Search results for: V. A. Skvortsov

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article

The Sedimentary–Migration–Igneous Hypothesis of Oil Formation

V. A. Skvortsov

Doklady Earth Sciences > 2019 > 486 > 2 > 692-694

Physical–chemical simulation of the conditions of hydrocarbon formation at the Erema–Chona oil accumulation (Lena–Tunguska petroleum province) revealed that methane and organic matter accumulates at the basin bottom at the stage of sedimentogenesis (T = 35°C, P = 0.1 MPa). At the stage of diagenesis (T = 60°C, P = 5–10 MPa) (60–100 m depth), during the formation of oil-source rocks, films and drops...

article

Comparison of Some Trigonometric Integrals

P. A. Sworowski, V. A. Skvortsov

Mathematical Notes > 2018 > 104 > 1-2 > 303-308

We show that Preiss–Thomson’s AS-integral is inconsistent with Burkill’s SCPintegral, James’ P²-integral, and Denjoy’s totalization T_2s over the class of functions with continuous primitives.

article

Integration of Banach-valued functions and Haar series with Banach-valued coefficients

V. A. Skvortsov

Moscow University Mathematics Bulletin > 2017 > 72 > 1 > 24-30

It is proved that for any Banach space each everywhere convergent Haar series with coefficients from this space is the Fourier–Haar series in the sense of Henstock type integral with respect to a dyadic differential basis. At the same time, the almost everywhere convergence of a Fourier–Henstock–Haar series of a Banach-space-valued function essentially depends on properties of the space.

chapter

Some properties of dyadic primitives

V. A. Skvortsov

Lecture Notes in Mathematics > New Integrals > 167-179

article

Working conditions of a converter installation with electromagnetic compatibility

E. V. Zagorodskikh, V. A. Skvortsov

Russian Electrical Engineering > 2016 > 87 > 1 > 14-16

This paper outlines the effect of the switching frequency and the conducting relative duration of a power switch in an impulse convertor on the level of conductive emission by a feed circuit in a frequency range of from 0.15 to 30 MHz. Expansion was performed of the rectangular impulse at frequencies of 50 and 100 kHz in the Fourier series in an LTSpice simulated system. The results of this research...

article

An Appraisal of Matching Devices for Measurements of Asymmetrical Industrial Radio Interference

E. V. Zagorodskikh, V. A. Skvortsov

Measurement Techniques > 2015 > 58 > 6 > 702-706

The justification for using a TK11 probe as an impedance matching device for measurements of asymmetrical industrial radio interference, for the purpose of supplies in the 0.15–30 MHz frequency band with a current strength of less than 25 A, is investigated. The conditions under which it is possible to use this probe for regulated measurements are determined.

article

Thermodynamic model of greenhouse gas emission in the atmosphere and climate change

V. A. Skvortsov, K. V. Chudnenko

Atmospheric and Oceanic Optics > 2015 > 28 > 1 > 56-63

A thermodynamic simulation of the emission of carbon, methane, nitrous oxide, and chlorofluorocarbons in the surface layer of the atmosphere has been carried out up to a height of 500 m at an average temperature of the Earth’s surface of 15°C and in lower layers of the troposphere at a height of up to 2 km at a temperature of 3°C and corresponding pressures of 1013.25 and 790 hPa. It was ascertained...

article

Integration of functions ranging in complex Riesz space and some applications in harmonic analysis

A. Boccuto, V. A. Skvortsov, F. Tulone

Mathematical Notes > 2015 > 98 > 1-2 > 25-37

The theory of Henstock—Kurzweil integral is generalized to the case of functions ranging in complex Riesz space R and defined on any zero-dimensional compact Abelian group. The constructed integral is used to solve the problem of recovering the R-valued coefficients of series in systems of characters of these groups by using generalized Fourier formulas.

article

Generalized Hake property for integrals of henstock type

V. A. Skvortsov, F. Tulone

Moscow University Mathematics Bulletin > 2013 > 68 > 6 > 270-274

An integral of Henstock-Kurzweil type is considered relative to an abstract differential basis in a topological space. It is shown that under certain conditions posed onto the basis this integral satisfies the generalized Hake property.

article

Henstock type integral in compact zero-dimensional metric space and quasi-measures representations

V. A. Skvortsov, F. Tulone

Moscow University Mathematics Bulletin > 2012 > 67 > 2 > 55-60

Properties of a Henstock type integral defined on a compact zero-dimensional metric space are studied. Theorems on integral representation of so-called quasi-measures, i.e., linear functionals on the space of “polynomials” defined on the space of the above mentioned type, are obtained.

