SovietRxiv · Open Access in English
Rediscovering the Soviet scientific archive, in English
25357 full-text translations 14926 English PDFs 22539 abstracts
Showing 50 of 25357 papers
This note classifies the irreducible unitary representations of the real general linear group GL(3,R). Using Kirillov’s theorem on the irreducibility of restrictions to a specified subgroup K, the argument reduces the classification to representations induced from K, whose inducing data involve irre…
This note studies a special case of the rotation of a heavy rigid body about a fixed point, under the condition that the center of gravity lies on the perpendicular to a circular section of the gyration ellipsoid. Starting from the standard equations of motion and their known first integrals, the au…
The paper develops a graphical formulation of the matching method for electrodynamic boundary-value problems by representing a partitioned volume as a functional network whose cells are described by operator admittance matrices. Evolution graphs are used to derive recurrence relations for loaded cha…
This review summarizes K. M. Ragulskis, I. I. Vitkus, and V. L. Ragulskene’s monograph on nonlinear oscillatory systems arising in self-synchronization and vibro-impact mechanics. It outlines the book’s use of modern differential equation methods to analyze self-synchronous transmissions with two de…
The paper studies minimax testing for detecting a multivariate Gaussian signal with unknown nondegenerate covariance, using repeated observations and alternatives defined by a prescribed or lower bounded relative signal energy. It argues that Hotelling’s T squared test, previously known to be minima…
This paper studies vacuum space-times admitting a covariantly constant vector field and relates them to Petrov type N gravitational fields. It derives a general coordinate form of the metric with six functions subject to four vacuum field equations, shows that the associated parallel vector is null …
This paper examines the relation between two approaches to deriving sum rules for form factors: charge algebra combined with dispersion relations, and current density algebra. Starting from equal-time commutation relations for current-like operators, the authors derive matrix-element relations using…
The paper studies bifurcation and stability of stationary axisymmetric rotational flows of a viscous incompressible fluid between coaxial rotating cylinders, including Couette flow as a special case. The Navier-Stokes problem is reformulated as a compact operator equation in a Hilbert space, and the…
This paper reformulates Einstein’s gravitational equations using three-dimensional tensor analysis in a conformal space whose metric is related to the time-dependent spatial metric by a scalar factor. It derives expressions for the temporal, mixed, and spatial components of the four-dimensional curv…
This paper investigates photoconductivity in organic dyes at microwave frequencies as a way to reduce distortions caused by contacts, grain boundaries, electrodes, and surface effects in heterogeneous powder and film samples. Using a resonator method at about 9600 MHz, the authors measured light-ind…
This paper studies singular convolution operators with anisotropic kernels arising, for example, from quasi-elliptic equations, extending the classical Calderón and Zygmund theory for isotropically homogeneous kernels. It introduces a generalized notion of homogeneity determined by a vector of dilat…
This paper develops a quantum theory of the unsteady photomagnetic effect in semiconductors in the regime of quantizing magnetic fields, where the usual quasiclassical kinetic treatment may fail. Using a density matrix description of electron and hole motion with isotropic dispersion and impurity sc…
This paper studies invariant subalgebras for algebras acted on by Lie groups, focusing on finite generation, the number of algebraically independent invariants, and the relation between invariants of a group and of a maximal nilpotent subgroup. It constructs a universal algebra for every connected L…
This paper studies single-nucleon states in an exactly solvable fixed-source field-theoretic model containing three heavy fermion states and a relativistic boson, as a generalization of the Lee model motivated by meson-nucleon resonances. The Schrödinger equation for the physical A-particle is reduc…
This paper develops an analytic method for solving operator equations of the first kind \(Ax=f\) in a Hilbert space when \(A\) is positive self-adjoint and zero belongs to its spectrum but is not an eigenvalue. It derives series and regularized limiting formulas for solutions, relates them to succes…
This paper addresses the need for direct pressure measurement in the range approaching 100 kbar, beyond the reliable range of earlier free-piston manometers and extrapolated calibration methods. The authors describe a free-piston manometer in which piston geometry, rotation, and lubrication are used…
The paper proves a reduction result for finite connected plane undirected multigraphs with distinguished poles under parallel-edge reduction, series reduction, and star-triangle transformations. It formulates a main lemma asserting that, after a finite sequence of pole-preserving star-triangle trans…
This paper studies the existence and construction of steady finite amplitude waves on the free surface of a finite layer of light liquid over a heavy liquid of infinite depth, together with waves on their interface. Using complex potentials and conformal variables, the hydrodynamic boundary conditio…
This note derives the Muskhelishvili and Vekua formula for the index of a system of one-dimensional singular integral equations by using elementary topological considerations. The system is represented through its symbol, equivalently an ordered pair of continuous nondegenerate matrix functions corr…
This note studies constructive mappings between sets equipped with equality relations, using normal algorithms as partial or complete mappings. It introduces nodal elements and proves that if a set contains such an element, then no nontrivial equality-preserving partial mapping complete on that elem…
