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1988, Volume 298, Number 1  


MATHEMATICS
Representation of the solution of the wave equation in the form of a path integral
M. A. Antonets
11
Nonlinear majorization of linear operators
A. V. Bukhvalov
14
Generalized Airey functions, Schubert cells and Jordan groups
I. M. Gel'fand, V. S. Retakh, V. V. Serganova
17
The Paley–Wiener–Schwartz theorem for the Fourier–Bessel transformation
I. A. Kipriyanov, A. A. Kulikov
22
Smoothness of the solutions of some nonlinear boundary value problems for equations with nondifferentiable coefficients
A. I. Koshelev
26
Coercivity of degenerate elliptic operators
S. Z. Levendorskii
29
An estimate for differential operators in uniform norm, and coercivity in S. L. Sobolev spaces
M. M. Malamud
32
On the Noethericity of a linear conjugation operator on a torus in a countable-Hilbert space
A. È. Pasenchuk
37
Algebras of pseudodifferential operators with piecewise-smooth symbols
B. A. Plamenevskii, V. N. Senichkin
40
On an integral representation and a related transformation of analytic functions of several complex variables
B. Yu. Sternin, V. E. Shatalov
44
On the optimization of methods for the regularization of degenerate operator equations of the first kind
V. P. Tanana, S. I. Yanchenko
49
Approximately complete sets of the generalized Feynman measure
A. M. Chebotarev
52

GEOPHYSICS
Boundary-value problems of the geothermal profiling of the Earth crust zone and lithosphere with different permeability
V. N. Nikitina
58

MATHEMATICAL PHYSICS
An approach to the construction of adaptive difference grids
N. A. Dar'in, V. I. Mazhukin
64
A method for the numerical solution of nonstationary problems of diffraction of electromagnetic waves by nonclosed surfaces
E. V. Zakharov, S. I. Safronov
68
An approach to the generalization of systems of representation of signals
Yu. P. Zubkov, V. F. Kravchenko, V. L. Rvachev
73
Averaging of processes in strongly inhomogeneous structures
G. P. Panasenko
76
The plane problem of diffraction of $E$-polarized electromagnetic waves by a system of semi-infinite and finite cylindrical scatterers
V. V. Panasyuk, M. P. Savruk, Z. T. Nazarchuk
80

PHYSICS
On the relation between the exchanges of Geisenberg and non-Geisenberg types in the multiatomic systems
L. V. Artamonov, E. V. Mozdor, A. B. Roitsin
83
Raman study of the overheated melt crystallization in the $\mathrm{Sm}_2\mathrm{O}_3$$\mathrm{Ga}_2\mathrm{O}_3$ system
Yu. K. Voronko, A. B. Kudryavtsev, V. V. Osiko, A. A. Sobol, E. V. Sorokin, F. M. Spiridonov
87

CRYSTALLOGRAPHY
Compressibility and polymorphism of $\mathrm{ReO}_3$ up to $30$ GPa
T. I. Dyuzheva, N. A. Bendeliani, S. S. Kabalkina
100
Substructure- and phase transformations in $\alpha$-titanium films under vacuum ultraviolet irradiation
L. S. Palatnik, S. V. Malykhin, A. A. Koz'ma, S. T. Roshchenko, B. I. Khrushch, V. F. Udovenko
102
 
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