Vol. 99, No. 1, 2019

Doklady Mathematics

Mathematics

Functions in the Schwartz Algebra that Are Invertible in the Sense of Ehrenpreis

N. F. Abuzyarova p. 1 abstract

Spectral Properties of Ordinary Differential Operators with Involution

V. E. Vladykina and A. A. Shkalikov p. 5 abstract

Classical and Generalized Solutions of a Mixed Problem for a Nonhomogeneous Wave Equation

A. P. Khromov and V. V. Kornev p. 11 abstract

Convexity of Suns in Tangent Directions

A. R. Alimov and Corresponding Member of the RAS E. V. Shchepin p. 14 abstract

Double Asymptotic Expansion of the Resolving Operator of the Cauchy Problem for the Linearized System of Gas Dynamics

A. I. Allilueva and Corresponding Member of the RAS A. I. Shafarevich p. 16 abstract

Sub-Finsler Problem on the Cartan Group

A. A. Ardentov and Yu. L. Sachkov p. 20 abstract

Foundations of Quasiconformal Analysis of a Two-Index Scale of Spatial Mappings

S. K. Vodopyanov p. 23 abstract

Nonexistence of Global Solutions of a Mixed Problem for a Ginzburg–Landau Type Nonlinear Evolution Equation

Sh. M. Nasibov p. 28 abstract

Embeddings of Spaces of Functions of Positive Smoothness on Irregular Domains

Corresponding Member of the RAS O. V. Besov p. 31 abstract

Expansion of Solutions to an Ordinary Differential Equation into Transseries

A. D. Bruno p. 36 abstract

On Optimal Bounds in the Local Semicircle Law under Four Moment Condition

F. Götze, A. A. Naumov and A. N. Tikhomirov p. 40 abstract

Determination of Permittivity from the Modulus of the Electric Strength of a High-Frequency Electromagnetic Field

Corresponding Member of the RAS V. G. Romanov p. 44 abstract

On C.R. Rao’s Theorem for Locally Compact Abelian Groups

G. M. Feldman p. 48 abstract

On the Complexity of Some Problems of Searching for a Family of Disjoint Clusters

A. V. Kel’manov, A. V. Pyatkin and V. I. Khandeev p. 52 abstract

Disorder Indicator for Nonstationary Stochastic Processes

A. A. Kislitsyn, A. B. Kozlova, M. B. Korsakova and Yu. N. Orlov p. 57 abstract

Spectral Deformation in a Problem of Singular Perturbation Theory

S. A. Stepin and V. V. Fufaev p. 60 abstract

Fast Trie-Based Method for Multiple Pairwise Sequence Alignment

P. A. Yakovlev p. 64 abstract

Disproof of the Zero–One Law for Existential Monadic Properties of a Sparse Binomial Random Graph

A. N. Egorova and M. E. Zhukovskii p. 68 abstract

A Construction of Reflecting Lévy Processes

Academician of the RAS I. A. Ibragimov, N. V. Smorodina and M. M. Faddeev p. 71 abstract

Local Metric Properties of Level Surfaces on Carnot–Carathéodory Spaces

M. B. Karmanova p. 75 abstract

Detailed Description of the Evolution Mechanism for Singularities in the System of Pressureless Gas Dynamics

Corresponding Member of the RAS A. I. Aptekarev and Yu. G. Rykov p. 79 abstract

Molecular Dynamics of Water Clusters and Interaction Potentials

E. D. Belega and D. N. Trubnikov p. 83 abstract

On Classical Solutions to the First Mixed Problem for the Vlasov–Poisson System in an Infinite Cylinder

Yu. O. Belyaeva and A. L. Skubachevskii p. 87 abstract

Reachability of Optimal Convergence Rate Estimates for High-Order Numerical Convex Optimization Methods

A. V. Gasnikov, E. A. Gorbunov, D. A. Kovalev, A. A. M. Mokhammed and E. O. Chernousova p. 91 abstract

Mathematical Physics

Slow and Fast Oscillations in a Model of an Optoelectronic Oscillator with Delay

E. V. Grigorieva and S. A. Kashchenko p. 95 abstract

On the Formation of Structures in Nonlinear Problems of Physical Kinetics

Academician of the RAS V. B. Betelin and V. A. Galkin p. 99 abstract

Computer Science

A Generalization of the Kravchenko–Kotelnikov Theorem by Spectra of Compactly Supported Infinitely Differentiable Functions $h_{a}^{{(m)}}(x)$

K. A. Budunova, V. F. Kravchenko and Academician of the RAS V. I. Pustovoit p. 104 abstract

Computer Sciences

Reconstruction of Three-Dimensional Maps Based on Closed-Form Solutions of the Variational Problem of Multisensor Data Registration

A. V. Vokhmintcev, A. V. Melnikov, K. V. Mironov and V. V. Burlutskiy p. 108 abstract

Control Theory

Inversion of Hyperoutput Time-Delay Systems