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1983, Volume 268, Number 2  


MATHEMATICS
Plancherel's theorem for an integral transformation associated with a complex of $p$-dimensional planes in $\mathrm{CP}^n$
R. G. Airapetyan, I. M. Gel'fand, M. I. Graev, G. R. Oganesyan
265
On a problem of M. M. Lavrent'ev for the biharmonic equation in a rectangle
M. A. Atakhodzhaev
268
Borsuk's problem on the metrization of a polyhedron
V. N. Berestovskii
273
New algebraic constructions of integrable Euler equations
O. I. Bogoyavlenskii
277
Mathematical models of aging of polymer insulating materials
R. P. Braginskii, B. V. Gnedenko, S. A. Molchanov, I. B. Peshkov, K. A. Rybnikov
281
Hamiltonian structures on Lie groups, Lie bialgebras and the geometric meaning of the classical Yang–Baxter equations
V. G. Drinfeld
285
Arithmetically consistent $\lambda$-theories of type-free logic
A. S. Kuzichev
288
On a sufficient condition for approximability of a function by rational fractions
P. V. Paramonov
292
On the boundary behavior of analytic sets and algebroid mappings
S. I. Pinchuk
296
Continuation with respect to a parameter of the solution of the two- dimensional inverse problem of the potential
V. G. Cherednichenko
299

CYBERNETICS AND THE REGULATION THEORY
Analysis and algorithmization of melodies using the frequency dictionaries of musical intonations
R. Kh. Zaripov
303

MECHANICS
Continuum theory of composite materials having small-scale distortions in their structure
A. N. Guz
307

FLUID MECHANICS
Steady flows of low-viscosity fluids in channels and tubes of periodic profile
S. I. Chernyshenko
314

THEORY OF ELASTICITY
An averaged description of an elastic medium with a large number of small absolutely solid inclusions
L. V. Berlyand, A. D. Okhotsimskii
317

GEOPHYSICS
Extreme distortion of the image of objects observed through a scattering layer
V. Y. Zuev, V. V. Belov, B. D. Borisov, V. N. Genin, M. V. Kabanov, G. M. Krekov
321
Hydrodynamics and structure of the two-phase astenosphere
A. V. Karakin, L. I. Lobkovsky
324
Temporal variations of the seismic wave amplitudes as determined from the results of earth crust seismic sounding in Southern Tadzhikistan
A. V. Kulagin, A. G. Gamburtsev
329
The velocity of description front and the dynamic stresses on it during the explosion in solid substances
V. I. Kulikov
332

MATHEMATICAL PHYSICS
A method of generating exact solutions of nonsoliton type for electrovacuum gravitational fields
G. A. Alekseev
337

PHYSICS
Formation mechanism of radiation paramagnetic color centers in silica glasses
A. V. Amosov, G. T. Petrovskiĭ
341
Picosecond kinetics of singlet-singlet transient absorption spectra of polyatomic molecule vapors
N. A. Borisevich, S. A. Tikhomirov, G. B. Tolstorozhev
344
Detection of oscillatory rainbow for the high-energy scattering of molecules
A. P. Kalinin, V. B. Leonas, I. D. Rodionov
347

CRYSTALLOGRAPHY
Crystal strusture of $\mathrm{Na}_2\mathrm{Sn}$-germanate, $\mathrm{Na}_6\mathrm{Sn}_4[\mathrm{GeO}_4][\mathrm{Ge}_2\mathrm{O}_7]_2\mathrm{O}_2(\mathrm{OH})_2$
A. N. Safronov, N. N. Nevsky, V. V. Ilyukhin, N. V. Belov
360
 
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