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Beloshapka, Valerii Konstantinovich

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Total publications: 38
Scientific articles: 36
Presentations: 37

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Beloshapka, Valerii Konstantinovich
Professor
Doctor of physico-mathematical sciences (1991)
Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date: 7.01.1953
Phone: +7 (495) 939 36 80, +7 (499) 157 24 90, +7 (909) 151 40 87
E-mail:
Keywords: CR-manifold, model surface, automorphisms group, modulii space, CR-invariant, homogeneous manifold, classifications, graduate Lie algebra, analitical complexity, estimates of the complexity
UDC: 514, 514.748, 514.76, 515.1, 517.5, 517.53, 517.55, 514.763.47, 513.8

Subject:

complex analisys, CR-geometry, complexity of analytic functions

   
Main publications:
  1. Beloshapka V.K., “O golomorfnykh preobrazovaniyakh kvadriki”, Matematicheskii sbornik, 182:2 (1991), 203–219
  2. Beloshapka V.K., “Universalnaya model veschestvennogo podmnogoobraziya”, Matematicheskie zametki, 75:4 (2004), 507–522
  3. Beloshapka V.K., “Moduli Space of Model Real Submanifolds”, Russian Journal of Mathematical Physics, 13:3 (2006), 245–252
  4. Beloshapka V.K., Kossovskiy I.G., “Classification of homogeneous CR-manifolds in dimension 4”, Journal of Mathematical Analysis and Applications (Elsevier Inc.), 374 (2011), 655–672
  5. Beloshapka V.K., “Analytic complexity of functions of two variables”, Russian Journal of Mathematical Physics, 14:3 (2007), 243–249

http://www.mathnet.ru/eng/person11099
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/241360

