Contents
Doklady Mathematics


Vol. 62, No. 1, 2000

English language translation of the journal is available from MAIK “Nauka / Interperiodica” (Russia).
Doklady Mathematics ISSN 1064–5624.

Translated from Doklady Akademii Nauk, Volume 373, Nos. 1–6, 2000


Volume 62, July–August.

Mathematics

On the Weak Lipschitz Condition for Quasiconformal Mappings

M. Vuorinen, V. Ya. Gutlyanskii, and O. Martio p. 1  abstract

Representation of Solutions to Schrödinger Stochastic Equations by Functional Integrals
on Compact Riemannian Manifolds

I. Davies, O. G. Smolyanov, and A. Truman p. 4  abstract

On Surprising Extensions of the Field of Rationals

Yu. L. Ershov p. 8  abstract

The Fourier–Bessel Transform and Fractional Powers of Differential Operators

I. A. Kipriyanov p. 10  abstract

On the Uniform Continuity of the Family of Nonadditive Weakly Regular Set Functions

V. M. Klimkin and D. E. Klepnev p. 14  abstract

Potentials of Binary Relations and Systems of Monotone Responses

N. S. Kukushkin p. 16  abstract

The Regularized Trace of an Operator Having a Nuclear Resolvent and Perturbed
by a Bounded Operator

V. A. Sadovnichii, S. V. Konyagin, and V. E. Podol’skii p. 19  abstract

The Sobolev Embedding Theorem for a Domain with an Irregular Boundary

O. V. Besov p. 22  abstract

On the Global Domain of Influence of Solutions with Internal Layers

V. F. Butuzov and I. V. Nedel’ko p. 26  abstract

Generalization and Application of the Theory of Pseudodifferential Operators
in Modeling Some Mechanical Problems

G. M. Vainikko and I. K. Lifanov p. 28  abstract

A Condition for Complete Continuity of the Operators Arising
in Nonlocal Problems for Elliptic Equations

A. K. Gushchin p. 32  abstract

Nondegenerate Normal Forms of Boolean Functions

O. A. Logachev, A. A. Sal’nikov, and V. V. Yashchenko p. 35  abstract

On Characteristic Properties of Quadratic Forms

Yu. V. Prokhorov, G. Christoph, and V. V. Ul’yanov p. 39  abstract

Approximation of Poisson Integrals of Continuous Functions by Fourier Sums

A. I. Stepanets p. 41  abstract

On Resonance Equations with Unbounded Nonlinearities

A. M. Krasnosel’skii, N. A. Kuznetsov, and D. I. Rachinskii p. 44  abstract

Conformal Strain of the Riemannian Metrics with Platforms
of Zero Curvature on Compact Variety

E. D. Rodionov and V. V. Slavskii p. 49  abstract

Sufficient Conditions for Coefficientwise Stability of Operator-Difference Schemes

A. A. Samarskii, A. V. Gulin, and P. P. Matus p. 53  abstract

On the Properties of Series

P. L. Ul’yanov p. 56  abstract

On the Problem of Determining Two Unknown Coefficients of a Parabolic Equation

Yu. E. Anikonov and Yu. Ya. Belov p. 60  abstract

Exact Jackson-Type Inequalities in the Uniform Metric
for Functions Representable as Convolutions

O. L. Vinogradov and V. V. Zhuk p. 63  abstract

On Dimensions of Quadratic Forms

A. S. Vishik p. 66  abstract

On Polyhedra with the Local Pompeiu Property

V. V. Volchkov p. 69  abstract

Spectral Problems in Energy Spaces as Limits of Related Problems
in Almost Factored Spaces

E. G. D’yakonov p. 72  abstract

On Approximation by Algebraic Polynomials of Functions Characterized
by One Family of Nonsymmetric Generalized Shift Operators

M. K. Potapov p. 77  abstract

A Stability Estimate for the Solution to the Problem of Determining the Coefficients
of the First Derivatives in a Second-Order Hyperbolic Equation

V. G. Romanov p. 81  abstract

Stability of Classes of Lipschitzian Mappings, the Darboux Theorem, and Quasiconvex Sets

M. V. Korobkov and A. A. Egorov p. 84  abstract

Szegö-Type Limit Theorems for Determinants
of Truncated Generalized Multidimensional Discrete Convolutions

I. B. Simonenko p. 89  abstract

On Some Generalizations of Doubly Transitive Groups

S. P. Strunkov p. 91  abstract

Embedding Theorems for Generalized Sobolev–Nikol’skii–Wiener Spaces
and Applications to Differential Equations

S. V. Uspenskii, E. N. Vasil’eva, and S. I. Yanov p. 94  abstract

An Orthogonal Decomposition of Sobolev Spaces
and a Stokes-Type Boundary Value Problem

Yu. A. Dubinskii p. 98  abstract

A Criterion for a System of Eigenfunctions of a Quadratic Pencil
of Differential Operators To Have the Bessel Property

A. V. Konashenko p. 102  abstract

Additive Iterative Methods for Solving Problems of Mathematical Physics

A. A. Samarskii, V. N. Abrashin, and N. G. Zhadaeva p. 105  abstract

Vector Integrals

A. V. Uglanov p. 109  abstract


Mathematical Physics

Characteristic Multipoles and Variational Estimates for the Capacitance
of Cylindrical Capacitors

V. P. Kazantsev p. 113  abstract

Information Interpretation of p-Adic Physics

A. Yu. Khrennikov p. 117  abstract

Limit Theorems in New Probability Spaces Related to Quantum Statistics

V. P. Maslov and A. M. Chebotarev p. 120  abstract

Explicit Solutions to Acoustic Problems in Polyhedra

M. A. Sumbatyan p. 125  abstract

Statistical Dynamics of a System of Coupled Pendulums

V. V. Kozlov p. 129  abstract

The Problem of Determining the Layered Structure of the Ocean Floor

V. G. Romanov p. 132  abstract


Control Theory

Boolean Equations and Post Classes

V. S. Levchenkov p. 137  abstract


Computer Science

Heterogeneity Effects in Population Dynamics

G. P. Karev p. 141  abstract

Simulation of Dynamic Nondeterministic Processes by Bounded Petri TS-Nets

E. I. Smirnova and G. M. Emelyanov p. 145  abstract


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