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 Author Index

 Dokl. Akad. Nauk SSSR, Volume 112 (1957)

 Dokl. Akad. Nauk SSSR, Volume 113 (1957)

 Dokl. Akad. Nauk SSSR, Volume 114 (1957)

 Dokl. Akad. Nauk SSSR, Volume 115 (1957)

 Dokl. Akad. Nauk SSSR, Volume 116 (1957)

 Dokl. Akad. Nauk SSSR, Volume 117 (1957)

 Dokl. Akad. Nauk SSSR, Volume 118 (1958)

 Dokl. Akad. Nauk SSSR, Volume 119 (1958)

 Dokl. Akad. Nauk SSSR, Volume 120 (1958)

 Dokl. Akad. Nauk SSSR, Volume 121 (1958)

 Dokl. Akad. Nauk SSSR, Volume 122 (1958)

 Dokl. Akad. Nauk SSSR, Volume 123 (1958)

 Dokl. Akad. Nauk SSSR, Volume 130 (1960)

 Dokl. Akad. Nauk SSSR, Volume 131 (1960)

 Dokl. Akad. Nauk SSSR, Volume 132 (1960)

 Dokl. Akad. Nauk SSSR, Volume 133 (1960)

 Dokl. Akad. Nauk SSSR, Volume 134 (1960)

 Dokl. Akad. Nauk SSSR, Volume 135 (1960)

 Dokl. Akad. Nauk SSSR, Volume 136 (1961)

 Dokl. Akad. Nauk SSSR, Volume 137 (1961)

 Dokl. Akad. Nauk SSSR, Volume 138 (1961)

 Dokl. Akad. Nauk SSSR, Volume 139 (1961)

 Dokl. Akad. Nauk SSSR, Volume 140 (1961)

Dokl. Akad. Nauk SSSR, Volume 141 (1961)

Number 1
MATHEMATICS
Generalization of Eichler's theorem in the theory of quaternary quadratic forms
A. N. Andrianov
9
New criteria for the paracompactness and metrisability of an arbitrary $T_1$-space
A. Arkhangel'skii
13
A representation of a tensor function
V. D. Bondar'
16
Chebyshev sets in Banach spaces
L. P. Vlasov
19
Singular operators of arbitrary order on a manifold
A. S. Dynin
21
Stability in the case of a neutral linear approximation
A. M. Molchanov
24
Divergent Fourier series of continuous functions
A. M. Olevskii
28
The sewing problem for two semi-circles
D. B. Potyagailo
32
The Riemann boundary-value problem for $n$ pairs of functions with measurable coefficients and its application to the study of singular integrals in weighted $L_p$ spaces
I. B. Simonenko
36
An estimate for a mixed derivative in $L_p(G)$
Yu. K. Solntsev
40
Exactness of limit sequences of the inverse spectrum of exact sequences of discrete groups
N. T. Tynyanskii
43
Solution of the Riemann boundary-value problem for automorphic functions for groups characterised by two invariants
L. I. Chibrikova
47
On the homotopy theory of fiber spaces
A. S. Schwarz
51

FLUID MECHANICS
Interaction of rotational discontinuities
V. V. Gogosov
55

PHYSICS
The energy levels of $\mathrm{Gd}^{156}$ and $\mathrm{Gd}^{158}$
L. V. Groshev, A. M. Demidov, V. A. Ivanov, V. N. Lutsenko, V. I. Pelekhov
59
The influence of an external electric field and the luminescence of cuprous oxide
H. P. –ŚÍŗ, Yu. I. Karkhanin
63
Neutrino and antineutrino in a free space
V. M. Kharitonov
66
A possible criterion of superconductivity
I. M. Chapnik
70

GEOPHYSICS
Measurement of deep currents in the Black sea with the aid of an ultrasonic buoy of neutral buoyancy
Yu. G. Ryzhkov, N. N. Karnaushenko
74
A stationary problem concerning the motion of a cold layer of air over a cross-country
F. I. Frankl', L. N. Gutman
77

