01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date:
28.12.1955
E-mail:
Keywords:
rational approximation of analytic functions; Pade approximation; inverse theorems; general orthogonal polynomials.
Main publications:
S. P. Suetin, “Trace formulae for a class of Jacobi operators”, Sb. Math., 198:6 (2007), 857–885
S. P. Suetin, “Padé approximants and efficient analytic continuation of a power series”, Russian Math. Surveys, 57:1 (2002), 43–141
S. P. Suetin, “Approximation properties of the poles of diagonal Padé approximants for certain generalizations of Markov functions”, Sb. Math., 193:12 (2002), 1837–1866
S. P. Suetin, “Uniform convergence of Padé diagonal approximants for hyperelliptic functions”, Sb. Math., 191:9 (2000), 1339–1373
A. A. Gonchar, E. A. Rakhmanov, S. P. Suetin, “On the rate of convergence of Padé approximants of orthogonal expansions”, Progress in approximation theory (Tampa, FL, 1990), Springer Ser. Comput. Math., 19, Springer, New York, 1992, 169–190
S. P. Suetin, “On an inverse problem for the $m$th row of a Padé table”, Math. USSR-Sb., 52:1 (1985), 231–244
A. V. Komlov, S. P. Suetin, Uspekhi Mat. Nauk, 67:1(403) (2012), 183–184
2.
S. P. Suetin, “An analogue of the Hadamard and Schiffer variational formulas”, Theoret. and Math. Phys., 170:3 (2012), 274–279
3.
A. Martínez-Finkelshtein, E. A. Rakhmanov, S. P. Suetin, “Variation of the equilibrium measure and the $S$-property of a stationary compact set”, Russian Math. Surveys, 66:1 (2011), 176–178
4.
A. Martínez-Finkelshtein, E. A. Rakhmanov, S. P. Suetin, “Variation of the equilibrium energy and the $S$-property of a stationary compact set”, Mat. Sb., 202:12 (2011), 113–136
5.
A. I. Aptekarev, V. I. Buslaev, A. Martínez-Finkelshtein, S. P. Suetin, “Padé approximations, continued fractions, and orthogonal polynomials”, Uspekhi Mat. Nauk, 66:6(402) (2011), 37–122
6.
A. A. Gonchar, E. A. Rakhmanov, S. P. Suetin, “Padé–Chebyshev approximations for multivalues analytic functions, variation of equilibrium energy and the $S$-property of stationary compact sets.”, Uspekhi Mat. Nauk, 66:6(402) (2011), 3–36
7.
S. P. Suetin, “Numerical analysis of some characteristics of the limit cycle of the free van der Pol equation”, Sovrem. Probl. Mat., 14, Steklov Math. Inst., RAS, Moscow, 2010, 3–57
8.
S. P. Suetin, “On the Existence of Nonlinear Padé–Chebyshev Approximations for Analytic Functions”, Math. Notes, 86:2 (2009), 264–275
9.
S. P. Suetin, “Strong asymptotics of polynomials orthogonal with respect to a complex weight”, Sb. Math., 200:1 (2009), 77–93
10.
S. P. Suetin, “Strong asymptotics of zeros of polynomials orthogonal with respect to a complex-valued weight”, Russian Math. Surveys, 62:4 (2007), 823–825
11.
S. P. Suetin, “Trace formulae for a class of Jacobi operators”, Sb. Math., 198:6 (2007), 857–885
12.
S. P. Suetin, “Spectral properties of a class of discrete Sturm–Liouville operators”, Russian Math. Surveys, 61:2 (2006), 365–367
13.
S. P. Suetin, “Comparative asymptotic behavior of solutions and trace formulas for a class of difference equations”, Proc. Steklov Inst. Math., 272, suppl. 2 (2011), 96–137
14.
S. P. Suetin, “On polynomials orthogonal on several segments with indefinite weight”, Russian Math. Surveys, 60:5 (2005), 991–993
15.
S. P. Suetin, “On interpolation properties of diagonal Padé approximants of elliptic functions”, Russian Math. Surveys, 59:4 (2004), 800–802
16.
A. A. Gonchar, S. P. Suetin, “On Padé approximants of meromorphic functions of Markov type”, Proc. Steklov Inst. Math., 272, suppl. 2 (2011), 58–95
17.
S. P. Suetin, “The asymptotic behaviour of diagonal Padé approximants for hyperelliptic functions of genus $g=2$”, Russian Math. Surveys, 58:4 (2003), 802–804
18.
S. P. Suetin, “Convergence of Chebyshëv continued fractions for elliptic functions”, Sb. Math., 194:12 (2003), 1807–1835
19.
S. P. Suetin, “On Dumas' theorem in the theory of continued fractions”, Russian Math. Surveys, 57:5 (2002), 1010–1012
20.
