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Borodin, Petr Anatolevich

Statistics Math-Net.Ru
Total publications: 27
Scientific articles: 26
Presentations: 13

Number of views:
This page:4394
Abstract pages:10991
Full texts:2000
References:1024
Professor of Russian Academy of Sciences
Associate professor
Doctor of physico-mathematical sciences (2012)
Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
E-mail:
   
Main publications:
  1. P.A.Borodin, “O vypuklosti N-chebyshevskikh mnozhestv”, Izvestiya RAN. Ser. matem., 75:5 (2011), 19-46
  2. P.A.Borodin, “Plotnost polugruppy v banakhovom prostranstve”, Izvestiya RAN. Ser. matem., 78:6 (2014), 21-48

http://www.mathnet.ru/eng/person8531
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/357978

Publications in Math-Net.Ru
2018
1. P. A. Borodin, S. V. Konyagin, “Convergence to zero of exponential sums with positive integer coefficients and approximation by sums of shifts of a single function on the line”, Anal. Math., 44:2 (2018),  163–183  mathnet  isi  scopus
2. P. A. Borodin, “Approximation by Sums of the Form $\sum_k\lambda_kh(\lambda_kz)$ in the Disk”, Mat. Zametki, 104:1 (2018),  3–10  mathnet  elib; Math. Notes, 104:1 (2018), 3–9  isi  scopus
3. B. B. Bednov, P. A. Borodin, K. V. Chesnokova, “Existence of Lipschitz selections of the Steiner map”, Mat. Sb., 209:2 (2018),  3–21  mathnet  elib; Sb. Math., 209:2 (2018), 145–162  isi  scopus
4. P. A. Borodin, “Density of sums of shifts of a single vector in sequence spaces”, Tr. Mat. Inst. Steklova, 303 (2018),  39–44  mathnet  elib; Proc. Steklov Inst. Math., 303 (2018), 31–35  isi  scopus
2017
5. P. A. Borodin, “Approximation by sums of shifts of a single function on the circle”, Izv. RAN. Ser. Mat., 81:6 (2017),  23–37  mathnet  elib; Izv. Math., 81:6 (2017), 1080–1094  isi  scopus
6. P. A. Borodin, Yu. Yu. Druzhinin, K. V. Chesnokova, “Finite-Dimensional Subspaces of $L_p$ with Lipschitz Metric Projection”, Mat. Zametki, 102:4 (2017),  514–525  mathnet  mathscinet  elib; Math. Notes, 102:4 (2017), 465–474  isi  scopus
2016
7. P. A. Borodin, “Approximation by simple partial fractions with constraints on the poles. II”, Mat. Sb., 207:3 (2016),  19–30  mathnet  mathscinet  elib; Sb. Math., 207:3 (2016), 331–341  isi  scopus
2015
8. P. A. Borodin, O. N. Kosukhin, “Quantitative Expressions for the Connectedness of Sets in ${\mathbb R}^n$”, Mat. Zametki, 98:5 (2015),  643–650  mathnet  mathscinet  elib; Math. Notes, 98:5 (2015), 707–713  isi  scopus
2014
9. P. A. Borodin, “Density of a semigroup in a Banach space”, Izv. RAN. Ser. Mat., 78:6 (2014),  21–48  mathnet  mathscinet  zmath  elib; Izv. Math., 78:6 (2014), 1079–1104  isi  elib  scopus
10. B. B. Bednov, P. A. Borodin, “Banach spaces that realize minimal fillings”, Mat. Sb., 205:4 (2014),  3–20  mathnet  mathscinet  zmath  elib; Sb. Math., 205:4 (2014), 459–475  isi  scopus
2013
11. P. A. Borodin, “Examples of Sets with Given Approximation Properties in $WCG$-Space”, Mat. Zametki, 94:5 (2013),  643–647  mathnet  mathscinet  zmath  elib; Math. Notes, 94:5 (2013), 605–608  isi  elib  scopus
2012
12. P. A. Borodin, “$2$-Chebyshev Subspaces in the Spaces $L_1$ and $C$”, Mat. Zametki, 91:6 (2012),  819–831  mathnet  mathscinet  elib; Math. Notes, 91:6 (2012), 770–781  isi  elib  scopus
13. P. A. Borodin, “Approximation by simple partial fractions with constraints on the poles”, Mat. Sb., 203:11 (2012),  23–40  mathnet  mathscinet  zmath  elib; Sb. Math., 203:11 (2012), 1553–1570  isi  scopus
2011
14. P. A. Borodin, “On the convexity of $N$-Chebyshev sets”, Izv. RAN. Ser. Mat., 75:5 (2011),  19–46  mathnet  mathscinet  zmath  elib; Izv. Math., 75:5 (2011), 889–914  isi  elib  scopus
2010
15. Yu. V. Borodina, P. A. Borodin, “Synthesis of easily testable circuits over the Zhegalkin basis in the case of constant faults of type 0 at outputs of elements”, Diskr. Mat., 22:3 (2010),  127–133  mathnet  mathscinet  elib; Discrete Math. Appl., 20:4 (2010), 441–449  elib  scopus
16. P. A. Borodin, “An Example of Nonexistence of a Steiner Point in a Banach Space”, Mat. Zametki, 87:4 (2010),  514–518  mathnet  mathscinet  zmath; Math. Notes, 87:4 (2010), 485–488  isi  scopus
2009
17. P. A. Borodin, I. A. Pyatyshev, “An Example of Non-Approximatively-Compact Existence Set with Finite-Valued Metric Projection”, Mat. Zametki, 86:2 (2009),  170–174  mathnet  mathscinet  zmath  elib; Math. Notes, 86:2 (2009), 159–162  isi  scopus
18. P. A. Borodin, “The Linearity Coefficient of the Metric Projection onto a Chebyshev Subspace”, Mat. Zametki, 85:2 (2009),  180–188  mathnet  mathscinet  zmath  elib; Math. Notes, 85:1 (2009), 168–175  isi  scopus
19. P. A. Borodin, “Approximation by simple partial fractions on the semi-axis”, Mat. Sb., 200:8 (2009),  25–44  mathnet  mathscinet  zmath  elib; Sb. Math., 200:8 (2009), 1127–1148  isi  elib  scopus
2007
20. P. A. Borodin, “Estimates of the Distances to Direct Lines and Rays from the Poles of Simplest Fractions Bounded in the Norm of $L_p$ on These Sets”, Mat. Zametki, 82:6 (2007),  803–810  mathnet  mathscinet  zmath  elib; Math. Notes, 82:6 (2007), 725–732  isi  scopus
2006
21. P. A. Borodin, “On the existence of an element with given deviations from an expanding system of subspaces”, Mat. Zametki, 80:5 (2006),  657–667  mathnet  mathscinet  zmath  elib; Math. Notes, 80:5 (2006), 621–630  isi  elib  scopus
2001
22. P. A. Borodin, “The Banach–Mazur Theorem for Spaces with Asymmetric Norm”, Mat. Zametki, 69:3 (2001),  329–337  mathnet  mathscinet  zmath  elib; Math. Notes, 69:3 (2001), 298–305  isi
1999
23. P. A. Borodin, V. M. Tikhomirov, “Критерии гильбертовости банахова пространства, связанные с теорией приближений”, Mat. Pros., Ser. 3, 3 (1999),  189–207  mathnet
1998
24. P. A. Borodin, “Linearity of metric projections on Chebyshev subspaces in $L_1$ and $C$”, Mat. Zametki, 63:6 (1998),  812–820  mathnet  mathscinet  zmath; Math. Notes, 63:6 (1998), 717–723  isi
1997
25. P. A. Borodin, “Quasiorthogonal sets and conditions for a Banach space to be a Hilbert space”, Mat. Sb., 188:8 (1997),  63–74  mathnet  mathscinet  zmath; Sb. Math., 188:8 (1997), 1171–1182  isi  scopus
1995
26. P. A. Borodin, “Completeness of systems of successive primitives in the space $C(\Delta)$ and incomplete systems”, Mat. Zametki, 57:1 (1995),  118–121  mathnet  mathscinet  zmath; Math. Notes, 57:1 (1995), 82–84  isi
1994
27. P. A. Borodin, “An example of a bounded approximately compact set that is not compact”, Uspekhi Mat. Nauk, 49:4(298) (1994),  157–158  mathnet  mathscinet  zmath; Russian Math. Surveys, 49:4 (1994), 153–154  isi