CHEMISTRY
Some new imidoether derivatives
A. E. Arbuzov, V. E. Shishkin
81
Detection of $\alpha$-glycol groupings in thin-layer chromatography on silica gel
L. D. Bergelson, È. V. Dyatlovitskaya, V. V. Voronkova
84
On two conformations of some inorganic complexes of transition metals
I. B. Bersuker
87
Interaction of sulphur with rubber under the influence of $\gamma$-radiation
B. A. Dogadkin, Z. N. Tarasova, M. S. Fogel'son, A. I. Kashlinskii
90
An investigation of the $\mathrm{Mn}$$\mathrm{Si}$ system in the high-silicon region
L. D. Dudkin, E. S. Kuznetsova
94
The use of ion exchange chromatography in the activation analysis of microimpurities in silica
A. I. Kalinin, R. A. Kuznetsov, V. V. Moiseev, A. N. Murin
98
An investigation of the reaction between an aqueous solution of potassium metaniobate and oxalic acid
A. V. Lapitskii, L. G. Vlasov, E. P. Artamonova, Yu. Zyulkovskii
101
Hydrogenation of cerium magnesium alloys
V. I. Mikheeva, Z. K. Sterlyadkina
104
Oxidation of diisopropyl mercury
G. A. Razuvaev, G. G. Petukhov, S. F. Zhil'tsov, L. F. Kudryavtsev
107
Synthesis and some reactions of pyridylethinylcarbinols
P. B. Terent'ev, A. N. Kost, A. A. Shchegolev, A. P. Terent'ev
110
Double oxides in the uraniumtungsten-oxygen system
V. K. Trunov, L. M. Kovba, Vikt. I. Spitsyn
114
Comparative study of the reaction kinetics when different hydrocarbons are converted to acetylene in an electric discharge in a static system
A. B. Tsentsiper, E. N. Eremin, N. I. Kobozev
117
Application of Hammett–Taft equation to the reaction of hydride transition in an acid medium
S. G. Entelis, G. V. Epple
121
Pyrolysis and photolysis of polyfluoronitrosoalkanes; reaction of nitrosocompounds with nitric oxide
A. Ya. Yakubovich, S. P. Makarov, V. A. Ginsburg, N. F. Privezentseva, L. L. Martynova
125

PHYSICAL CHEMISTRY
Detection of oxygen atoms in rarefied flame of carbon monoxide with oxygen when small quantities of hydrogen are present
V. V. Azatyan, L. A. Akopyan, A. B. Nalbandyan, B. V. Ozherel'ev
129
The mechanism of chain initiation in oxidized cyclohexanol
E. T. Denisov
131
On the different filtration rate of anions and cations when solutions are flowing through finely porous filters
V. A. Zharikov, T. N. Dyuzhikova, È. M. Maksakova
135
Emission of positive molecular ions from heated surfaces in vacuum
È. Ya. Zandberg, N. I. Ionov
139
Decomposition kinetics of alkali metal amalgams in alkaline solutions of electrolytes
V. N. Korshunov, Z. A. Iofa
143
The polarographic catalytic surface waves of hydrogen as affected by the structure of the double layer
S. G. Mairanovskii, L. D. Klyukina, A. N. Frumkin
147
Propagation rate of the front of an exothermic reaction in condensed phase
B. V. Novozhilov
151
An investigation of the thermodynamic properties of platinum-lead alloys
P. P. Otopkov, Ya. I. Gerasimov, A. M. Evseev
154
An investigation of the secondary structures formed in capron fibres
K. Kh. Razikov, G. S. Markova, V. A. Kargin
157
Isotopic effect in radiolytic formation of hydrogen from polyethylene
V. E. Skurat
161
On metastable solutions of calcium silicates
Zhou Pin-i, O. I. Luk'yanova, E. E. Segalova
165
Vibration spectra of some alkyl and alkylalkenylstannanes $(\mathrm{Sn}^{\mathrm{IV}})$
N. A. Chumaevskii
168


I. V. Gel'man
8

Number 2


I

MATHEMATICS
Continuous analogues of orthogonal polynomials on a system of intervals
N. I. Akhiezer
263
Convergence of the remainder in the Bubnov–Galerkin and Ritz methods
O. K. Bogaryan
267
The Morozov–Borel theorem for real Lie groups
È. B. Vinberg
270
The Chebyshev best approximation problem in the complex domain with supplementary conditions on the coefficients of the approximating polynomial
E. G. Gol'shtein
274
On the computation of eigenvalues and eigenvectors of matrices
D. F. Davidenko
277
Unitary pairs of operators and their analytic characterization in $L_2(a,b)$
M. M. Dzhrbashyan
281
$n$-dimensional elliptic boundary value problems with a single unknown function
A. S. Dynin
285
Non-negative eigenfunctions of the Laplace-Beltrami operator and Brownian motion in certain symmetric spaces
E. B. Dynkin
288
Calculation of the index of an isolated stationary point of a completely continuous vector field
P. P. Zabreiko, M. A. Krasnosel'skii
292
Estimate of the spectrum of a stationary Gaussian process
I. A. Ibragimov
296
A generalization of the notion of basis and of Bari's theorems on bases
G. M. Kesel'man
300
Best uniform approximation of differentiable functions
N. P. Korneichuk
304
On Sobolev's imbedding theorems for abstract functions
V. B. Korotkov
308
An example of a dimensionally deficient compactum
V. Kuz'minov
312
Classification of bounded homogeneous domains in $n$-dimensional complex space
I. I. Pyatetskii-Shapiro
316
Theorems of Sylow type
S. A. Rusakov
320
Geometric description of all possible representations of a Riemannian metric in Levi-Cività form
A. S. Solodovnikov
322

