Persons: Buslaev, Viktor Ivanovich

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Buslaev, Viktor Ivanovich

Statistics Math-Net.Ru
in MathSciNet:	51 (49)
in zbMATH:	41 (40)
in Web of Science:	38 (36)
in Scopus:	41 (41)

Doctor of physico-mathematical sciences (2007)

Speciality:

01.01.01 (Real analysis, complex analysis, and functional analysis)

Birth date:

18.06.1950

E-mail:

Keywords:

Padé approximants, continued fractions, recurrent equations.

Main publications:

V. I. Buslaev, “On the Baker–Gammel–Wills conjecture in the theory of Padé approximants”, Sb. Math., 193:6 (2002), 811–823

https://www.mathnet.ru/eng/person8633

List of publications on Google Scholar

https://zbmath.org/authors/ai:buslaev.viktor-i

https://mathscinet.ams.org/mathscinet/MRAuthorID/190283

https://elibrary.ru/author_items.asp?authorid=4654

https://www.webofscience.com/wos/author/record/Q-3983-2016

https://www.scopus.com/authid/detail.url?authorId=6701689693

https://www.researchgate.net/profile/Viktor-Buslaev

List of scientific publications:

scientific publications

by years

by types

by times cited

common list

		Citations (Crossref Cited-By Service + Math-Net.Ru)


2024
1.	V. I. Buslaev, “Multipoint Geronimus and Schur parameters of measures on a circle and on a line”, Sb. Math., 215:8 (2024), 1007–1042

2023
2.	V. I. Buslaev, “Solvability of the Nevanlinna-Pick interpolation problem”, Sb. Math., 214:8 (2023), 1066–1100

2022
3.	V. I. Buslaev, “Necessary and sufficient conditions for extending a function to a Carathéodory function”, Sb. Math., 213:11 (2022), 1488–1506
4.	V. I. Buslaev, “On the Krein–Rechtman Theorem in the Presence of Multiple Points”, Math. Notes, 112:2 (2022), 313–317
5.	V. I. Buslaev, V. M. Buchstaber, A. N. Dranishnikov, V. M. Kliatskine, S. A. Melikhov, L. Montejano, S. P. Novikov, P. V. Semenov, “Evgenii Vital'evich Shchepin (on his 70th birthday)”, Russian Math. Surveys, 77:3 (2022), 559–569

2021
6.	V. I. Buslaev, “On a lower bound for the rate of convergence of multipoint Padé approximants of piecewise analytic functions”, Izv. Math., 85:3 (2021), 351–366

2020
7.	V. I. Buslaev, “Convergence of a Limit Periodic Schur Continued Fraction”, Math. Notes, 107:5 (2020), 671–682
8.	V. I. Buslaev, “Necessary and sufficient conditions for extending a function to a Schur function”, Sb. Math., 211:12 (2020), 1660–1703
9.	V. I. Buslaev, “Schur's Criterion for Formal Newton Series”, Math. Notes, 108:6 (2020), 884–888

2019
10.	V. I. Buslaev, “Schur's criterion for formal power series”, Sb. Math., 210:11 (2019), 1563–1580

2018
11.	V. I. Buslaev, “Continued fractions with limit periodic coefficients”, Sb. Math., 209:2 (2018), 187–205
12.	V. I. Buslaev, “On Singular points of Meromorphic Functions Determined by Continued Fractions”, Math. Notes, 103:4 (2018), 527–536
13.	A. I. Aptekarev, V. K. Beloshapka, V. I. Buslaev, V. V. Goryainov, V. N. Dubinin, V. A. Zorich, N. G. Kruzhilin, S. Yu. Nemirovski, S. Yu. Orevkov, P. V. Paramonov, S. I. Pinchuk, A. S. Sadullaev, A. G. Sergeev, S. P. Suetin, A. B. Sukhov, K. Yu. Fedorovskiy, A. K. Tsikh, “Evgenii Mikhailovich Chirka (on his 75th birthday)”, Russian Math. Surveys, 73:6 (2018), 1137–1144

2017
14.	V. I. Buslaev, “On the Van Vleck Theorem for Limit-Periodic Continued Fractions of General Form”, Proc. Steklov Inst. Math., 298 (2017), 68–93

