Dokl. Akad. Nauk SSSR, 1962, Volume 147, Number 3

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1962, Volume 147, Number 3

MATHEMATICS
	Approximation of periodic functions of class $W_{p,\theta}^{(r_1,r_2)}$ by Fourier sums Ю. L. Bessonov	519
	On the potential of a double layer for non-regular domains Yu. D. Burago, V. G. Maz'ya, V. D. Sapozhnikova	523
	Stability of motion of systems without a unique equilibrium position A. Kh. Gelig	526
	Construction of irreducible representations of simple algebraic groups over a finite field I. M. Gel'fand, M. I. Graev	529
	On the convergence of variational processes I. G. Globenko	533
	On locally normal groups Yu. M. Gorchakov	537
	On a class of imbedding theorems with weight I. A. Kipriyanov	540
	Fourier transforms of certain classes of generalized functions N. S. Landkof	544
	On a boundary-value problem V. P. Mikhailov	548
	Cubature formulas for evaluating integrals over a sphere I. P. Mysovskikh	552
	Summation of Fourier integrals and best approximation by entire functions V. G. Ponomarenko	556
	Extremal properties of solutions of elliptic equations A. G. Teterev	559

THE MECHANICS OF CONTINUOUS MEDIUM
	The continuous theory of elastic interaction of atoms in interstitial solid solutions G. L. Krasko, B. Ya. Lubov	562

THEORY OF ELASTICITY
	A nonlinear theory-of-functions boundary problem in some elastoplastic problems G. P. Cherepanov	566

MATHEMATICAL PHYSICS
	The method of separation of variables in the problem of scattering by a body of arbitrary shape R. G. Barantsev	569
	A generalization of a theorem of T. Regge O. S. Parasyuk	571

PHYSICS
	A new determination of the light scattering constant of benzene M. F. Vuks, N. B. Rozhdestvenskaya	573
	Investigation of plasma escape through magnetic gaps of traps with a field growing to the periphery L. L. Gorelik, N. G. Koval'skii, I. M. Podgornyi, V. V. Sinitsyn	576
	A contribution to the theory of the specific heat of linear polymeres at low temperatures. Vibration spectrum and specific heat Yu. Ya. Gotlib, I. V. Sochava	580
	Messbauer's effect on admixture nuclei at low temperatures I. P. Dzyub, A. F. Lubchenko	584
	On the different parametrizations in the quantized space-time theory V. G. Kadyshevskii	588
	Radiation disturbances in quartz E. V. Kolontsova, I. V. Telegina	592
	Allowance for averaging over the oscillatory ground state in computing the second moment of the nuclear magnetic resonance signal N. N. Korst, V. A. Saveliev, N. D. Sokolov	594
	Production of strong shock waves in the laboratory N. P. Novikov	597
	The group of a four-dimensional isospin and the hypodischarge in the axiomatic quantum field theory Yu. V. Novozhilov	600

GEOPHYSICS
	Extent of natural light polarization at sea V. A. Timofeeva	604

CHEMISTRY
	The effect of $\gamma$-radiation on $\mathrm{Na}_2\mathrm{O}$ – $\mathrm{Al}_2\mathrm{O}_3$ – $\mathrm{SiO}_2$ glass V. V. Vargin, S. A. Stepanov	609
	The influence of pressure on the rate of Arbuzov reactions M. G. Gonikberg, I. Z. Fainshtein	612
	Determination of the steps of stable diagonals in a mutual septenary system of the 16 С type N. S. Dombrovskaya	615
	Hyperfine structure of electron spin resonance spectra of $\alpha$, $\alpha$-diphenyl-$\beta$-triphenylmethyl hydrazyl and its derivatives M. A. Ikrina, A. V. Il'yasov, B. M. Kozyrev, R. O. Matevosyan, Yu. M. Ryzhmanov, Yu. V. Yablokov	618
	On binary oxides containing tungsten, tantalum and niobium L. M. Kovba, V. K. Trunov	622
	Convallatoxoloside a new cardioglycoside from the seeds of Convallaria majalis L. N. F. Komissarenko	625
	Solubility of hydrogen in liquid iron below the boiling point V. I. Lakomskii	628
	Transformation of cyclic boron compounds under the action of methyl borate B. M. Mikhailov, L. S. Vasil'ev, È. N. Safonova	630
	$\alpha$-Pyridylferrocene and 1,1'-di-(pyridyl)-ferrocene A. N. Nesmeyanov, V. A. Sazonova, A. V. Gerasimenko	634
	Stereospecific polymerization of propylene as influenced by organic compounds with a closed $\pi$-сопjugate system of linkage G. A. Razuvaev, K. S. Minsker, R. P. Chernovskaya	636
	Interaction of toluene with phenylacetylene V. D. Ryabov, V. L. Vaiser, Zhu Yu-tung	639
	Electron spin resonance spectrum of benzyl radicals V. A. Tolkachev, I. I. Chkheidze, N. Ya. Buben	643
	The polyazines – a new class of polymeres with conjugate bonds A. V. Topchiev, Yu. V. Korshak, B. È. Davydov, B. A. Krentsel'	645

PHYSICAL CHEMISTRY
	The electrochemical oxidation of ethyl alcohol on a $\mathrm{Pt}$-anode, as affected by X-rays S. A. Brusentseva, D. V. Kokoulina, P. I. Dolin	649
	The vibrational absorption spectrum of chloroform as influenced by pressure Yu. A. Klyuev, A. N. Terenin	653
	Inorganic models of Hill's reaction A. A. Krasnovskii, G. P. Brin	656
	Adsorption of methyl cyclohexane from solutions at elevated temperature I. V. Smirnova, K. V. Topchieva, A. A. Kubasov, L. V. Savchenko	660
	The influence of the radioactive radiation of the solid phase on the recrystallization kinetics of potassium sulphate Vikt. I. Spitsyn, V. V. Gromov	663

	Поправки к статье “О некоторых сравнениях для количества представлений суммами нечетного числа квадратов” (ДАН, т. 143, № 2, 1962 г.) A. A. Kiselev, I. Sh. Slavutskii