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1989, Volume 307, Number 6  


MATHEMATICS
Estimates in the Zygmund class and their application to boundary value problems
F. G. Avkhadiev
1289
Approximation of linear functionals, and multidimensional spline interpolation
A. Yu. Bezhaev
1293
On the denseness of the compactly supported functions in weighted spaces
K. Kh. Boimatov
1296
The mixed product of dependent stochastic operator systems
G. P. Butsan
1300
A property of systems of functions that are complete in $W^1_2(\Omega)$
S. A. Gabov
1304
$A$-discriminants and Cayley–Koszul complexes
I. M. Gel'fand, A. V. Zelevinskii, M. M. Kapranov
1307
Some properties of influence functions
V. A. Gurvich
1311
On the theory of boundary value problems with boundary functions in $L_2$
N. Yu. Kapustin
1318
Coincidence of the classical and the generalized solutions of a mixed problem for a parabolic equation
È. K. Safiev
1322
Integrals of rational functions over the space $\mathbf{R}^n$
A. K. Tsikh
1325
Conditions for continuity of functions of generalized bounded variation
Z. A. Chanturiya
1329
The rate of convergence of interpolation splines given on nonuniform grids
A. Yu. Shadrin
1331

CYBERNETICS AND THE REGULATION THEORY
Decomposition of vector statistical patterns in applied recognition problems
A. I. Samylovskii
1335

MATHEMATICAL PHYSICS
A boundary value problem for the radiation transport equation in spectral lines under noncoherent and anisotropic scattering in a semi-infinite layer
J. S. Aliev
1340
Planar waveguide eigenmode spectra taking into account the energy dissipation
A. I. Voronko, Yu. V. Gulyaev, A. R. Karapetyan, G. N. Shkerdin
1345
An algorithm for solving the heat transfer problem with single-phase filtration
M. T. Zakhidov
1347
Bifurcationally ill-posed problems and deterministic phenomena under conditions of singular perturbation
V. V. Larchenko
1349
Nonstationary solutions of the two-particle Vlasov–Maxwell system
G. A. Rudykh, N. A. Sidorov, A. V. Sinitsyn
1354

PHYSICS
Spectral characteristics of $\gamma$-radiation of relativistic electrons at axial channeling in silicon crystal
M. Yu. Andreyashkin, I. E. Vnukov, S. A. Vorob'ev, A. N. Didenko, V. N. Zabaev, . N. Kalinin, G. A. Naumenko, A. P. Potylitsyn
1358
On the use of macroparticle method for the simulation of quantum transport in semiconductor microstructures
N. A. Bannov, V. I. Ryzhii
1361
The influence of nonmetallic and metallic vacancies on the stability of cubic molybdenum carbide
V. V. Krainik, A. A. Lisenko, E. A. Zhurakovskiy, V. I. Ivashchenko
1365

CRYSTALLOGRAPHY
Single crystal atomic structure of the $\mathrm{Bi}_{12}(\mathrm{Fe},\mathrm{P})\mathrm{O}_{20}$ solid solution
S. F. Radaev, L. A. Muradyan, Yu. F. Kargin, V. A. Sarin, E. È. Rider, V. I. Simonov
1381
 
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