Publications in Math-Net.Ru
2019
1. Valery K. Beloshapka, “On integration of functions of complexity one”, J. Sib. Fed. Univ. Math. Phys., 12:4 (2019),  496–502  mathnet  isi
2. V. K. Beloshapka, “On the Complextity of the Differential-Algebraic Description of Analytic Complexity Classes”, Mat. Zametki, 105:3 (2019),  323–331  mathnet  elib
2018
3. Valery K. Beloshapka, “Decomposition of functions of finite analytical complexity”, J. Sib. Fed. Univ. Math. Phys., 11:6 (2018),  680–685  mathnet  isi
4. V. K. Beloshapka, “Simple solutions of three equations of mathematical physics”, Tr. Mosk. Mat. Obs., 79:2 (2018),  221–236  mathnet  elib; Trans. Moscow Math. Soc., 2018, 187–200  scopus
2017
5. V. K. Beloshapka, “Analytic Complexity: Gauge Pseudogroup, Its Orbits, and Differential Invariants”, Tr. Mat. Inst. Steklova, 298 (2017),  58–66  mathnet  elib; Proc. Steklov Inst. Math., 298 (2017), 51–59  isi  scopus
2016
6. Valery K. Beloshapka, “Three families of functions of complexity one”, J. Sib. Fed. Univ. Math. Phys., 9:4 (2016),  416–426  mathnet  isi
7. V. K. Beloshapka, “Analytic Complexity of Functions of Several Variables”, Mat. Zametki, 100:6 (2016),  781–789  mathnet  mathscinet  elib; Math. Notes, 100:6 (2016), 774–780  isi  elib  scopus
2015
8. V. K. Beloshapka, “A Seven-Dimensional Family of Simple Harmonic Functions”, Mat. Zametki, 98:6 (2015),  803–808  mathnet  mathscinet  elib; Math. Notes, 98:6 (2015), 867–871  isi  scopus
2012
9. V. K. Beloshapka, “Model-surface method: An infinite-dimensional version”, Tr. Mat. Inst. Steklova, 279 (2012),  20–30  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 279 (2012), 14–24  isi
2008
10. V. K. Beloshapka, V. V. Ezhov, G. Schmalz, “Holomorphic classification of four-dimensional surfaces in $\mathbb C^3$”, Izv. RAN. Ser. Mat., 72:3 (2008),  3–18  mathnet  mathscinet  zmath  elib; Izv. Math., 72:3 (2008), 413–427  isi  elib  scopus
11. Valery K. Beloshapka, “The Programm of Poincaré as Alternative to Klein's Programm (to Centenary of Publication)”, J. Sib. Fed. Univ. Math. Phys., 1:1 (2008),  63–67  mathnet
12. V. K. Beloshapka, “The orbit space of the automorphism group of a model surface of type $(1,2)$”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2008, 3,  13–16  mathnet
2007
13. V. K. Beloshapka, “Representation of the Group of Holomorphic Symmetries of a Real Germ in the Symmetry Group of Its Model Surface”, Mat. Zametki, 82:4 (2007),  515–518  mathnet  mathscinet  zmath  elib; Math. Notes, 82:4 (2007), 461–463  isi  scopus
14. V. K. Beloshapka, “A Counterexample to the Dimension Conjecture”, Mat. Zametki, 81:1 (2007),  136–139  mathnet  mathscinet  zmath  elib; Math. Notes, 81:1 (2007), 117–120  isi  elib  scopus
2006
15. V. K. Beloshapka, V. V. Ezhov, G. Schmalz, “Vitushkin's Germ Theorem for Engel-Type CR Manifolds”, Tr. Mat. Inst. Steklova, 253 (2006),  7–13  mathnet  mathscinet; Proc. Steklov Inst. Math., 253 (2006), 1–7  scopus
2005
16. V. K. Beloshapka, “Symmetries of Real Hypersurfaces in Complex 3-Space”, Mat. Zametki, 78:2 (2005),  171–179  mathnet  mathscinet  zmath  elib; Math. Notes, 78:2 (2005), 156–163  isi  scopus
2004
17. V. K. Beloshapka, “Universal Models For Real Submanifolds”, Mat. Zametki, 75:4 (2004),  507–522  mathnet  mathscinet  zmath  elib; Math. Notes, 75:4 (2004), 475–488  isi
2002
18. V. K. Beloshapka, “Real submanifolds in complex space: polynomial models, automorphisms, and classification problems”, Uspekhi Mat. Nauk, 57:1(343) (2002),  3–44  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 57:1 (2002), 1–41  isi  scopus
2001