2016
15.	Viktor I. Buslaev, Sergey P. Suetin, “On the existence of compacta of minimal capacity in the theory of rational approximation of multi-valued analytic functions”, J. Approx. Theory, 206 (2016), 48–67 , arXiv: 1505.06120	15 ^[x]
16.	V. I. Buslaev, “An analog of Gonchar's theorem for the $m$-point version of Leighton's conjecture”, Proc. Steklov Inst. Math., 293 (2016), 127–139
17.	V. I. Buslaev, “The Capacity of the Rational Preimage of a Compact Set”, Math. Notes, 100:6 (2016), 781–790

2015
18.	V. I. Buslaev, “Convergence of $m$-point Padé approximants of a tuple of multivalued analytic functions”, Sb. Math., 206:2 (2015), 175–200
19.	V. I. Buslaev, S. P. Suetin, “On Equilibrium Problems Related to the Distribution of Zeros of the Hermite–Padé Polynomials”, Proc. Steklov Inst. Math., 290 (2015), 256–263
20.	V. I. Buslaev, “Capacity of a Compact Set in a Logarithmic Potential Field”, Proc. Steklov Inst. Math., 290 (2015), 238–255
21.	V. I. Buslaev, “An analogue of Polya's theorem for piecewise holomorphic functions”, Sb. Math., 206:12 (2015), 1707–1721

2014
22.	V. I. Buslaev, S. P. Suetin, “Existence of compact sets with minimum capacity in problems of rational approximation of multivalued analytic functions”, Russian Math. Surveys, 69:1 (2014), 159–161
23.	V. I. Buslaev, S. P. Suetin, “An extremal problem in potential theory”, Russian Math. Surveys, 69:5 (2014), 915–917

2013
24.	V. I. Buslaev, “Convergence of multipoint Padé approximants of piecewise analytic functions”, Sb. Math., 204:2 (2013), 190–222
25.	V. I. Buslaev, “An estimate for the capacity of the set of singularities of functions defined by their continued fraction expansions”, Anal. Math., 39:1 (2013), 1–27 (Russian)

2012
26.	V. I. Buslaev, A. Martines-Finkelshtein, S. P. Suetin, “Metod vnutrennikh variatsii i suschestvovanie $S$-kompaktov”, Analiticheskie i geometricheskie voprosy kompleksnogo analiza, Sbornik statei, Tr. MIAN, 279, MAIK, M., 2012, 31–58	20 ^[x]

2011
27.	A. I. Aptekarev, V. I. Buslaev, A. Martínez-Finkelshtein, S. P. Suetin, “Padé approximants, continued fractions, and orthogonal polynomials”, Russian Math. Surveys, 66:6 (2011), 1049–1131

2010
28.	V. I. Buslaev, “On Hankel determinants of functions given by their expansions in $P$-fractions”, Ukr. Math. J., 62:3 (2010), 358–372

2011
29.	V. I. Buslaev, “On a criterion of rationality for a series in orthogonal polynomials”, Ukr. Math. J., 62:8 (2011), 1326–1332

2009
30.	V. I. Buslaev, “Analog of the Hadamard Formula for the First Ellipse of Meromorphy”, Math. Notes, 85:4 (2009), 528–543
31.	V. I. Buslaev, “An analogue of Fabry's theorem for generalized Padé approximants”, Sb. Math., 200:7 (2009), 981–1050

2008
32.	V. I. Buslaev, S. F. Buslaeva, “O formulakh Adamara dlya ellipsov meromorfnosti”, Sbornik trudov Instituta matematiki NAN Ukrainy, Trudy Matem. tsentra im. N. I. Lobachevskogo, 5, no. 1, 2008, 1–8

2006
33.	V. I. Buslaev, “On the Fabry Ratio Theorem for Orthogonal Series”, Proc. Steklov Inst. Math., 253 (2006), 8–21

2005
34.	V. I. Buslaev, S. F. Buslaeva, “Poincare Theorem for Difference Equations”, Math. Notes, 78:6 (2005), 877–882