MATHEMATICAL PHYSICS
On a certain boundary-value problem for Laplace's equation
A. F. Khrustalev
327

PHYSICS
A steady flow of a conducting fluid in a rectangular tube with two conducting and two not-conducting walls, placed in an external magnetic field
G. A. Grinberg
330

CRYSTALLOGRAPHY
Single ferroelectric crystals with a high non-linearity
A. L. Khodakov, M. L. Sholokhovich
338

CHEMISTRY
The structure of certain complexes of copper acetate and copper chloroacetates as investigated by means of electron paramagnetic resonance
A. V. Ablov, Yu. V. Yablokov, I. I. Zheru
343
Free energy of $\mathrm{Mn}_{23}\mathrm{C}_6$
V. I. Alekseev, L. A. Schwarzman
346
Interaction of imidoethers with halogen alkyls
A. E. Arbuzov, V. E. Shishkin
349
Methods of studying the stability of complex phthalocyanin compounds
B. D. Berezin
353
Reactions of polyfluorinated nitrosoalkanes with amines
S. P. Makarov, A. Ya. Yakubovich, V. A. Ginsburg, A. S. Filatov, M. A. Ènglin, N. F. Privezentseva, T. Ya. Nikiforova
357
Pyrrolysidine alkaloids. Absolute configuration of 1-methylene pyrrolysidine and other pyrrolysidine bases
A. M. Likhosherstov, A. M. Kritsyn, N. K. Kochetkov
361
On scandium chalkogenides
A. A. Men'kov, L. N. Komissarova, Yu. P. Simanov, Vikt. I. Spitsyn
364
Inhibitors of free-radical reactions. II Self-alkylation of 3,5-di-t-butyl-4-oxybenzylamine
G. A. Nikiforov, K. M. Dyumaev
368
The decomposition of diphenylmercury in cyclohexane and cyclohexene
G. A. Razuvaev, G. G. Petukhov, Yu. A. Kaplin, L. F. Kudryavtsev
371
Sulfurization of 2-veratryl-and 2-piperonyl-indandiones-1,3
A. Ya. Strakov, O. Ya. Neilands, È. Yu. Gudrinietse, G. Ya. Vanag
374
The influence of hydrogen and argon on the electrocracking of methane and ethylene
A. B. Tsentsiper, E. N. Eremin, N. I. Kobozev
378

PHYSICAL CHEMISTRY
The thermodynamic properties of $\mathrm{Ag}$$\mathrm{Bi}$ melts
A. A. Vecher, Ya. I. Gerasimov
381
On theory of a gas sliding along a solid surface due to temperature drop
B. V. Deryagin, S. P. Bakanov
384
The polymeric chain conformation in a solution as dependent on the concentration of the latter
P. I. Zubov, Yu. S. Lipatov, E. A. Kanevskaya
387
The role of phase transitions in the polymerization of monomers when the latter are in the solid state
V. A. Kargin, V. A. Kabanov, I. M. Papisov, V. P. Zubov
389
Inflammation limits in turbulized gas mixtures
V. P. Karpov, A. S. Sokolik
393
Iodine diffusion in compressed carbon dioxide near the critical point
I. R. Krichevskii, N. E. Khazanova, L. R. Linshits
397
Coordination numbers of particles in liquid solutions as dependent on temperature
V. I. Kuz'mich, V. K. Prokhorenko, O. Ya. Samoilov, I. Z. Fisher
400
Polarization of certain gaseous electrodes when in contact with solid electrolytes
A. D. Neuymin, S. V. Karpachev, S. F. Pal'guev
402
On the strengthening of solid nickel alloys
L. I. Pryakhina, L. A. Ryabtsev
406
Interaction of molecular oxygen with a stable free radical in solution investigated by the method of paramagnetic electron resonance
A. A. Revina, N. A. Bakh
409
The decomposition kinetics of alkali metal amalgams in buffer solutions
A. N. Frumkin, V. N. Korshunov, Z. A. Iofa
413