This paper evaluates rate constants for principal ion molecular reactions relevant to ionospheric chemistry, focusing especially on reactions of atomic oxygen ions with molecular nitrogen and oxygen. It compares scattered laboratory measurements with estimates derived from ionospheric observations, …
This paper studies extremal problems for schlicht conformal mappings of a doubly connected domain bounded by the unit circle and a radial slit, normalized by sending the origin to the origin and prescribing the modulus of the derivative at the origin. It determines extremal mappings for maximizing a…
This paper reports the preparation of crack-free oriented single crystals of the ternary semiconductor CdSnAs2, a material whose study had been hindered by cracking during the polymorphic transformation from zinc-blende to chalcopyrite structure. The authors synthesize and zone-purify stoichiometric…
This paper examines kinematic conditions on slip surfaces in three dimensional rigid plastic bodies, especially for incompressible materials under the Tresca plasticity condition. Using discontinuity relations for velocities and strain rates, together with Cauchy strain rate formulas in surface coor…
This note studies bases and subspaces in spaces of continuous functions on metric compacta and in a broader class of Banach spaces characterized by finite-dimensional approximations close to spaces of continuous functions on finite sets. It gives criteria and constructions for interpolating bases in…
The paper studies how analytic growth conditions on the radical of a commutative Banach algebra affect decomposability. It introduces the radical sequence, defined by the supremum of norms of powers of unit radical elements, and proves that if this sequence satisfies a rapid decay condition involvin…
The paper formulates a representation of states for systems of several noninteracting quantized fields of arbitrary spin, motivated by the study of general properties of the S-matrix. It constructs a countably normed space of regular multiparticle states, embeds it in a rigged Hilbert space, and des…
Electron paramagnetic resonance was studied for manganese-doped glassy Tl2SeAs2Se3 samples containing 0.1 to 1 wt.% Mn at 300, 77, and, for one sample, 4.2 K. The spectra generally contain two resonance lines, with g approximately 4.3 and g approximately 2, whose intensities, widths, and temperature…
The study addresses the lack of absolute experimental data on electron-impact excitation cross sections for the resonance doublets of cesium and rubidium, where measurements are complicated by self-absorption of resonance radiation. A movable-window excitation tube was developed to vary the absorbin…
This paper develops a method for computing Radon-Nikodym derivatives between Gaussian measures generated by Gaussian processes, using Aronszajn’s theory of reproducing kernel Hilbert spaces. It reformulates necessary and sufficient equivalence conditions in terms of the covariance kernels, showing t…
This paper studies when classes of infinitely differentiable functions, analytic in an angle on the complex plane or on the Riemann surface of the logarithm, are nontrivial under prescribed uniform bounds on all derivatives. It gives necessary and sufficient conditions on the bounding sequence for a…
The paper studies a constrained Chebyshev approximation problem in the complex domain for continuous complex-valued functions on a bicompact Hausdorff space, where admissible generalized polynomials have coefficients satisfying prescribed independent linear relations. Extending earlier results on Ma…
The paper studies Banach spaces decomposed into two complemented subspaces and equipped with an indefinite J-metric, focusing on maximal J-nonnegative subspaces and J-nonnegative operators. It establishes extension and maximality criteria for such subspaces, including conditions under which every J-…
The paper establishes limit theorems for distributions of functionals of stochastic processes that, after suitable normalization, are asymptotically close to Markov processes. It formulates recurrence, moment, and local conditional increment conditions for an underlying process, using cycles defined…
This note proves an upper semicontinuity property for the \(k\)-dimensional variation of closed subsets of Euclidean space, where variation is defined by integrating the number of connected components of intersections with complementary planes. The main theorem states that if closed sets converge in…
The paper studies linearly ordered spaces with the interval topology, focusing on ordered bicompact extensions, ordered proximity structures, ordered absolutes, and ordered products. It proves the existence and characterizes the maximal ordered bicompact extension, relates it to Čech and Aleksandrov…
This paper studies a parameter-dependent system of differential equations near a composite equilibrium of saddle-saddle type with one zero characteristic root, under the assumption that a trajectory leaves the equilibrium and returns to it. The author analyzes the local structure of separatrix surfa…
The paper studies the Dirichlet problem for strongly coupled elliptic systems of two second-order equations with constant coefficients, extending earlier work beyond special characteristic-root cases. It gives necessary and sufficient algebraic conditions for ellipticity and strong coupling, reduces…
The paper studies dissipative non-self-adjoint operators of class iOmega with absolutely continuous spectrum through Livshits characteristic matrix functions and triangular models. It establishes boundary value formulas for the associated multiplicative integral without a boundedness assumption on t…
This paper examines the influence of a plasma’s self-consistent radial electric field on low-frequency groove-type instability in a rarefied, inhomogeneous, uncompensated ion-electron plasma in a weakly nonuniform magnetic field. Starting from a drift-approximation differential equation for longitud…
The paper studies regularized trace formulas for differences of singular Sturm-Liouville operators on the half-line using Krein’s spectral shift function. For operators differing by an integrable potential, it proves integrability and asymptotic properties of the spectral shift function and derives …