2003
35.	V. I. Buslaev, S. F. Buslaeva, “On a generalization of Hirschhorn's formulas”, Extremal problems in the theory of functions and related problems, Tr. In-ta matem. NAN Ukrainy, 46, In-t matem. AN Ukrainy, Kiev, 2003, 7–16
36.	V. I. Buslaev, S. F. Buslaeva, “On the Rogers–Ramanujan Periodic Continued Fraction”, Math. Notes, 74:6 (2003), 783–793
37.	V. I. Buslaev, “Convergence of the Rogers–Ramanujan continued fraction”, Sb. Math., 194:6 (2003), 833–856

2002
38.	V. I. Buslaev, “On the Baker–Gammel–Wills conjecture in the theory of Padé approximants”, Sb. Math., 193:6 (2002), 811–823

2001
39.	V. I. Buslaev, “Simple counterexample to the Baker–Gammel–Wills conjecture”, East J. Approx., 7:4 (2001), 515–517
40.	V. I. Buslaev, “On the Van Vleck theorem for regular $C$-fractions with limit-periodic coefficients”, Izv. Math., 65:4 (2001), 673–686
41.	V. I. Buslaev, “On the Convergence of Continued T-Fractions”, Proc. Steklov Inst. Math., 235 (2001), 29–43

1998
42.	V. I. Buslaev, S. F. Buslaeva, “On a theorem of Van Vleck for the convergence of continued fractions”, Ryady Fure: teoriya i prilozheniya (Kamenets-Podolskii, 1997), Tr. In-ta matem. NAN Ukrainy, 20, In-t matem. AN Ukrainy, Kiev, 1998, 43–54
43.	V. I. Buslaev, “Poincaré's theorem and its applications to the convergence of continued fractions”, Sb. Math., 189:12 (1998), 1749–1764

1997
44.	V. I. Buslaev, S. F. Buslaeva, “Compositions of linear-fractional transformations”, Math. Notes, 61:3 (1997), 272–277

1988
45.	V. I. Buslaev, “Relations for the coefficients, and singular points of a function”, Math. USSR-Sb., 59:2 (1988), 349–377

1984
46.	V. I. Buslaev, A. A. Gonchar, S. P. Suetin, “On convergence of subsequences of the $m$th row of a Padé table”, Math. USSR-Sb., 48:2 (1984), 535–540

1983
47.	V. I. Buslaev, “On the poles of the $m$th row of the Padé table”, Math. USSR-Sb., 45:4 (1983), 423–429

1977
48.	V. I. Buslaev, “Otsenkaproizvodnoi mnogochlena i obobschenie neravenstva S. M. Nikolskogo”, Teoriya priblizheniya funktsii, Sbornik statei, Nauka, M., 1977, 47–49
49.	V. I. Buslaev, “Otsenka $(\varepsilon,\delta)$-entropii klassa tselykh funktsii v integralnoi metrike”, Anal. Math., 3:1 (1977), 11–44

1975
50.	V. I. Buslaev, “Certain inequalities for polynomials with real coefficients”, Dokl. AN SSSR, 223:1 (1975), 20–22
51.	V. I. Buslaev, “An inequality for the derivative of a polynomial with real coefficients”, Math. USSR-Izv., 9:2 (1975), 390–394

1974
52.	V. I. Buslaev, A. G. Vitushkin, “An estimate of the code length of signals with a finite spectrum in connection with sound-recording problems”, Math. USSR-Izv., 8:4 (1974), 867–894

