract

On the Algebraicity of Holomorphic Mappings

A. B. Sukhov and R. A. Sharipov p. 728  abstract

Global Invertibility of Nonlinear Operators
and the Method of Continuation with Respect to a Parameter

V. A. Trenogin p. 730  abstract

Boundary Properties of Homeomorphisms
with an Unlimited Characteristic of Quasi-Conformality

Yu. K. Chernov p. 733  abstract

Approximate Formulas for Regularized Traces

V. V. Dubrovskii and N. V. Semin p. 735  abstract

The Moments of Negative Eigenvalues of the Schrödinger Operator

Yu. V. Egorov and V. A. Kondrat’ev p. 737  abstract

Duality Theorems for a Nontopological Variant of the Mass Movement Problem

V. L. Levin p. 741  abstract

An Inverse Problem for an Integro-Differential Equation That Contains a Parameter

V. G. Romanov p. 745  abstract

On the Optimal Column Shape

Yu. V. Egorov and V. A. Kondrat’ev p. 748  abstract

A Remark on Symplectic Packings

B. S. Kruglikov p. 751  abstract

B-Hypersingular Integrals with Stabilizing Characteristics

L. N. Lyakhov p. 756  abstract

A Problem of Realizing a Given Motion. Flexible Systems

M. S. Nikol’skii p. 760  abstract

On the Dirichlet Problem for the Biharmonic Equation
in a Domain, Perforated along Manifolds of Small Dimension

O. A. Oleinik and T. A. Shaposhnikova p. 763  abstract

The Almost-Periodicity of Infinite-Gap Potentials of the Dirac Operator

A. B. Khasanov and A. Yakhshimuratov p. 767  abstract


Mathematical Physics

The Theorem of Fast Growth of a Small Magnetic Field (“Dynamo”)
for Magnetic Hydrodynamics Equations with Pulsing Initial Velocities

V. P. Maslov p. 770  abstract

Spectral Problems with an Operator-Valued Symbol in Quantum Field Theory

V. P. Maslov and O. Yu. Shvedov p. 772  abstract

A Solution to the Boundary-Value Problem
of Transport Theory for a Planar Layer with a Horizontally Inhomogeneous Boundary
of an Interface between Two Media

T. A. Sushkevich p. 775  abstract

An Effective Numerical Method for the Determination
of Wave Fields in Unbounded Domains

G. V. Alekseev and E. G. Komarov p. 780  abstract

A Generalization of the Molecular Dynamics Method
for Calculating Quantum-Mechanical Means

V. S. Filinov, Yu. V. Medvedev, and V. L. Kamskii p. 785  abstract

The Einstein–Podolsky–Rosen Paradox and the p-Adic Probability Theory

A. Yu. Khrennikov p. 790  abstract


Informatics

Algorithms for Reconstructing Spatially Distributed Parameters
of Surfaces in an Aperture Synthesis in Broadband Passive Radiometric Systems

V. K. Volosyuk, V. F. Kravchenko, and V. I. Pustovoit p. 794  abstract

Active Reconstruction as a Solution to the Problem of Uncertainty

V. V. Kondrat’ev and V. A. Utrobin p. 800  abstract

Integration of Methods in Hybrid Expert Systems

V. V. Petrov and N. V. Pavlova p. 804  abstract

A Method for the Classification of QRS-Complexes

V. F. Kravchenko, A. Yu. Popov, and V. I. Pustovoit p. 806  abstract

Structural Models of the Dynamics of Biological Communities

G. P. Karev p. 809  abstract


Control Theory

On Stochastic Observability of a Nonlinear Dynamic System

I. A. Boguslavskii p. 812  abstract


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