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Rodionov, Timofey Victorovich

Statistics Math-Net.Ru
Total publications: 15
Scientific articles: 14
Presentations: 2

Number of views:
This page:3141
Abstract pages:6858
Full texts:2534
References:771
Associate professor
Candidate of physico-mathematical sciences (2002)
Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
E-mail:
Keywords: Radon measure, Radon integral, regular measure, Borel functions, uniform functions, unifrom tightness, Prokhorov property, weak compactness, Riesz integral representation theorem, orthogonal systems, wavelets, frames, orthosimilar systems, integral representations
   
Main publications:
  1. Zakharov V.K., Rodionov T.V., Sets, Functions, Measures. Volume I: Fundamentals of Set and Number Theory, Walter de Gruyter Studies in Mathematics, 68/1, Walter de Gruyter, Berlin, 2018  zmath
  2. Zakharov V.K., Rodionov T.V., Mikhalev A.V., Sets, Functions, Measures. Volume II: Fundamentals of Functions and Measure Theory, Walter de Gruyter Studies in Mathematics, 68/2, Walter de Gruyter, Berlin, 2018  zmath
  3. Zakharov V. K., Rodionov T. V., “Class of uniform functions and its relation with class of measurable functions”, Math. Notes, 84:5–6 (2008)
  4. Zakharov V.K., Rodionov T.V., “Classifications of Borel functions and sets on arbitrary space”, Sbornik: Mathematics, 199:6 (2008), 49–84  crossref  mathscinet
  5. Rodionov T. V., “On frame expansions”, Proceedings of the Internat. Confer. on Numerical Analysis and Approximation Theory (Cluj-Napoca, Romania; July 4–8, 2006), eds. O. Agratini and P. Blaga, Casa Cărţii de ştiinţă, Cluj-Napoca, 2006, 365–376  mathscinet  zmath

https://www.mathnet.ru/eng/person8936
List of publications on Google Scholar
https://zbmath.org/authors/ai:rodionov.timofey-v
https://mathscinet.ams.org/mathscinet/MRAuthorID/662341
https://elibrary.ru/author_items.asp?spin=9677-7399
ISTINA https://istina.msu.ru/workers/840593
https://orcid.org/0000-0002-4364-1479
https://www.scopus.com/authid/detail.url?authorId=14059029100
https://arxiv.org/a/rodionov_t_1

Publications in Math-Net.Ru Citations
2022
1. A. Yu. Popov, T. V. Rodionov, “Uniform with Respect to the Parameter $a\in(0,1)$ Two-Sided Estimates of the Sums of Sine and Cosine Series with Coefficients $1/k^a$ by the First Terms of Their Asymptotics”, Trudy Inst. Mat. i Mekh. UrO RAN, 28:4 (2022),  177–190  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 319, suppl. 1 (2022), S204–S217  isi
2014
2. V. K. Zakharov, A. V. Mikhalev, T. V. Rodionov, “Postclassical families of functions proper for descriptive and prescriptive spaces”, Fundam. Prikl. Mat., 19:6 (2014),  77–113  mathnet  mathscinet; J. Math. Sci., 221:3 (2017), 360–383
3. V. K. Zakharov, A. V. Mikhalev, T. V. Rodionov, “Descriptive spaces and proper classes of functions”, Fundam. Prikl. Mat., 19:2 (2014),  51–107  mathnet  mathscinet; J. Math. Sci., 213:2 (2016), 163–200  scopus 1
4. V. K. Zakharov, T. V. Rodionov, “Naturalness of the Class of Lebesgue–Borel–Hausdorff Measurable Functions”, Mat. Zametki, 95:4 (2014),  554–563  mathnet  mathscinet  elib; Math. Notes, 95:4 (2014), 500–508  isi  scopus 3
2012
5. V. K. Zakharov, A. V. Mikhalev, T. V. Rodionov, “The characterization of integrals with respect to arbitrary Radon measures by the boundedness indices”, Fundam. Prikl. Mat., 17:1 (2012),  107–126  mathnet; J. Math. Sci., 185:3 (2012), 417–429  scopus 1
2010
6. V. K. Zakharov, A. V. Mikhalev, T. V. Rodionov, “Characterization of Radon integrals as linear functionals”, Fundam. Prikl. Mat., 16:8 (2010),  87–161  mathnet  mathscinet; J. Math. Sci., 185:2 (2012), 233–281  scopus 3
7. V. K. Zakharov, A. V. Mikhalev, T. V. Rodionov, “The Riesz–Radon–Fréchet problem of characterization of integrals”, Uspekhi Mat. Nauk, 65:4(394) (2010),  153–178  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 65:4 (2010), 741–765  isi  elib  scopus 6
2008
8. V. K. Zakharov, T. V. Rodionov, “A Class of Uniform Functions and Its Relationship with the Class of Measurable Functions”, Mat. Zametki, 84:6 (2008),  809–824  mathnet  mathscinet; Math. Notes, 84:6 (2008), 756–770  isi  scopus 9
9. V. K. Zakharov, T. V. Rodionov, “Classification of Borel sets and functions for an arbitrary space”, Mat. Sb., 199:6 (2008),  49–84  mathnet  mathscinet  zmath  elib; Sb. Math., 199:6 (2008), 833–869  isi  scopus 5
2003
10. T. V. Rodionov, “Estimates for the images of $L^p$-functions for a class of integral operators”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2003, no. 6,  7–11  mathnet  mathscinet  zmath
2001
11. T. V. Rodionov, “Analogues of the Hausdorff–Young and Hardy–Littlewood theorems”, Izv. RAN. Ser. Mat., 65:3 (2001),  175–192  mathnet  mathscinet  zmath; Izv. Math., 65:3 (2001), 589–606  scopus 1
2000
12. T. V. Rodionov, “Existence of almost everywhere convergent rearrangements of expansions with respect to systems similar to orthogonal ones”, Fundam. Prikl. Mat., 6:4 (2000),  1263–1268  mathnet  mathscinet  zmath
13. T. P. Lukashenko, T. V. Rodionov, “On convergence of generalized systems similar to orthogonal ones”, Fundam. Prikl. Mat., 6:3 (2000),  813–829  mathnet  mathscinet  zmath 1
14. T. V. Rodionov, “Orthogonalization of ortho-similar systems by extension to a wider set”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2000, no. 1,  9–12  mathnet  mathscinet  zmath

2019
15. V. A. Sadovnichii, V. N. Chubarikov, B. S. Kashin, V. V. Vlasov, V. V. Galatenko, V. E. Podolskii, T. V. Rodionov, V. A. Skvortsov, A. P. Solodov, “Taras Pavlovich Lukashenko (to 70th anniversary)”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2019, no. 2,  70–71  mathnet

Presentations in Math-Net.Ru
1. Архитектура современной математики
V. K. Zakharov, T. V. Rodionov
Infinite dimensional analysis and mathematical physics
December 16, 2019 18:30
2. On a new type of weak compactness of sets of bounded Radon measures on arbitrary Hausdorff spaces
V. K. Zakharov, T. V. Rodionov
Principle Seminar of the Department of Probability Theory, Moscow State University
December 11, 2019 16:45

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