2014
28. A. I. Aptekarev, P. A. Borodin, B. S. Kashin, Yu. V. Nesterenko, P. V. Paramonov, A. V. Pokrovskii, A. G. Sergeev, A. T. Fomenko, “Evgenii Prokof'evich Dolzhenko (on his 80th birthday)”, Uspekhi Mat. Nauk, 69:6(420) (2014),  192–196  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 69:6 (2014), 1143–1148  isi

Presentations in Math-Net.Ru
1. Жадные приближения произвольным множеством
P. A. Borodin
Seminar on Theory of Functions of Real Variables
November 16, 2018 18:30
2. Approximation by logarithmic derivatives of polynomials
P. A. Borodin
International Conference on Complex Analysis Dedicated to the memory of Andrei Gonchar and Anatoliy Vitushkin
October 8, 2018 15:00   
3. Сходимость к нулю экспоненциальных сумм с целыми неотрицательными коэффициентами и приближение суммами сдвигов одной функции на прямой
P. A. Borodin, S. V. Konyagin
Seminar on Approximation Theory
February 15, 2018 10:30
4. Сходимость к нулю почти всюду тригонометрических многочленов с натуральными коэффициентами и приближение суммами сдвигов одной функции на прямой
P. A. Borodin, S. V. Konyagin
Seminar on Theory of Functions of Real Variables
December 15, 2017 18:30
5. Dense semigroups in complex functional spaces
P. A. Borodin
Complex analysis and mathematical physics
October 30, 2017 15:00
6. Кратчайшие сети в банаховых пространствах
P. A. Borodin
Seminar on Theory of Functions of Real Variables
April 21, 2017 18:30
7. Липшицевость отображения Штейнера в банаховых пространствах
P. A. Borodin
Seminar on Theory of Functions of Real Variables
October 28, 2016 18:30
8. Приближение суммами сдвигов одной функции
P. A. Borodin
Seminar on Theory of Functions of Real Variables
October 9, 2015 18:30
9. Approximation by simple partial fractions with a restriction on the poles
P. A. Borodin
Seminar on Theory of Functions of Real Variables
April 3, 2015 18:30
10. Плотность полугруппы в банаховом пространстве и приближение наипростейшими дробями
P. A. Borodin
Meetings of the Moscow Mathematical Society
March 17, 2015
11. Approximations by simple partial fractions with constraints on the poles
P. A. Borodin
Seminar on Complex Analysis (Gonchar Seminar)
February 9, 2015 18:00
12. Minimal networks in Banach spaces
P. A. Borodin
Differential geometry and applications
October 13, 2014 16:45
13. Approximation by semigroups in Banach spaces
P. A. Borodin
International conference "Nonlinear Approximations and Applications" dedicated to the 60th birthday of Professor V. N. Temlyakov
November 1, 2013 15:50   

Organisations
 
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