Presentations in Math-Net.Ru

1.	On the multipoint Geronimus and Schur parameters of measures on the circle and on the line V. I. Buslaev International Conference “Nonlinear Approximation and Discretization” dedicated to the 70-th anniversary of Professor V.N. Temlyakov October 30, 2023 10:50
2.	Multipoint versions of Geronimus and Rakhmanov theorems V. I. Buslaev Seminar on Complex Analysis (Gonchar Seminar) September 18, 2023 17:00
3.	On the Rakhmanov–Denisov theorem V. I. Buslaev Seminar on Complex Analysis (Gonchar Seminar) November 21, 2022 17:00
4.	Необходимые и достаточные условия продолжимости функции до функции Неванлинны V. I. Buslaev November 10, 2022 16:10
5.	On the solvability of the Nevanlinna–Pick interpolation problem V. I. Buslaev Seminar on Complex Analysis (Gonchar Seminar) February 7, 2022 17:00
6.	Necessary and sufficient conditions for the continuance of a function to a Caratheodory function V. I. Buslaev Seminar on Complex Analysis (Gonchar Seminar) April 19, 2021 17:00
7.	Schur criterion for Newton's formal series V. I. Buslaev Seminar on Complex Analysis (Gonchar Seminar) January 27, 2020 17:00
8.	О многоточечном критерии Шура V. I. Buslaev International conference "8th Russian-Armenian Workshop on Mathematical Physics, Complex Analysis and Related Topics" September 18, 2019 15:50
9.	Schur's theorem in terms of two-point Hankel determinants V. I. Buslaev Seminar on Complex Analysis (Gonchar Seminar) March 5, 2018 17:00
10.	On the Van Vleck Theorem for limit-periodic continued fractions of the general type V. I. Buslaev Seminar on Complex Analysis (Gonchar Seminar) March 13, 2017 17:00
11.	On symmetry property of boundary of convergence set of some limit periodic continued fractions V. I. Buslaev Seminar on Complex Analysis (Gonchar Seminar) February 1, 2016 17:00
12.	An analogue of Gonchar's theorem for $m$-point version of Leighton's conjecture V. I. Buslaev Traditional winter session MIAN–POMI devoted to the topic "Complex analysis" December 22, 2015 14:40
13.	TBA V. I. Buslaev Seminar on Complex Analysis (Gonchar Seminar) June 1, 2015 18:00
14.	TBA A. I. Aptekarev, V. I. Buslaev Seminar on Complex Analysis (Gonchar Seminar) March 23, 2015 18:00
15.	On the existence of $S$-compact sets in the problem of rational approximation of multivalued analytic functions V. I. Buslaev Seminar on Complex Analysis (Gonchar Seminar) January 27, 2014 18:00
16.	О сходимости многоточечных аппроксимаций Паде кусочно аналитических функций V. I. Buslaev Scientific session of the Steklov Mathematical Institute dedicated to the results of 2013 November 20, 2013 13:00
17.	Convergence of two-point Pade approximants V. I. Buslaev International conference "Nonlinear Approximations and Applications" dedicated to the 60th birthday of Professor V. N. Temlyakov November 1, 2013 12:35
18.	Sufficient conditions for the existence of S-compact sets in problems of rational approximation of multivalued analytic functions V. I. Buslaev Seminar on Complex Analysis (Gonchar Seminar) October 28, 2013 18:00
19.	On problem of existence of S-compact sets in problems of rational approximation of multivalued analytic functions V. I. Buslaev Seminar on Complex Analysis (Gonchar Seminar) October 14, 2013 18:00
20.	Convergence of multipoint Padé approximations V. I. Buslaev Seminar "Complex analysis in several variables" (Vitushkin Seminar) February 20, 2013 16:45
21.	On an analog of the Stahl theorem for a set of analytic functions (continuation) V. I. Buslaev Seminar on Complex Analysis (Gonchar Seminar) December 17, 2012 18:00
22.	On an analog of the Stahl theorem for a set of analytic functions V. I. Buslaev Seminar on Complex Analysis (Gonchar Seminar) December 3, 2012 18:00
23.	The convergence of multipoint Padé approximants for multivalued analytic functions V. I. Buslaev Seminar on Complex Analysis (Gonchar Seminar) October 31, 2011 18:00
24.	On the convergence of two point Padé approximants V. I. Buslaev Seminar on Complex Analysis (Gonchar Seminar) March 21, 2011 18:00
25.	On the convergence of continued fractions and a generalization of Polya theorem V. I. Buslaev Seminar on Complex Analysis (Gonchar Seminar) November 8, 2010 18:00
26.	On Gonchar's conjecture V. I. Buslaev Second Russian-Armenian Workshop on Mathematical Physics, Complex Analysis and Related Topics October 7, 2008 11:45
27.	Recurrent relations and rational approximations V. I. Buslaev Steklov Mathematical Institute Seminar April 17, 2008 16:00
28.	Greeting V. I. Buslaev Festive meeting for the 100th birthday of Academician Sergei Mikhailovich Nikol'skii April 30, 2005

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