Persons: Gonchar, Andrei Aleksandrovich

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Gonchar, Andrei Aleksandrovich
(1931–2012)

Statistics
in MathSciNet:	115 (69)
in zbMATH:	82 (55)
in Web of Science:	60 (19)
in Scopus:	39 (26)

Full member of the Russian Academy of Sciences

Professor

Doctor of physico-mathematical sciences (1964)

Speciality:

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

Birth date:

21.11.1931

Main publications:

A. A. Gonchar, “On Bogolyubov's “Edge-of-the-Wedge” Theorem”, Proc. Steklov Inst. Math., 228 (2000), 18–24
A. A. Gonchar, “Rational approximations of analytic functions”, Proceedings of the International Congress of Mathematicians (Berkeley, Calif., 1986), v. 1, 2, Amer. Math. Soc., Providence, RI, 1987, 739–748
A. A. Gonchar, E. A. Rakhmanov, “Equilibrium distributions and degree of rational approximation of analytic functions”, Math. USSR-Sb., 62:2 (1989), 305–348
A. A. Gonchar, E. A. Rakhmanov, “On the convergence of simultaneous Padé approximants for systems of functions of Markov type”, Proc. Steklov Inst. Math., 157 (1983), 31–50

https://www.mathnet.ru/eng/person8518

https://ru.wikipedia.org/wiki/Gonchar,_Andrei_Aleksandrovich

List of publications on Google Scholar

https://zbmath.org/authors/ai:gonchar.andrei-a

https://mathscinet.ams.org/mathscinet/MRAuthorID/190284

https://elibrary.ru/author_items.asp?authorid=4652

List of publications:

scientific publications

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


2011
1.	Russian Math. Surveys, 66:6 (2011), 1015–1048

2010
2.	A. A. Gonchar, E. A. Rakhmanov, S. P. Suetin, On the convergence of Chebyshev–Pade approximations to real-valued algebraic functions, 2010 , 10 pp., arXiv: 1009.4813

2006
3.	A. A. Gonchar, “Singular points of meromorphic functions defined by their expansion in a $C$-fraction”, Sb. Math., 197:10 (2006), 1405–1416

2011
4.	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
5.	A. A. Gonchar, “Rational approximations of analytic functions”, Proc. Steklov Inst. Math., 272, suppl. 2 (2011), 44–57

2000
6.	A. A. Gonchar, “On Bogolyubov's “Edge-of-the-Wedge” Theorem”, Proc. Steklov Inst. Math., 228 (2000), 18–24

1997
7.	A. A. Gonchar, E. A. Rakhmanov, V. N. Sorokin, “Hermite–Pade approximants for systems of Markov-type functions”, Sb. Math., 188:5 (1997), 671–696

1992
8.	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	21 ^[x]
9.	A. A. Gonchar, N. N. Novikova, G. M. Henkin, “Multipoint Padé approximants in the inverse Sturm–Liouville problem”, Math. USSR-Sb., 73:2 (1992), 479–489

1993
10.	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

1989
11.	A. A. Gonchar, E. A. Rakhmanov, Lopez Guillermo, “Some old and new results in rational approximation theory”, Rational approximation and orthogonal polynomials (Zaragoza, 1988), Univ. Zaragoza, Zaragoza, 1989, 1–30
12.	R. A. Avetisyan, N. U. Arakelyan, A. A. Gonchar, “Asymptotic properties of meromorphic functions”, Soviet J. Contemporary Math. Anal., 24:3 (1989), 1–19

1988
13.	A. A. Gončar, E. A. Rakhmanov, “On the rate of rational approximation of analytic functions”, Approximation and optimization (Havana, 1987), Lecture Notes in Math., 1354, Springer, Berlin, 1988, 25–42	2 ^[x]

1987
14.	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
15.	A. A. Gonchar, “Rational approximations of analytic functions”, Proceedings of the International Congress of Mathematicians (Berkeley, Calif., 1986), v. 1, 2, Amer. Math. Soc., Providence, RI, 1987, 739–748

1989
16.	A. A. Gonchar, E. A. Rakhmanov, “Equilibrium distributions and degree of rational approximation of analytic functions”, Math. USSR-Sb., 62:2 (1989), 305–348

1988
17.	A. A. Gonchar, L. D. Grigoryan, “On an estimate of the components of bounded analytic functions”, Math. USSR-Sb., 60:2 (1988), 291–295

1986
18.	A. A. Gonchar, “Some recent convergence results on diagonal Padé approximants”, Approximation theory. V, Proceedings of the fifth international symposium (Texas A & M University, College Station, Tex., 1986), Academic Press, Boston, MA, 1986, 55–70

1985
19.	A. A. Gonchar, “On analytic continuation from the “edge of the wedge””, Ann. Acad. Sci. Fenn. Ser. A I Math., 10 (1985), 221–225	8 ^[x]
20.	A. A. Gonchar, E. A. Rakhmanov, “On the equilibrium problem for vector potentials”, Russian Math. Surveys, 40:4 (1985), 183–184

