Zobrazeno 1 - 10
of 40
pro vyhledávání: '"T.V. Rodionov"'
Autor:
T.V. Rodionov, V. K. Zakharov
Publikováno v:
The interdisciplinary journal of Discontinuity, Nonlinearity, and Complexity. 9:591-605
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a41673228e6e188e26d853d46c0c3cb7
https://doi.org/10.5890/dnc.2020.12.012
https://doi.org/10.5890/dnc.2020.12.012
Autor:
V. K. Zakharov, T.V. Rodionov
Publikováno v:
Asian Research Journal of Mathematics. :13-39
The paper is devoted to construction of some closed inductive sequence of models of the generalized second-order Dedekind theory of real numbers with exponentially increasing powers. These models are not isomorphic whereas all models of the standard
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::113aa3a40ad8148f2a587dfb75574b0e
https://doi.org/10.9734/arjom/2020/v16i130167
https://doi.org/10.9734/arjom/2020/v16i130167
Publikováno v:
Scopus-Elsevier
The remarkable class of measurable functions was introduced by classics of function theory. It has found different applications in various branches of mathematics. However this class turned out too restrictive for solving some natural mathematical pr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7d161b052473ed9ded29e3ad4ae69328
https://doi.org/10.1007/s10958-016-2709-1
https://doi.org/10.1007/s10958-016-2709-1
Publikováno v:
Doklady Mathematics. 92:559-562
The classical works in function theory (by E. Borel, R. Baire, H. Lebesgue, F. Hausdorff, et al.) laid down the foundation of the classical descriptive theory of functions. Its initial notions are those of a descriptive space and of a measurable func
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8ca561e74aaf6e998862eb9a1c9f344f
https://doi.org/10.1134/s1064562415050166
https://doi.org/10.1134/s1064562415050166
Autor:
T.V. Rodionov, V. K. Zakharov
Publikováno v:
Mathematical Notes. 95:500-508
It is well known that the family of all continuous functions on a topological space contains all constant functions and is closed with respect to the usual pointwise operations (addition, multiplication, finite supremum and infimum, division) and uni
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::55a714b8117a902fff556318aab25f28
https://doi.org/10.1134/s0001434614030225
https://doi.org/10.1134/s0001434614030225
Autor:
T.V. Rodionov, V. K. Zakharov
Publikováno v:
Acta Mathematica Hungarica. 142:384-402
There are two widely known functional hierarchies on a topological space \((T,\mathcal {G})\). The transfinite chain \(A(T)\subset\dots\subset \operatorname{Lim}_{\alpha}A(T) \subset\dots\subset \operatorname{Lim}_{\omega_{1}}A(T)\), where A(T) is an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4913d03e702b0703fa96c0456bd435d0
https://doi.org/10.1007/s10474-013-0355-3
https://doi.org/10.1007/s10474-013-0355-3
Publikováno v:
Journal of Mathematical Sciences. 185:417-429
The problem of characterization of integrals as linear functionals is considered in the paper. It starts from the familiar results of F. Riesz (1909) and J. Radon (1913) on integral representation of bounded linear functionals by Riemann–Stieltjes
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7e20b1a062df1d351c01112b6669c053
https://doi.org/10.1007/s10958-012-0924-y
https://doi.org/10.1007/s10958-012-0924-y
Publikováno v:
Doklady Mathematics. 82:613-616
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2f345ee65ec98c4d75595267dcde7923
https://doi.org/10.1134/s1064562410040290
https://doi.org/10.1134/s1064562410040290
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Autor:
V. K. Zakharov, T.V. Rodionov
Publikováno v:
Mathematical Notes. 84:756-770
Borel, Lebesgue, and Hausdorff described all uniformly closed families of real-valued functions on a set T whose algebraic properties are just like those of the set of all continuous functions with respect to some open topology on T. These families t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0f8d15f0df2f49d6fdd6bcdfaeedb447
https://doi.org/10.1134/s0001434608110205
https://doi.org/10.1134/s0001434608110205