D. N. Andreevskii
262

Number 3

MATHEMATICS
Convex homogeneous domains
È. B. Vinberg
521
On the set of angular limiting values of normal meromorphic functions
V. I. Gavrilov
525
An integral equation connected with a pulse motion around a circle
S. I. Gel'fand, D. A. Kazhdan
527
Integral formulas for Siegel domains of second kind
S. G. Gindikin
531
The index in boundary-value problems for invariant elliptic systems
A. A. Dezin
535
On the completeness and closure of the incomplete system of functions $\{e^{-\mu}k^xx^sk^{-1}\}$
M. M. Dzhrbashyan
539
On a refinement of the bound of the spectral function of the Laplace operator
Ya. M. Zhileikin
543
Smoothness properties of generalized potentials of an elliptic operator
V. A. Il'in, I. A. Shishmarev
547
Solution of the Cauchy problem for hyperbolic equations by the method of finite differences
J. Kopáček
551
Projective imbeddings of algebraic manifolds
B. G. Moishezon
555
A test for the completeness of a system of eignevectors and adjoint vectors of a polynomial bundle of operators
Yu. A. Palant
558
On paracompact and finally compact spaces
V. Ponomarev
561
The Fourier coefficients of periodic functions belonging to the $H$-classes of S. M. Nikolʹskii
M. K. Potapov
564
Conditions for the existence of a solution of a quasi-linear parabolic equation
A. F. Filippov
568
Inverse problems in additive number theory. Addition of sets of residues modulo a prime
G. A. Freiman
571
A numerical method of solving eigenvalue problems
I. S. Chara
574

ASTRONOMY
The simplest model of comet halos
D. O. Mokhnach
578

MATHEMATICAL PHYSICS
Diverging diagrams in the formal theory of perturbations for a non-ideal Fermi–Dirac system and their mutual compensation
V. V. Tolmachev
582

PHYSICS
Determination of the frequencies of transitions between different states of the activator molecule in organic phosphors
A. V. Aristov, B. Ya. Sveshnikov
586
Cyclic accelerators for high energies with a self-tuning magnetic field
È. L. Burshtein, A. A. Vasil'ev, A. L. Mints, V. A. Petukhov, S. M. Rubchinskii
590
Observation of $\mathrm{B}^9_5$ nucleus decay in nuclear emulsion
V. F. Darovskikh, M. M. Makarov, V. I. Ostroumov
593
The fine structure of the excitation functions for certain cadmium lines
I. P. Zapesochnyĭ, V. S. Shevera
595
Quantum theory of unstable elementary particles
L. A. Khalfin
599

CRYSTALLOGRAPHY
Movement of twinning dislocations in calcite
V. Z. Bengus, S. N. Komnik, V. I. Startsev
607

CHEMISTRY
The regrouping mechanism of imidoethers
A. E. Arbuzov, V. E. Shishkin
611
On the mechanism of epichlorohydrin polymerization upon the catalytic system [$\mathrm{FeCl}_3\times$ propylene oxide]
L. A. Bakalo, B. A. Krentsel', L. M. Pyrkov, A. V. Topchiev, S. Ya. Frenkel'
613
Catalytic dehydrogenation of alkylphenols
A. A. Balandin, G. M. Marukyan, R. G. Seimovich
616
An investigation into the structure of unsaturated nitrocompounds by the method of dipole moments
V. N. Vasil'eva, V. V. Perekalin, V. G. Vasil'ev
620
The synthesis of double diazonium salts of aluminium halides
L. A. Kazitsyna, S. V. Pasynkevich, O. A. Reutov
624
Reaction of alkyl- and alkoxyoxazoles with maleic acid imide
G. Ya. Kondrat'eva, Huang Zhi-heng
628
An investigation of the composition of the products of reaction between vanadium oxytrichloride and trimethylaluminum
G. N. Petrov, A. A. Korotkov
632
Production of carboxylic acids and their esters by acid catalysis from carbon monoxide and alcohols
K. V. Puzitskii, Ya. T. Eidus, K. G. Ryabova
636
Production of 2,2-disubstituted 1-amino-indandiones-3
Ya. F. Freimanis, G. Ya. Vanag
638
An investigation of the polymerization of cyan-containing organosilicon compounds
A. M. Polyakova, V. V. Korshak, V. M. Vdovin, E. S. Tambovtseva
641
On the structure of complex “anomalous” compounds of bivalent platinum
Yu. Ya. Kharitonov, Ni Jia-tsang, A. V. Babaeva
645
Interaction of $\alpha$-methyltrimethylene with chlorosilanes, aluminium chloride and titanium tetrachloride
N. I. Shuykin, I. E. Grushko, I. F. Bel'skii
649
A mass-spectrometer study of the composition of vapour over rare-earths
S. A. Shchukarev, G. A. Semenov
652
The influence of terminal substituents in 5-nitrofurylpolyene derivatives on their electron spectra
Ya. A. Èidus, K. K. Venter, S. A. Giller
655