article

Erratum to: Integration by Parts for Perron Type Integrals of Order 1 and 2 in Riesz Spaces

A. Boccuto, A. R. Sambucini, V. A. Skvortsov

Results in Mathematics > 2010 > 57 > 3-4 > 393-396

We note that the proof of differentiability of the integral function I ₂ given in [1, Theorem 7.9] needs some corrections which we present here.

article

Perron type integral on compact zero-dimensional Abelian groups

V. A. Skvortsov, F. Tulone

Moscow University Mathematics Bulletin > 2008 > 63 > 3 > 119-124

Perron and Henstock type integrals defined directly on a compact zero-dimensional Abelian group are studied. It is proved that the considered Perron type integral defined by continuous majorants and minorants is equivalent to the integral defined in the same way, but without assumption on continuity of majorants and minorants.

article

Integration by Parts for Perron Type Integrals of Order 1 and 2 in Riesz Spaces

A. Boccuto, A. R. Sambucini, V. A. Skvortsov

Results in Mathematics > 2007 > 51 > 1-2 > 5-27

.A Perron-type integral of order 1 and 2 for Riesz-space-valued functions is investigated. Some versions of integration by parts formula for this integral are proved for both orders.

article

Variational measures related to local systems and the Ward property of $$\mathcal{P}$$ -adic path bases

D. Bongiorno, L. Piazza, V. A. Skvortsov

Czechoslovak Mathematical Journal > 2006 > 56 > 2 > 559-578

Some properties of absolutely continuous variational measures associated with local systems of sets are established. The classes of functions generating such measures are described. It is shown by constructing an example that there exists a $$\mathcal{P}$$ -adic path system that defines a differentiation basis which does not possess Ward property.

article

Comparison of Two Generalized Trigonometric Integrals

V. A. Skvortsov, N. N. Kholshchevnikova

Mathematical Notes > 2006 > 79 > 1-2 > 254-262

The P ²-integral of James is compared with the T ²-integral. A trigonometric series convergent almost everywhere to a function which is T ²-integrable but not P ²-integrable is constructed.

article

Improper Riemann Integral and Henstock Integral in ℝⁿ

P. Muldowney, V. A. Skvortsov

Mathematical Notes > 2005 > 78 > 1-2 > 228-233

The Henstock integral in ℝⁿ and its relation to the n-dimensional improper Riemann integral are studied. A Hake-type theorem for the Henstock integral in ℝⁿ is proved.

article

To the Calculation of Widths and Shifts of Microwave Spectral lines

V. A. Skvortsov

Russian Physics Journal > 2003 > 46 > 12 > 1203-1212

Within the framework of semiclassical collision theory, the method of rigorous calculation of widths and shifts of spectral lines is suggested that is not limited by the second order of perturbation theory and two-level approximation. Calculations are performed for spectral lines of a number of molecules perturbed by a classical dipole, and the deviation of the results obtained within the framework...

article

On Self-Broadening and Self-Shift of Ammonia Inversion Lines

V. A. Skvortsov

Russian Physics Journal > 2002 > 45 > 6 > 574-582

Self-broadening and self-shift of lines of the inversion spectrum of ammonia in the ground vibrational state are calculated by the semi-classical theory of collisions in the two-state approximation for the infinite interaction energy of colliding molecules. The results obtained are close to the experimentally measured values and differ significantly from the results of calculations by the same theory...

article

To the Nonadditivity Mechanism of Collisionally-Perturbed Spectral Line Widths and Shifts

A. F. Krupnov, V. A. Skvortsov

Russian Physics Journal > 2001 > 44 > 4 > 339-347

A qualitative mechanism of violation of the additivity of frequency shifts of molecular collisionally-perturbed spectral lines suggested in [1] has been confirmed. On the examples of ammonium and other diatomic molecules, the determining role of the intermediate mechanism, linking strong and week molecular collision regions and leading to the observed nonadditivity of line broadening and shifts, is...

article

Thermonuclear fusion under high-velocity cluster impact

A. N. Lebedev, V. E. Fortov, V. A. Skvortsov

International Journal of Impact Engineering > 1997 > 20 > 6-10 > 511-515

Numerical investigations have been carried out for thermonuclear fusion processes under hypervelocity impact of micro-projectile composed of deuterium-tritium mixture on a surface of solid target. The results are discussed. Crucial thermonuclear fusion initiation parameters are defined.

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