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1963, Volume 152, Number 2  


MATHEMATICS
Criteria for regular functions to belong to two classes of functions of two complex variables
I. I. Bavrin
255
On the spectral decomposition for a class of non-selfadjoint operators
V. Ya. Volk
259
Some inequalities between the norms of partial derivatives of functions of several variables
V. P. Il'in
262
On the completeness of the system $\{e^\lambda n^z\}$ in a closed strip
A. F. Leont'ev
266
On the fundamental solutions of elliptic equations
M. V. Lomonosov
269
On strict representability of sets by calculi
S. Yu. Maslov
272
The group of non-singular matrices over a finite field, and recurrent sequences
V. I. Nechaev
275
Constructive mappings of polyhedra
V. P. Orevkov
278
Spectral properties of the Schrödinger operator in domains of unbounded frontier
A. G. Ramm
282
Stability in Liouville's theorem on conformal mappings of space
Yu. G. Reshetnyak
286
Dual extremal problems
G. Sh. Rubinshtein
288
Some properties of arithmetic operations over duplexes
A. O. Slisenko
292
Univalent mappings of plane domains and sets of prime ends of a domain of generalized measure zero
G. D. Suvorov
296

CYBERNETICS AND THE REGULATION THEORY
Application of automatic control systems of variable structure for the control of objects whose parameters vary over a wide range
S. V. Emel'yanov, V. I. Utkin
299
Stability of processes in non-linear sampled-data systems
Ya. Z. Tsypkin
302

MECHANICS
Motion of a free gyroscope on a non-stationary basis with allowance for the masses of the Cardan suspension rings
L. A. Bunatyan
305

PHYSICS
The fine structure of damping times for edge radiation bands in $\mathrm{GaP}$ crystals
E. F. Gross, D. S. Nedzvetskii
309
On theory of the motion of charge-carrying particles in a strong magnetic field when a strong transverse electric field is present
V. S. Kudryavtsev
313
An optical method of determining the melting point of graphite as dependent on pressure of up to 40000 atm.
N. S. Fateeva, L. F. Vereshchagin, V. S. Kolotygin
317
Virial expansion in the problem of electrostatic polarization of a system of many bodies
V. M. Finkel'berg
320

GEOPHYSICS
Reconciliation of the available experimental data on the spectrum and asymmetry of locally isotropic turbulence
R. U. Stuart
324

CRYSTALLOGRAPHY
The crystal structure of hodgkinsonite $\mathrm{Zn}_2\mathrm{Mn}[\mathrm{SiO}_4](\mathrm{OH})_2$
L. P. Solov'eva, N. V. Belov
327

CHEMISTRY
Effect of bromine on the optical properties of purine and pyrimidine bases
A. A. Baev, A. D. Mirzabekov, V. I. Gorshkova, T. V. Venkstern
331
Interaction of 2,6-dimethylol-4-tret.butylphenol with unsaturated elastomers
L. V. Ginzburg, V. A. Shershnev, B. A. Dogadkin
335
Interaction between organomagnesium compounds and halogen alkyls in a dimethoxyethane solution
L. I. Zakharkin, K. A. Bilevich, O. Yu. Okhlobystin
338
Interaction of $\Delta^3$-carene oxide with methyl alcohol in the presence of sodium methylate
Z. G. Isaeva, I. S. Andreeva
342
Fusibility diagram of the $\mathrm{Cl}_2\mathrm{O}_7$$\mathrm{SO}_3$$\mathrm{H}_2\mathrm{O}$ system in the region of high perchloric and sulphuric acid concentrations
N. A. Shirova, A. A. Zinov'ev, V. I. Mikheeva
346

PHYSICAL CHEMISTRY
Two-quantum photochemical reaction. The photolysis of a frozen solution of diphenylamine in ethyl alcohol
Kh. S. Bagdasar'yan, V. I. Muromtsev, Z. A. Sinitsyna
349
Electron spin resonance spectrum of the cyclohexyl radical when cyclohexane is radiolysed in the gas-crystal state
N. Ya. Buben, Yu. N. Molin, A. I. Pristupa, V. N. Shamshev
352
Gas evolution kinetics in low-temperature radiolysis of paraffine and polyethylene
G. K. Vasil'ev, V. E. Skurat, V. L. Tal'roze
356
On the relative stability of isomers in $\mathrm{MX}_{k-2}\mathrm{Y}_2$ molecules
V. M. Volkov, A. A. Levin, M. E. Dyatkina
359
Dissolution of germanium in some ternary semiconducting compounds
N. A. Goryunova, V. I. Sokolova, Tsian Bin-Si
363
Photochemical oxidation of chlorophyll $a$ in frozen solutions
I. I. Dilung, V. E. Karpitskaya
367
Phase transition of the second kind in 2,4,6 -trinitrophenol
B. N. Egorov, G. B. Ravich, B. G. Krylov
370
Stability of emulsions
L. Ya. Kremnev, L. A. Nikishechkina, A. A. Ravdel
372
The times of nuclear magnetic relaxation of protons and deutons in aqueous solutions of $\mathrm{Mn}^{2+}$ ions, as dependent on the temperature
R. K. Mazitov
375
Charging curves of the boride catalysts of $\mathrm{Pt}$-group metals
A. M. Taber, A. A. Balandin, D. V. Sokol'skii, B. D. Polkovnikov
379
Adsorption modification of dispersed quartz, and structure formation in solutions of rubber
E. D. Yakhnin, A. B. Taubman
382

Поправки к статье “Синтез и некоторые свойства низших кристаллогидратов перренатов иттрия, лантана и лантаноидов” (ДАН, т. 150, № 1, 1963 г.)
V. E. Plyushchev, V. M. Amosov, M. B. Varfolomeev
 
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