1984
21.	A. A. Gonchar, “O skhodimosti diagonalnykh approksimatsii Pade v sfericheskoi metrike”, Matematicheskie struktury — vychislitelnaya matematika — matematicheskoe modelirovanie, v. 2, Izd-vo Bolgar. Akad. nauk, Sofiya, 1984, 29–35

1986
22.	A. A. Gonchar, E. A. Rakhmanov, “Equilibrium measure and the distribution of zeros of extremal polynomials”, Math. USSR-Sb., 53:1 (1986), 119–130
23.	A. A. Gonchar, “The rate of rational approximation of analytic functions”, Proc. Steklov Inst. Math., 166 (1986), 53–61

1983
24.	W. H. J. Fuchs, A. A. Gončar, “Approximation of entire functions on unbounded continua”, Second Edmonton conference on approximation theory (Edmonton, Alta., 1982), CMS Conf. Proc., 3, Amer. Math. Soc., Providence, RI, 1983, 171–184

1984
25.	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
26.	A. A. Gonchar, “On uniform convergence of diagonal Padé approximants”, Math. USSR-Sb., 46:4 (1983), 539–559

1982
27.	A. A. Gonchar, “Poles of rows of the Padé table and meromorphic continuation of functions”, Math. USSR-Sb., 43:4 (1982), 527–546

1983
28.	A. A. Gonchar, E. A. Rakhmanov, “On the convergence of simultaneous Padé approximants for systems of functions of Markov type”, Proc. Steklov Inst. Math., 157 (1983), 31–50

1981
29.	A. A. Gonchar, K. N. Lungu, “Poles of diagonal Padé approximants and the analytic continuation of functions”, Math. USSR-Sb., 39:2 (1981), 255–266

1978
30.	A. A. Gonchar, G. López Lagomasino, “On Markov's theorem for multipoint Padé approximants”, Math. USSR-Sb., 34:4 (1978), 449–459
31.	A. A. Gonchar, “On the speed of rational approximation of some analytic functions”, Math. USSR-Sb., 34:2 (1978), 131–145

1984
32.	A. A. Gonchar, “5.6. Rational approximation of analytic functions”, J. Soviet Math., 26:5 (1984), 2218–2220

1976
33.	A. A. Gonchar, L. D. Grigoryan, “On estimates of the norm of the holomorphic component of a meromorphic function”, Math. USSR-Sb., 28:4 (1976), 571–575

1975
34.	A. A. Gonchar, “On the convergence of generalized Padé approximants of meromorphic functions”, Math. USSR-Sb., 27:4 (1975), 503–514
35.	A. A. Gonchar, “On convergence of Padé approximants for some classes of meromorphic functions”, Math. USSR-Sb., 26:4 (1975), 555–575

1974
36.	A. A. Gonchar, “The rate of rational approximation and the property of single-valuedness of an analytic function in the neighborhood of an isolated singular point”, Math. USSR-Sb., 23:2 (1974), 254–270
37.	A. A. Gonchar, “On a theorem of Saff”, Math. USSR-Sb., 23:1 (1974), 149–154
38.	A. A. Gonchar, “A local condition for the single-valuedness of analytic functions of several variables”, Math. USSR-Sb., 22:2 (1974), 305–322

1973
39.	A. A. Gonchar, “On the convergence of Padé approximants”, Math. USSR-Sb., 21:1 (1973), 155–166

1972
40.	A. A. Gonchar, “Rational approximation of the function $x^{\alpha}$”, Konstruktivnaya teoriya funktsii, Trudy mezhdunarodnoi konferentsii (Zolotye peski, Varna, 1970), Izd-vo Bolgar. Akad. nauk, Sofiya, 1972, 51–53
41.	A. A. Gonchar, “Piecewise polynomial approximation”, Math. Notes, 11:2 (1972), 83–86
42.	A. A. Gonchar, “A local condition of single-valuedness of analytic functions”, Math. USSR-Sb., 18:1 (1972), 151–167

1971
43.	A. A. Gonchar, “Kvazianaliticheskie klassy funktsii, svyazannye s nailuchshimi priblizheniyami ratsionalnymi funktsiyami”, Izvestiya AN ArmSSR. Matematika, 6:2-3 (1971), 148–159

1969
44.	A. A. Gonchar, “Zolotarev problems connected with rational functions”, Math. USSR-Sb., 7:4 (1969), 623–635

1968
45.	A. A. Gonchar, “Skorost priblizheniya ratsionalnymi drobyami i svoistva funktsii”, Trudy mezhdun. kongressa matematikov (Moskva, 1966), Mir, M., 1968, 329–356
46.	A. A. Gonchar, “On a generalized analytic continuation”, Math. USSR-Sb., 5:1 (1968), 129–140

1967
47.	A. A. Gonchar, “On the rapidity of rational approximation of continuous functions with characteristic singularities”, Math. USSR-Sb., 2:4 (1967), 561–568
48.	A. A. Gonchar, “Estimates of the growth of rational functions and some of their applications”, Math. USSR-Sb., 1:3 (1967), 445–456