PHYSICAL CHEMISTRY
Influence of oxygen atoms on burning at low pressures
V. Ya. Basevich, S. M. Kogarko
659
The influence of thermal interaction on the systems consisting of polymers and dispersed metals
S. D. Levina, K. P. Lobanova, A. V. Vannikov
662
Infrared absorption spectra of some $\mathrm{R}$$\mathrm{O}$$\mathrm{Li}$ compounds
A. P. Simonov, D. N. Shigorin, T. V. Talalaeva, K. A. Kocheshkov
665
Isotopic exchange between $\mathrm{O}_2^{18}$ and molten $\mathrm{Na}_2\mathrm{WO}_4^{16}$
Vikt. I. Spitsyn, V. G. Finikov, G. N. Zykova
668
Adsorption of aromatic and hydroaromatic compounds at a mercury/solution interface
A. N. Frumkin, R. I. Kaganovich, È. S. Bit-Popova
670

Number 4

MATHEMATICS
A space analogue of polynomials orthogonal on a circular arc
N. I. Akhiezer
769
Integral equations containing integrals taken over a surface with edges
T. G. Gegelia
773
On a theorem of Hurewicz
A. Zarelua
777
Polynomials orthogonal with respect to weight functions which are zero or infinite at isolated points of the interval of orthogonality
V. P. Konoplev
781
Some approximate methods of solving non-linear operator equations by linearization
M. A. Krasnosel'skii, Ya. B. Rutitskii
785
Radicals in group theory
A. G. Kurosh
789
Homogeneous, non-symmetric Riemannian spaces with an irreducible rotation group
O. V. Manturov
792
On the completeness of the zeros of entire functions
N. Meiman
796
The inverse mixed boundary-value problem for several unknown arcs
V. N. Monakhov
800
On the classification of fibre spaces
A. L. Onishchik
803
On the non-selfadjoint operator $-y"+q(x)y$ on a semiaxis
B. S. Pavlov
807
Infinite-dimensional homogeneous spaces
E. G. Sklyarenko
811
Some remarks on transfinite dimension
Yu. M. Smirnov
814
On homotopy duality
D. B. Fuchs
818
A method for the construction of Hermiteís interpolation formula, and quadrature formulas for solving boundary value problems and integral equations
I. S. Chara
822

FLUID MECHANICS
Motion of a piston with constant velocity in an inhomogeneous medium
M. P. Mikhailova
826

MATHEMATICAL PHYSICS
The shift of the branch point in the mass operator of formal perturbation theory for a nonideal Fermi–Dirac system
V. V. Tolmachev
829

CHEMISTRY
Catalytic dimethylation of isomeric cresols to phenol by the action of steam
A. A. Balandin, T. A. Slovokhotova, Yu Jia-yun
839
Organosilicon compounds with hydrocarbon bridges between silicon atoms. Thermal transformations
V. M. Vdovin, K. S. Pushchevaya, A. D. Petrov
843
The use of $\mathrm{N}^{15}$ in studying the mechanism of the interaction between nitrosoaryls and hydrazoic acid
B. A. Geller, L. S. Samosvat
847
An investigation of selenocyanate complexes of cobalt and nickel
A. M. Golub, V. V. Skopenko
851
The structure of Sabinen's monohydrochloride
M. I. Goryaev, G. A. Tolstikov
855
The microstructure and spectra of benzylidenaniline and azobenzene derivatives and their salts
V. A. Izmailsky, E. E. Milliaresi
857
Reaction of 5-alkoxyoxazoles with maleic anhydride
G. Ya. Kondrat'eva, Huang Chih-heng
861
The composition of hydrolysis products in aluminium chloride solutions
È. A. Levitskii, V. N. Maksimov
865
Microestimation of carbon and hydrogen in organic compounds by gas chromatography
B. M. Luskina, S. V. Syavtsillo, A. P. Terent'ev, N. M. Turkel'taub
869
A new method of producing iodonium compounds
O. Neilands, G. Vanag
872
Production and spectra of deuteronitroform
S. S. Novikov, K. K. Babievskii, V. A. Shlyapochnikov
875
Activities, heats and entropies of mixing in $\mathrm{NiFe}_2\mathrm{O}_4$$\mathrm{Fe}_3\mathrm{O}_4$ solid solutions
G. P. Popov, G. I. Chufarov
877
Calcium germanates and their properties
S. M. Royak, I. A. Prokhvatilova
880
On the equilibrium diagram of the aluminium-boron system
V. T. Serebryanskii, V. A. Èpel'baum, G. S. Zhdanov
884

