Dokl. Akad. Nauk SSSR, 1971, Volume 196, Number 1

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1971, Volume 196, Number 1

MATHEMATICS
	Generalized integral representations in the case of a polycylinder I. I. Bavrin	9–11
	On some topological invariants of nonlinear Fredholm mappings Yu. G. Borisovich, Yu. I. Sapronov	12–15
	On automaton and “tape” complexity of the predicate "to be a $k$-th power of an integer" Yu. Ya. Breitbart	16–19
	On Banach and Dedekind completeness of spaces of continuous functions, vector lattices and maximal rings of quotients A. I. Veksler	20–23
	On solvability of mixed problems for a class of quasi-linear differential equations V. P. Grigor'ev	24–27
	Global solvability of multidimensional difference equations and a construction of Spencer type A. A. Dezin	28–31
	Boundary value problems for some classes of high-order differential operator equations Yu. A. Dubinskii	32–34
	On the Riemann–Hilbert problem for a multiply connected domain L. E. Dunduchenko	35–37
	The asymptotics of growth trajectories in Gale–von Neumann models I. A. Krass	38–39
	Functors in the category of vector spaces V. V. Kuznetsov, A. S. Schwarz	40–43
	The spectral properties of selfadjoint and nonselfadjoint Schrödinger operators in infinite domains Kh. Kh. Murtazin	44–46
	On invertibility of differential operators in the space of continuous functions bounded on the real axis È. Muhamadiev	47–49
	On the growth of $Q$-pseudomeromorphic functions V. P. Petrenko	50–52
	On small differences between “neighboring” prime ideals A. V. Sokolovskii	53–56
	On the solution of a mixed boundary problem A. G. Terent'ev	57–60
	Differential properties for solutions of a class of partial differential equations in unbounded regions S. V. Uspenskii	61–64

ASTRONOMY
	On a model of Uranus radio-emission A. D. Kuz'min	65–66
	The model of Venus atmosphere M. Ya. Marov	67–70

PHYSICS
	Criteria of thermal (overheat) instability of transparent radiating gas A. V. Getling, V. V. Kuzmin, B. A. Tverskoi	71–74
	The energy of interaction between neutral atoms in an external magnetic field A. V. Tulub, M. D. Bal'makov, S. A. Khallaf	75–77

GEOPHYSICS
	On sedimentary deposits of the South-Okhotsk abyssal depression S. S. Snegovskoi	87–90

CRYSTALLOGRAPHY
	The structure of $\mathrm{K}[\mathrm{MoO}_2\mathrm{Cl}_2\mathrm{H}_2\mathrm{O}]_3\mathrm{Cl}$ crystals L. O. Atovmyan, O. N. Krasochka	91–92

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