1966
49.	A. A. Gonchar, S. N. Mergelyan, “O ravnomernom priblizhenii analiticheskimi i garmonicheskimi funktsiyami”, Sovremennye problemy teorii analiticheskikh funktsii, Mezhdunarodnaya konferentsiya (Erevan, 1965), eds. M. A. Lavrentev, Nauka, M., 1966, 94–101
50.	A. A. Gonchar, “O kvazianaliticheskom prodolzhenii analiticheskikh funktsii cherez zhordanovu dugu”, Dokl. AN SSSR, 166:5 (1966), 1028–1031	3 ^[x]

1965
51.	A. A. Gonchar, “O svoistve «neustoichivosti» garmonicheskoi emkosti”, Dokl. AN SSSR, 165:3 (1965), 479–481	1 ^[x]

1964
52.	A. A. Gonchar, “O primerakh needinstvennosti analiticheskikh funktsii”, Vestn. Mosk. un-ta. Ser. 1. Matem. Mekh., 1964, no. 1, 37–43
53.	A. A. Gonchar, “O priblizhenii nepreryvnykh funktsii garmonicheskimi”, Dokl. AN SSSR, 154:3 (1964), 503–506	3 ^[x]

1963
54.	A. A. Gonchar, “On the uniform approximation of continuous functions by harmonic functions”, Izv. Akad. Nauk SSSR Ser. Mat., 27:6 (1963), 1239–1250
55.	A. A. Gonchar, “The minimal boundary of the algebra $A(E)$”, Izv. Akad. Nauk SSSR Ser. Mat., 27:4 (1963), 949–955

1962
56.	A. A. Gonchar, “O ryadakh ratsionalnykh funktsii”, Dokl. AN SSSR, 143:6 (1962), 1246–1249	1 ^[x]

1961
57.	A. A. Gonchar, “On overconvergence of sequences of rational functions”, Dokl. AN SSSR, 141:5 (1961), 1019–1022
58.	A. A. Gonchar, “On quasi-analytic continuation of analytic functions”, Dokl. AN SSSR, 141:6 (1961), 1287–1289
59.	A. A. Gonchar, “Converse theorems concerning best approximations by rational functions”, Izv. Akad. Nauk SSSR Ser. Mat., 25:3 (1961), 347–356

1960
60.	A. A. Gonchar, “An inverse theorem in the theory of best approximation”, Dokl. AN ArmSSR, 30 (1960), 193–196
61.	A. A. Gonchar, “Best approximations of measurable functions by rational functions and polynomials”, Izv. Vyssh. Uchebn. Zaved. Mat., 1960, no. 6, 74–81

1959
62.	A. A. Gonchar, “Obratnye teoremy o nailuchshikh priblizheniyakh na zamknutykh mnozhestvakh”, Dokl. AN SSSR, 128:1 (1959), 25–28

1956
63.	A. A. Gonchar, “O novom kvazianaliticheskom klasse funktsii”, Dokl. AN SSSR, 111:5 (1956), 930–932

1955
64.	A. A. Gonchar, “O nailuchshikh priblizheniyakh ratsionalnymi funktsiyami”, Dokl. AN SSSR, 100:2 (1955), 205–208

Presentations in Math-Net.Ru

1.	On the behavior of the support of the equilibrium measure, depending on a parameter A. A. Gonchar, V. S. Buyarov Seminar on Complex Analysis (Gonchar Seminar) March 26, 2012 18:00
2.	On the convergence of Padé–Chebyshev approximations to real-valued algebraic functions (continuation) A. A. Gonchar, S. P. Suetin Seminar on Complex Analysis (Gonchar Seminar) March 22, 2010 18:00
3.	On the convergence of Padé–Chebyshev approximations to real-valued algebraic functions A. A. Gonchar, S. P. Suetin Seminar on Complex Analysis (Gonchar Seminar) March 15, 2010 18:00
4.	1. Sergei N. Mergelian in Moscow. 2. Inverse problems in the theory of Padé approximants A. A. Gonchar Second Russian-Armenian Workshop on Mathematical Physics, Complex Analysis and Related Topics October 7, 2008 10:00

Books in Math-Net.Ru

Analytic and geometric issues of complex analysis, Collected papers, Trudy Mat. Inst. Steklova, 279, ed. A. A. Gonchar, A. G. Sergeev, 2012, 287 с.
http://mi.mathnet.ru/book1465
Complex analysis and applications, Collected papers, Trudy Mat. Inst. Steklova, 253, ed. A. A. Gonchar, E. F. Mishchenko, 2006, 303 с.
http://mi.mathnet.ru/book266
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
Analytic and geometric issues of complex analysis, Collected papers. Dedicated to the 70th anniversary of academician Anatolii Georgievich Vitushkin, Trudy Mat. Inst. Steklova, 235, ed. A. A. Gonchar, E. F. Mishchenko, 2001, 289 с.
http://mi.mathnet.ru/book248

Organisations