PHYSICAL CHEMISTRY
Intramolecular migration of energy upon the radiolysis of alkylbenzenes
Kh. S. Bagdasar'yan, N. S. Izrailevich, V. A. Krongauz
887
The effects of external irradiation on the sorption properties of $\mathrm{BaSO}_4$
V. V. Gromov, Vikt. I. Spitsyn
891
The rate of breakdown of oxygen molecules at high temperatures
S. A. Losev
894
Electrochemical hydrogenation of allyl alcohol
M. E. Manzhelei, A. F. Sholin
897
Raman spectra of $\mathrm{AgClO}_4$ and its complex with benzene
Sh. Sh. Raskin
900
Redox potential of the $\mathrm{U}^{3+}/\mathrm{U}^{4+}$ system in a $\mathrm{NaCl}$$\mathrm{KCl}$ melt
M. V. Smirnov, O. V. Skiba
904
Inhibition limit in the thermal cracking of alkanes, as dependent on the nature of the inhibitor
A. D. Stepukhovich
908
On the ESR spectrum of frozen irradiated benzene
V. A. Tolkachev, Yu. N. Molin, I. I. Chkheidze, N. Ya. Buben, V. V. Voevodskii
911
An investigation into the structure of passive oxide films on the surface of titanium
N. D. Tomashov, R. M. Altovsky, M. Ya. Kushnerev
913
Measurement of the potential drop on a platinum anode after the polarizing current circuit is opened
A. N. Frumkin, V. V. Sobol'
917

Number 5

MATHEMATICS
A criterion for expanding functions into quasi-power series and quasi-analytic classes of functions
G. V. Badalyan
1009
A variational problem related to the Monge–Ampère equation
I. Ya. Bakelman
1011
Representations of the group $\mathrm{Z}_2\times\mathrm{Z}_2$ in a field of characteristic 2
V. A. Bashev
1015
On overconvergence of sequences of rational functions
A. A. Gonchar
1019
Bases in the space of functions analytic on a closed circle of $|z|\le R$
V. P. Zaharyuta
1023
Representation as a double integral of the divided difference of order $(m,n)$ of a function of two variables. I
D. V. Ionescu
1026
An effective solution of Tricomi singular problems for Chaplyginís equation
M. B. Kapilevich
1030
Riemannian spaces with orthogonal and symplectic motion groups and an irreducible rotation group
O. V. Manturov
1034
The structure and properties of invariant measurable partitions
V. A. Rokhlin, Ya. G. Sinai
1038
On a mapping of a Hilbert space into itself
S. S. Ryshkov
1042
On the extension of homeomorphisms
E. G. Sklyarenko
1045
Exact Weyl factors for unconditional convergence
P. L. Ul'yanov
1048
Approximation of functions of several variables with preservation of boundary conditions
A. L. Fuksman
1050

CYBERNETICS AND THE REGULATION THEORY
Coding by means of finite automata
Yu. V. Glebskii
1054

FLUID MECHANICS
Flow of a gas into a vacuum with energy liberation obeying a power law
V. Y. Neuvazhaev
1058

ASTRONOMY
A mechanism of the “splitting” of Lyman alpha quanta in nebulae
G. A. Gurzadyan
1061

MATHEMATICAL PHYSICS
A method for solving the problem of many bodies by means of high speed computers in the case of charged particles
S. P. Lomnev
1065

PHYSICS
Photoelectric emission from the surface of $\mathrm{Cr}_2\mathrm{O}_3$, $\mathrm{NiO}$ and $\mathrm{ZnO}$
F. I. Vilesov
1068
On the vibration excitation and breakdown of oxygen molecules at high temperatures
S. A. Losev, N. A. Generalov
1072
New data on the developmental mechanism of a long spark
I. S. Stekolnikov
1076

GEOPHYSICS
New cotidal maps of semidiurnal tidal waves ($M_2$ and $S_2$) in Australo-Asian seas
K. T. Bogdanov, V. P. Nefed'ev
1078

