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Buslaev Viktor Ivanovich
(recent publications)

by years

scientific publications

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2026
1.	V. I. Buslaev, “On the Support of the Measure of the Carathéodory Function Defined by a Limit-Periodic Continued Fraction”, Math. Notes, 119:6 (2026), 1213–1217
2.	A. I. Aptekarev, V. I. Buslaev, A. D. Izaak, B. S. Kashin, V. V. Kozlov, A. V. Komlov, N. G. Kruzhilin, A. Martínez-Finkelshtein, O. V. Mukina, S. Yu. Nemirovski, S. Yu. Orevkov, R. V. Palvelev, E. A. Rakhmanov, A. G. Sergeev, D. V. Treschev, E. M. Chirka, E. A. Shiryaeva, “Sergey Pavlovich Suetin (on his 70th birthday)”, Russian Math. Surveys, 81:3 (2026), 577–581

2025
3.	V. I. Buslaev, “Support of the measure in an integral representation for a Nevanlinna function defined by a limit periodic continued fraction”, Sb. Math., 216:11 (2025), 1528–1546

2024
4.	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
5.	V. I. Buslaev, “Solvability of the Nevanlinna-Pick interpolation problem”, Sb. Math., 214:8 (2023), 1066–1100

2022
6.	V. I. Buslaev, “Necessary and sufficient conditions for extending a function to a Carathéodory function”, Sb. Math., 213:11 (2022), 1488–1506
7.	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
8.	V. I. Buslaev, “On the Krein–Rechtman Theorem in the Presence of Multiple Points”, Math. Notes, 112:2 (2022), 313–317

2021
9.	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
10.	V. I. Buslaev, “Convergence of a Limit Periodic Schur Continued Fraction”, Math. Notes, 107:5 (2020), 671–682
11.	V. I. Buslaev, “Necessary and sufficient conditions for extending a function to a Schur function”, Sb. Math., 211:12 (2020), 1660–1703
12.	V. I. Buslaev, “Schur's Criterion for Formal Newton Series”, Math. Notes, 108:6 (2020), 884–888

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

2018
14.	V. I. Buslaev, “Continued fractions with limit periodic coefficients”, Sb. Math., 209:2 (2018), 187–205
15.	V. I. Buslaev, “On Singular points of Meromorphic Functions Determined by Continued Fractions”, Math. Notes, 103:4 (2018), 527–536
16.	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
17.	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
18.	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	16 ^[x]
19.	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
20.	V. I. Buslaev, “The Capacity of the Rational Preimage of a Compact Set”, Math. Notes, 100:6 (2016), 781–790

2015
21.	V. I. Buslaev, “Convergence of $m$-point Padé approximants of a tuple of multivalued analytic functions”, Sb. Math., 206:2 (2015), 175–200
22.	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
23.	V. I. Buslaev, “Capacity of a Compact Set in a Logarithmic Potential Field”, Proc. Steklov Inst. Math., 290 (2015), 238–255
24.	V. I. Buslaev, “An analogue of Polya's theorem for piecewise holomorphic functions”, Sb. Math., 206:12 (2015), 1707–1721

2014
25.	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
26.	V. I. Buslaev, S. P. Suetin, “An extremal problem in potential theory”, Russian Math. Surveys, 69:5 (2014), 915–917

2013
27.	V. I. Buslaev, “Convergence of multipoint Padé approximants of piecewise analytic functions”, Sb. Math., 204:2 (2013), 190–222
28.	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
29.	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
30.	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
31.	V. I. Buslaev, “On Hankel determinants of functions given by their expansions in $P$-fractions”, Ukr. Math. J., 62:3 (2010), 358–372

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

Full list of publications