19. V. K. Beloshapka, “Polynomial models of real manifolds”, Izv. RAN. Ser. Mat., 65:4 (2001),  3–20  mathnet  mathscinet  zmath  elib; Izv. Math., 65:4 (2001), 641–657  scopus
20. V. K. Beloshapka, “A Cubic Model of a Real Variety”, Mat. Zametki, 70:4 (2001),  503–519  mathnet  mathscinet  zmath  elib; Math. Notes, 70:4 (2001), 457–470  isi
21. V. K. Beloshapka, “A Quasiperiodic System of Polynomial Models of CR-Manifolds”, Tr. Mat. Inst. Steklova, 235 (2001),  7–35  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 235 (2001), 1–28
1997
22. V. K. Beloshapka, “The normal form of germs of four-dimensional real submanifolds in $\mathbb C^5$ at generic $\mathbb{RC}$-singular points”, Mat. Zametki, 61:6 (1997),  931–934  mathnet  mathscinet  zmath; Math. Notes, 61:6 (1997), 777–779  isi
1996
23. V. K. Beloshapka, “Homogeneous real hypersurfaces in $\mathbb C^2$”, Mat. Zametki, 60:5 (1996),  760–764  mathnet  mathscinet  zmath; Math. Notes, 60:5 (1996), 569–572  isi
24. V. K. Beloshapka, “Local invariants and prohibitions on mappings of CR-manifolds”, Mat. Zametki, 60:4 (1996),  588–592  mathnet  mathscinet  zmath  elib; Math. Notes, 60:4 (1996), 438–441  isi
25. V. K. Beloshapka, “Invariants of CR-manifolds associated with the tangent quadric”, Mat. Zametki, 59:1 (1996),  42–52  mathnet  mathscinet  zmath; Math. Notes, 59:1 (1996), 31–38  isi
1994
26. V. K. Beloshapka, “Geometric invariants of a $CR$-manifold”, Mat. Zametki, 55:5 (1994),  3–12  mathnet  mathscinet  zmath; Math. Notes, 55:5 (1994), 439–445  isi
1991
27. V. K. Beloshapka, “On holomorphic transformations of a quadric”, Mat. Sb., 182:2 (1991),  203–219  mathnet  mathscinet  zmath; Math. USSR-Sb., 72:1 (1992), 189–205  isi
1990
28. V. K. Beloshapka, “Construction of the normal form of the equation of a surface of high codimension”, Mat. Zametki, 48:2 (1990),  3–9  mathnet  mathscinet  zmath; Math. Notes, 48:2 (1990), 721–725  isi
29. V. K. Beloshapka, “A uniqueness theorem for automorphisms of a nondegenerate surface in a complex space”, Mat. Zametki, 47:3 (1990),  17–22  mathnet  mathscinet  zmath; Math. Notes, 47:3 (1990), 239–242  isi
1988
30. V. K. Beloshapka, “Finite-dimensionality of the group of automorphisms of a real-analytic surface”, Izv. Akad. Nauk SSSR Ser. Mat., 52:2 (1988),  437–442  mathnet  mathscinet  zmath; Math. USSR-Izv., 32:2 (1989), 443–448
1986
31. V. K. Beloshapka, S. N. Bychkov, “Convex hypersurfaces in $\mathbf C^n$”, Mat. Zametki, 40:5 (1986),  621–626  mathnet  mathscinet  zmath; Math. Notes, 40:5 (1986), 854–857  isi
1982
32. V. K. Beloshapka, “Example of a noncontinuable holomorphic transformation of an analytic hypersurface”, Mat. Zametki, 32:1 (1982),  121–123  mathnet  mathscinet  zmath; Math. Notes, 32:1 (1982), 540–541  isi
1981
33. V. K. Beloshapka, A. G. Vitushkin, “Estimates for the radius of convergence of power series defining mappings of analytic hypersurfaces”, Izv. Akad. Nauk SSSR Ser. Mat., 45:5 (1981),  962–984  mathnet  mathscinet  zmath; Math. USSR-Izv., 19:2 (1982), 241–259
1979
34. V. K. Beloshapka, “On the dimension of the group of automorphisms of an analytic hypersurface”, Izv. Akad. Nauk SSSR Ser. Mat., 43:2 (1979),  243–266  mathnet  mathscinet  zmath; Math. USSR-Izv., 14:2 (1980), 223–245  isi
1978
35. V. K. Beloshapka, “Functions pluriharmonic on a maniford”, Izv. Akad. Nauk SSSR Ser. Mat., 42:3 (1978),  475–483  mathnet  mathscinet  zmath; Math. USSR-Izv., 12:3 (1978), 439–447
1976
36. V. K. Beloshapka, “On a metric property of analytic sets”, Izv. Akad. Nauk SSSR Ser. Mat., 40:6 (1976),  1409–1414  mathnet  mathscinet  zmath; Math. USSR-Izv., 10:6 (1976), 1333–1338