CHEMISTRY
Thallium polychromates
N. I. Bashilova
1083
Evaluation of the comparative electronegativity of substituents in aromatic heterocyclic systems by means of potentiometry
I. I. Grandberg, A. N. Kost
1087
Comparative acidity of hydroxyl groups in $D$-glucose, $\alpha$- and $\beta$-fnethyl-glucosides, maltose and cellobiose
V. A. Derevitskaya, G. S. Smirnova, Z. A. Rogovin
1090
The synthesis of 2-aralkylindandiones-1,3 by the catalytic hydrogenation of 2-arylidenindandiones-1,3
T. T. Dumpis, G. Ya. Vanag
1093
Tetrachlorides of titanium and tin as acceptors of radicals in hydrocarbon radiolysis
V. F. Evdokimov, I. Ya. Poddubnyi, I. A. Kuzin
1097
Divinyl sulfoxide and divinyl sulfone in the diene synthesis with symmetric dienes
E. G. Kataev, F. R. Tantasheva
1101
Addition of dialkylphosphorous acids to 3,3'-dimethoxy-diphenyl-4,4'- and diphenylmethane-4,4'-diisocyanates
E. V. Kuznetsov, M. I. Bakhitov
1105
Reaction of ketene with mercury salts
I. F. Lutsenko, V. L. Foss, N. L. Ivanova
1107
The effect of the formation of a complex on the separation of elements by cocrystallization
N. B. Mikheev, L. M. Mikheeva
1109
Reaction of bismuth chloride with chlorides of alkali metals
I. F. Nichkov, O. A. Ryzhik, S. P. Raspopin
1113
The synthesis of the paraaminosalicyl ester of polyvinyl alcohol
S. N. Ushakov, L. B. Trukhmanova, È. V. Drozdova, T. M. Markelova
1117

PHYSICAL CHEMISTRY
Stabilization of free radicals in ionic crystal matrices
Yu. M. Boyarchuk, N. Ya. Buben
1120
On the coefficient of condensation (sticking) of gas molecules in their chemisorption at a metal surface
V. M. Gavrilyuk
1124
Self-diffusion of alkali ions in silicate melts
V. I. Malkin, B. M. Mogutnov
1127
Leading stage in burning
A. D. Margolin
1131
Potential distribution at the interface between germanium and the electrolyte solution
Yu. V. Pleskov, V. A. Tyagai
1135
Electroreduction of anions and the second-kind polarographic maxima
S. Satyanarayan, N. V. Nikolaeva-Fedorovich
1139
The effect of different kinds of radiation on the catalytic dehydration of $n$-decyl alcohol
Vikt. I. Spitsyn, Ion Maxim, G. N. Pirogova, I. E. Mikhailenko, P. N. Kodochigov
1143
After-effects in air-saturated sulfate solutions of ferrous sulfate containing ethyl alcohol, when acted upon by pulsed radiation of electrons
L. È. Stolyarchik, A. K. Pikaev
1147


V. F. Zhdanovich
1008

Number 6

MATHEMATICS
Approximation by piecewise polynomial functions
Yu. A. Brudnyi, I. E. Gopengauz
1283
On quasi-analytic continuation of analytic functions
A. A. Gonchar
1287
Continual integrals and characteristics related to a group of operators
Yu. L. Daletskii
1290
Representation as a double integral of the divided difference of order $(m,n)$ of a function of two variables. II
D. V. Ionescu
1294
On the stability of solutions of second-order equations
A. Yu. Levin
1298
Structure of polynomial ideals and their factor spaces in spaces of infinitely differentiable functions
V. P. Palamodov
1302
Summability of the product of two numerical series
M. F. Poluyanova
1306
On the strong law of large numbers for non-homogeneous Markov chains
M. Rosenblatt-Roth
1310
Periodic solutions of boundary-value problems without initial conditions for parabolic equations
I. I. Shmulev
1313

CYBERNETICS AND THE REGULATION THEORY
The coalition of systems of equations of Boolean algebra and their solution
V. N. Grebenshchikov
1317
Self-adaptive automata for decoding messages
V. I. Levenshtein
1320
Road net transportation with losses
S. M. Shvartin
1324

MECHANICS
The rotation of a deformable body
V. G. Nevzglyadov
1328

MATHEMATICAL PHYSICS
On theory of the multiplication of causal functions
V. Garchinskii
1332
Point interaction for a three-particle system in quantum mechanics
R. A. Minlos, L. D. Faddeev
1335

