Persons: Buslaev, Viktor Ivanovich

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Buslaev, Viktor Ivanovich

Total publications:	52 (50)
in MathSciNet:	50 (48)
in zbMATH:	32 (31)
in Web of Science:	38 (36)
in Scopus:	41 (41)
Cited articles:	38
Citations:	418
Presentations:	28

Number of views:
This page:	6908
Abstract pages:	19450
Full texts:	6594
References:	1968

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/?q=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

Full list of scientific publications:

scientific publications

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

1.	V. I. Buslaev, “On the multipoint Geronimus and Schur parameters of measures on the circle and on the line”, Mat. Sb.
2.	V. I. Buslaev, “Solvability of the Nevanlinna-Pick interpolation problem”, Sb. Math., 214:8 (2023), 1066–1100
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, “On a lower bound for the rate of convergence of multipoint Padé approximants of piecewise analytic functions”, Izv. Math., 85:3 (2021), 351–366
6.	V. I. Buslaev, “Convergence of a Limit Periodic Schur Continued Fraction”, Math. Notes, 107:5 (2020), 671–682
7.	V. I. Buslaev, “Necessary and sufficient conditions for extending a function to a Schur function”, Sb. Math., 211:12 (2020), 1660–1703
8.	V. I. Buslaev, “Schur's Criterion for Formal Newton Series”, Math. Notes, 108:6 (2020), 884–888
9.	V. I. Buslaev, “Schur's criterion for formal power series”, Sb. Math., 210:11 (2019), 1563–1580
10.	V. I. Buslaev, “Continued fractions with limit periodic coefficients”, Sb. Math., 209:2 (2018), 187–205
11.	V. I. Buslaev, “On Singular points of Meromorphic Functions Determined by Continued Fractions”, Math. Notes, 103:4 (2018), 527–536
12.	V. I. Buslaev, “On the Van Vleck Theorem for Limit-Periodic Continued Fractions of General Form”, Proc. Steklov Inst. Math., 298 (2017), 68–93
13.	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	14 ^[x]
14.	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
15.	V. I. Buslaev, “The Capacity of the Rational Preimage of a Compact Set”, Math. Notes, 100:6 (2016), 781–790
16.	V. I. Buslaev, “Convergence of $m$-point Padé approximants of a tuple of multivalued analytic functions”, Sb. Math., 206:2 (2015), 175–200
17.	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
18.	V. I. Buslaev, “Capacity of a Compact Set in a Logarithmic Potential Field”, Proc. Steklov Inst. Math., 290 (2015), 238–255
19.	V. I. Buslaev, “An analogue of Polya's theorem for piecewise holomorphic functions”, Sb. Math., 206:12 (2015), 1707–1721
20.	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
21.	V. I. Buslaev, S. P. Suetin, “An extremal problem in potential theory”, Russian Math. Surveys, 69:5 (2014), 915–917
22.	V. I. Buslaev, “Convergence of multipoint Padé approximants of piecewise analytic functions”, Sb. Math., 204:2 (2013), 190–222
23.	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)
24.	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	19 ^[x]
25.	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
26.	V. I. Buslaev, “On Hankel determinants of functions given by their expansions in $P$-fractions”, Ukr. Math. J., 62:3 (2010), 358–372
27.	V. I. Buslaev, “On a criterion of rationality for a series in orthogonal polynomials”, Ukr. Math. J., 62:8 (2011), 1326–1332
28.	V. I. Buslaev, “Analog of the Hadamard Formula for the First Ellipse of Meromorphy”, Math. Notes, 85:4 (2009), 528–543
29.	V. I. Buslaev, “An analogue of Fabry's theorem for generalized Padé approximants”, Sb. Math., 200:7 (2009), 981–1050
30.	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
31.	V. I. Buslaev, “On the Fabry Ratio Theorem for Orthogonal Series”, Proc. Steklov Inst. Math., 253 (2006), 8–21
32.	V. I. Buslaev, S. F. Buslaeva, “Poincare Theorem for Difference Equations”, Math. Notes, 78:6 (2005), 877–882
33.	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
34.	V. I. Buslaev, S. F. Buslaeva, “On the Rogers–Ramanujan Periodic Continued Fraction”, Math. Notes, 74:6 (2003), 783–793
35.	V. I. Buslaev, “Convergence of the Rogers–Ramanujan continued fraction”, Sb. Math., 194:6 (2003), 833–856
36.	V. I. Buslaev, “On the Baker–Gammel–Wills conjecture in the theory of Padé approximants”, Sb. Math., 193:6 (2002), 811–823
37.	V. I. Buslaev, “Simple counterexample to the Baker–Gammel–Wills conjecture”, East J. Approx., 7:4 (2001), 515–517
38.	V. I. Buslaev, “On the Van Vleck theorem for regular $C$-fractions with limit-periodic coefficients”, Izv. Math., 65:4 (2001), 673–686
39.	V. I. Buslaev, “On the Convergence of Continued T-Fractions”, Proc. Steklov Inst. Math., 235 (2001), 29–43
40.	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
41.	V. I. Buslaev, “Poincaré's theorem and its applications to the convergence of continued fractions”, Sb. Math., 189:12 (1998), 1749–1764
42.	V. I. Buslaev, S. F. Buslaeva, “Compositions of linear-fractional transformations”, Math. Notes, 61:3 (1997), 272–277
43.	V. I. Buslaev, “Relations for the coefficients, and singular points of a function”, Math. USSR-Sb., 59:2 (1988), 349–377
44.	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
45.	V. I. Buslaev, “On the poles of the $m$th row of the Padé table”, Math. USSR-Sb., 45:4 (1983), 423–429
46.	V. I. Buslaev, “Otsenkaproizvodnoi mnogochlena i obobschenie neravenstva S. M. Nikolskogo”, Teoriya priblizheniya funktsii, Sbornik statei, Nauka, M., 1977, 47–49
47.	V. I. Buslaev, “Otsenka $(\varepsilon,\delta)$-entropii klassa tselykh funktsii v integralnoi metrike”, Anal. Math., 3:1 (1977), 11–44
48.	V. I. Buslaev, “Certain inequalities for polynomials with real coefficients”, Dokl. AN SSSR, 223:1 (1975), 20–22
49.	V. I. Buslaev, “An inequality for the derivative of a polynomial with real coefficients”, Math. USSR-Izv., 9:2 (1975), 390–394
50.	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
51.	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
52.	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

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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