1,204 research outputs found
Erratum to: Integration by Parts for Perron Type Integrals of Order 1 and 2 in Riesz Spaces
The proof of differentiability of the integral function I2 in
[Boccuto-Sambucini-Skvortsov, Integration by Parts for Perron Type Integrals of Order 1 and 2 in Riesz Spaces, Theorem 7.9]
is based on the sufficient condition for global differentiability;
given in the paper
Boccuto, A., Skvortsov, V.A.: Remark on the Maeda–Ogasawara–Vulikh representation theorem for Riesz spaces and applications to Differential Calculus. Acta Math. (Nitra) 9, 13–24 (2006).
thes statement given in that paper is not justified in properly. In fact the following question seems to be open: if the “componentwise differentiability” in the complement of a meager set does imply global differentiability, where the involved “components” are taken according to the Maeda–Ogasawara–Vulikh representation theorem for Riesz spaces.
To overcome this gap we present here a new proof of differentiability of the integral function I2
Kurzweil-Henstock type integral on zero-dimensional group and some of its applications
summary:A Kurzweil-Henstock type integral on a zero-dimensional abelian group is used to recover by generalized Fourier formulas the coefficients of the series with respect to the characters of such groups, in the compact case, and to obtain an inversion formula for multiplicative integral transforms, in the locally compact case
LIFE JOURNEY: MEDICAL AND SCIENTIFIC WORK OF PROFESSOR V.A. SOKOLOV
The article is dedicated to doctor of medicine, professor V.A. Sokolov. In 2017 he celebrates his eightieth birthday. Professor V.A. .Sokolov is one of the founders of polytrauma treatment in USSR and Russia. For a long time he had been heading polytrauma department at the N.V. Sklifosovsky Research Institute for Emergency Medicine. Due to his work, algorithms of life sustaining and recovery of serious patients were developed. Professor V.A. Sokolov is the author of 6 monographies and about 300 periodical papers. Besides, he is the holder of 32 patents. Some of his inventions were popularized and manufactured. He had been leading active scientific work, which resulted in 6 doctoral dissertations and 15 candidate theses. The staff of N.V. Sklifosovsky Research Institute for Emergency Medicine congratulates on the anniversary
To the word with love: dedicated to the anniversary of professor V.A. Maslova
The article presents a brief essay on the scientific biography and academic career of V.A. Maslova, Doctor of Philology, Professor of the Department of German Philology of Vitebsk State University named after P.M. Masherov. Valentina Maslova is one of the best-known modern Russian linguists. She is the author of more than 700 works including classic textbooks. The sphere of V.A. Maslova’s scientific interests includes cultural linguistics, cognitive linguistics, linguistic text analysis, language philosophy, etc. Valentina Maslova has been the leader of Vitebsk school of cultural linguistics for more than 20 years. Within this period there have been implemented several funded scientific projects, PhD theses and a doctoral thesis
Bible code in Bashlachev's lyrics. Book review: Gavrikov, V.A. (2021). Eschatology of Bashlachev: Monograph. Moscow, Kaluga, Venice: Bull Terrier Records. (In Russ.)
The author discusses the specifics of the book under review, describes V.A. Gavrikov main research approaches to Bashlachev's texts, and defines the methodological platform of the monograph. The fruitfulness of considering the poetic world of Bashlachev through the “bible” prism is proved. The relevance of the monograph by V.A. Gavrikov, due to the need to study the artistic ontology of Bashlachev in a linguo-poetic perspective. The main results of the study are identified, their theoretical and historical-literary significance is stated
Extreme states of matter and X-ray generation during vacuum-spark discharges under comparitively small applied voltage
- …