S. P. Suetin, “On the dynamics of “wandering” zeros of polynomials that are orthogonal on certain intervals”, Russian Math. Surveys, 57:2 (2002), 425–427
21.
S. P. Suetin, “Padé approximants and efficient analytic continuation of a power series”, Russian Math. Surveys, 57:1 (2002), 43–141
22.
S. P. Suetin, “Approximation properties of the poles of diagonal Padé approximants for certain generalizations of Markov functions”, Sb. Math., 193:12 (2002), 1837–1866
23.
S. P. Suetin, Nekotorye voprosy skhodimosti approksimatsii Pade i analiticheskogo prodolzheniya funktsii, Diss. … doktora fiz.-mat. nauk, Matematicheskii institut im. V. A. Steklova Rossiiskoi akademii nauk, Moskva, 2001, 128 pp.
24.
S. P. Suetin, Nekotorye voprosy skhodimosti approksimatsii Pade i analiticheskogo prodolzheniya funktsii, Avtoreferat diss. … doktora fiz.-mat. nauk, Izd-vo “Narodnyi uchitel”, Moskva, 2001, 28 pp.
25.
S. P. Suetin, “Uniform convergence of Padé diagonal approximants for hyperelliptic functions”, Sb. Math., 191:9 (2000), 1339–1373
26.
S. P. Suetin, “Asymptotics of Akhiezer polynomials and uniform convergence of Padé approximants for hyperelliptic functions”, Russian Math. Surveys, 53:6 (1998), 1377–1379
27.
S. P. Suetin, “Asymptotics of the denominators of the diagonal Padé approximations of orthogonal expansions”, Dokl. Math., 56:2 (1997), 774–776
28.
A. A. Gonchar, E. A. Rakhmanov, S. P. Suetin, “On the rate of convergence of Padé approximants of orthogonal expansions”, Progress in approximation theory (Tampa, FL, 1990), Springer Ser. Comput. Math., 19, Springer, New York, 1992, 169–190
29.
A. A. Gonchar, E. A. Rakhmanov, S. P. Suetin, “On the convergence of Padé approximation of orthogonal expansions”, Proc. Steklov Inst. Math., 200 (1993), 149–159
30.
A. A. Gonchar, S. P. Suetin, “Uniform convergence of Padé approximants”, Investigations in the theory of the approximation of functions, Akad. Nauk SSSR Bashkir. Filial Otdel Fiz. Mat., Ufa, 1987, 70–84
31.
S. P. Suetin, “On an inverse problem for the $m$th row of a Padé table”, Math. USSR-Sb., 52:1 (1985), 231–244
32.
V. V. Vavilov, V. A. Prokhorov, S. P. Suetin, “The poles of the $m$th row of the Padé table and the singular points of a function”, Math. USSR-Sb., 50:2 (1985), 457–463
33.
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
34.
S. P. Suetin, “On poles of the $m$th row of a Padé table”, Math. USSR-Sb., 48:2 (1984), 493–497
35.
S. P. Suetin, Voprosy skhodimosti approksimatsii Pade–Fabera, Avtoreferat diss. … kand. fiz.-mat. nauk, Rotaprint VNIPKI, Moskva, 1982, 12 pp.
36.
S. P. Suetin, “On Montessus de Ballore's theorem for rational approximants of orthogonal expansions”, Math. USSR-Sb., 42:3 (1982), 399–411
37.
S. P. Suetin, Voprosy skhodimosti approksimatsii Pade–Fabera, Diss. … kand. fiz.-mat. nauk, Moskovskii gosudarstvennyi universitet im. M. V. Lomonosova, Moskva, 1981, 78 pp.
38.
S. P. Suetin, “On de Montessus de Ballore's theorem for nonlinear Padé approximants of orthogonal expansions and Faber series”, Soviet Math. Dokl., 22 (1980), 274–277
39.
S. P. Suetin, “Inverse theorems on generalized Padé approximants”, Math. USSR-Sb., 37:4 (1980), 581–597
40.
S. P. Suetin, “On the convergence of rational approximations to polynomial expansions in domains of meromorphy of a given function”, Math. USSR-Sb., 34:3 (1978), 367–381
S. P. Suetin, Numerical analysis of some characteristics of the limit cycle of the free van der Pol equation, Sovrem. Probl. Mat., 14, 2010, 58 с. http://mi.mathnet.ru/book1342
S. P. Suetin, Comparative asymptotic behavior of solutions and trace formulas for a class of difference equations, Sovrem. Probl. Mat., 6, 2006, 72 с. http://mi.mathnet.ru/book471
A. A. Gonchar, S. P. Suetin, On Padé approximants of meromorphic functions of Markov type, Sovrem. Probl. Mat., 5, 2004, 68 с. http://mi.mathnet.ru/book472
Terms of Use