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1961, Volume 141, 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
 
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