PHYSICS
Distribution of $\alpha$-particles over energies in the photodisintegration of argon
A. P. Komar, B. A. Bochagov, G. E. Solyakin
1339
Distribution of electrons with respect to kinetic energy in the photoelectric effect from dyestuff layers
B. L. Kurbatov, F. I. Vilesov
1343
Emission of high-energy $\alpha$-particles in nuclear splittings by protons
Zh. S. Takibaev, E. V. Shalagina, G. R. Tsadikova
1347

GEOPHYSICS
Averaging of balance equations in oceanology
G. N. Ivanov-Frantskevich
1350

HEAT ENGINEERING
Generalization of experiment data concerning the influence of heated channel length on critical heat flows
Z. L. Miropol'skii, L. E. Faktorovich
1353

ELECTRICAL ENGINEERING
Homogeneous compensator circuits
K. B. Karandeev, K. M. Sobolevskii
1357

CRYSTALLOGRAPHY
Observation of internal stresses about dislocations in silicon
V. L. Indenbom, V. I. Nikitenko, L. S. Milevskii
1360

CHEMISTRY
cis-trans-Isomerization of 1,4-polybutadiene links under the influence of nitrogen dioxide
I. I. Ermakova, B. A. Dolgoplosk, E. N. Kropacheva
1363
An investigation of infrared absorption spectra when resole phenol-formaldehyde resin is solidifying
L. A. Igonin, M. M. Mirakhmedov, K. I. Turchaninova, A. N. Shabadash
1366
The simplest unsaturated dialkylhydrozones
B. V. Ioffe, K. N. Zelenin
1369
Addition of thiourea and selenourea to unsaturated electrophile reactants
E. G. Kataev, L. K. Barinova
1373
New data on the reduction of copper oxides by gases at low temperatures ($<100^\circ$)
M. S. Kurchatov
1376
Isomerisational hydrolytic and redoxy transformations of 3-carboxy-4-carboxymethyl-5-$n$-chlorophenylazotropolone
F. A. Mendelevich, M. M. Shemyakin
1380
Daucene, a new sesquiterpene hydrocarbon
G. V. Pigulevskii, V. I. Kovaleva
1384
Synthesis and properties of tri-($\omega$-styryl)-boron
A. V. Topchiev, A. A. Prokhorova, M. V. Kurashev
1386
Equilibrium between the tetrazole and azide forms in benzothiazole tetrazole
Yu. N. Sheinker, I. Ya. Postovskii, N. P. Bednyagina, L. B. Senyavina, L. F. Lipatova
1388
Regrouping of certain organotin and organolead peroxides
V. A. Shushunov, T. G. Brilkina
1391
Production of fluorophenols by hydrolysis of fiuorohalobenzenes
G. G. Yakobson, T. D. Rubina, N. N. Vorozhtsov (jr.)
1395

PHYSICAL CHEMISTRY
Radiolysis of $n$-hexane within the range of low integral doses $(3\cdot10^{18}-1\cdot10^{20}$ ev/ml)
V. G. Berezkin, A. E. Mysak, L. S. Polak
1397
The influence of radioactive radiation energy on the rate of evaporation of a solid
I. E. Zimakov, Vikt. I. Spitsyn
1400
Theory of the double electric layer in concentrated solutions
V. G. Levich, V. S. Krylov
1403
Proton magnetic resonance in selenourea
G. M. Mikhaĭlov, A. G. Lundin, S. P. Gabuda, K. S. Aleksandrov
1406
The sorption of water vapour by sulfoacid and carboxyl cationites
B. P. Nikol'skii, N. F. Bogatova
1409
The influence of adsorbed hydrogen and oxygen on the potential changes at a platinized electrode due to adsorption
A. D. Obrucheva
1413
The influence of cations on oxygen overvoltage
A. N. Frumkin, R. I. Kaganovich, E. V. Yakovleva, V. V. Sobol'
1416
The effect of the surface on the shape and behaviour of molecular patterns
V. A. Shishkin
1420

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 Dokl. Akad. Nauk, Volume 344 (1995)

 Dokl. Akad. Nauk, Volume 345 (1995)

 Dokl. Akad. Nauk, Volume 346 (1996)

 Dokl. Akad. Nauk, Volume 347 (1996)

 Dokl. Akad. Nauk, Volume 348 (1996)

 Dokl. Akad. Nauk, Volume 349 (1996)

 Dokl. Akad. Nauk, Volume 350 (1996)

 Dokl. Akad. Nauk, Volume 351 (1996)

 Dokl. Akad. Nauk, Volume 352 (1997)

 Dokl. Akad. Nauk, Volume 353 (1997)

 Dokl. Akad. Nauk, Volume 354 (1997)

 
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