Contents
Doklady Mathematics
Vol. 54, No. 2, 1996
English language translation of the journal is available from
/ Interperiodica Publishing (Russia). Distributed worldwide
by the American Institute of Mathematics. Doklady Mathematics ISSN Pending
Translated from Doklady Akademii Nauk, Volume 350, Nos. 16, 1996
Volume 54, SeptemberOctober.
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 FourierHaar Series of Superpositions of Functions
P. L. Ulyanov 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. Ilin p. 673 abstract
On the Existence of the Stieltjes Integral
A. M. Dyachkov 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 ErdösTuran 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. Gelfond 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. Kondratev 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. Kondratev 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. Nikolskii 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 EinsteinPodolskyRosen 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. Kondratev 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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