2018
37. 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)”, Uspekhi Mat. Nauk, 73:6(444) (2018),  204–210  mathnet  elib; Russian Math. Surveys, 73:6 (2018), 1137–1144  isi
2002
38. V. K. Beloshapka, V. S. Vladimirov, A. A. Gonchar, E. P. Dolzhenko, N. G. Kruzhilin, V. V. Napalkov, P. V. Paramonov, A. G. Sergeev, P. L. Ul'yanov, E. M. Chirka, “Anatolii Georgievich Vitushkin (on his 70th birthday)”, Uspekhi Mat. Nauk, 57:1(343) (2002),  179–184  mathnet  mathscinet  zmath; Russian Math. Surveys, 57:1 (2002), 183–190  isi

Presentations in Math-Net.Ru
1. General finite type model surfaces
V. K. Beloshapka
Seminar "Complex analysis in several variables" (Vitushkin Seminar)
October 23, 2019 16:45
2. Теорема Блума–Грэма, новая версия $g_{+}$-гипотезы и метод модельной поверхности
V. K. Beloshapka
International conference "8th Russian-Armenian Workshop on Mathematical Physics, Complex Analysis and Related Topics"
September 17, 2019 14:00   
3. TBA
V. K. Beloshapka
Seminar "Complex analysis in several variables" (Vitushkin Seminar)
April 3, 2019 16:45
4. Model CR-manifolds that are not totally non-degenerate
V. K. Beloshapka
Seminar "Complex analysis in several variables" (Vitushkin Seminar)
November 28, 2018 16:45
5. Простота и сложность аналитических функций нескольких комплексных переменных
V. K. Beloshapka
Dynamical systems and differential equations
May 7, 2018 18:30
6. On simplicity and complexity of analytic functions in several variables
V. K. Beloshapka
Mathematical Colloquium of the Bauman Moscow State Technical University
March 15, 2018 17:30
7. Decomposing functions of finite complexity
V. K. Beloshapka
Seminar "Complex analysis in several variables" (Vitushkin Seminar)
March 7, 2018 16:45
8. Relation $ w(x,y) > z(x,y)$ ($w$ is more complex than $z$) on the set of analytic functions
V. K. Beloshapka
Seminar "Complex analysis in several variables" (Vitushkin Seminar)
October 4, 2017 16:45
9. Simple solutions of PDEs of mathematical physics
V. K. Beloshapka
Seminar "Complex analysis in several variables" (Vitushkin Seminar)
April 26, 2017 16:45
10. On the complexity of analytic functions in several variables: "analytic complexity"
V. K. Beloshapka
Seminar on analytic theory of differential equations
April 26, 2017 14:00   
11. Gauge pseudogroup and a characterisation of arithmetic operations in terms of analytic complexity theory
V. K. Beloshapka
Seminar "Complex analysis in several variables" (Vitushkin Seminar)
February 15, 2017 16:45
12. Weierstrass theorem and analytic complexity
V. K. Beloshapka
Seminar "Complex analysis in several variables" (Vitushkin Seminar)
September 21, 2016 16:45
13. On the simplicity and complexity of analytical functions
V. K. Beloshapka
Globus Seminar
May 26, 2016 15:40   
14. Геометрия. Лекция 12
V. K. Beloshapka

November 23, 2015   
15. Геометрия. Лекция 11
V. K. Beloshapka

November 16, 2015   
16. Open problems on the complexity of functions
V. K. Beloshapka
Seminar "Complex analysis in several variables" (Vitushkin Seminar)
November 11, 2015 16:45
17. Геометрия. Лекция 10
V. K. Beloshapka

November 9, 2015   
18. Геометрия. Лекция 8
V. K. Beloshapka

October 26, 2015   
19. Геометрия. Лекция 7
V. K. Beloshapka

October 19, 2015   
20. Эллиптические функции и аналитическая сложность гармонических функций
V. K. Beloshapka
One-day conference "Complex Analysis and Geometry" dedicated to the memory of A. G. Vitushkin
October 6, 2015 10:30   
21. Геометрия. Лекция 5
V. K. Beloshapka

October 5, 2015   
22. Геометрия. Лекция 3
V. K. Beloshapka

September 21, 2015   
23. Triangular-polynomial CR-hierarchies
V. K. Beloshapka
Seminar "Complex analysis in several variables" (Vitushkin Seminar)
September 16, 2015 16:45
24. The sphere in ${\mathbb C}^2$ as a model surface for uniformly 2-non-degenerate hypersurfaces in ${\mathbb C}^3$
V. K. Beloshapka
Seminar "Complex analysis in several variables" (Vitushkin Seminar)
March 18, 2015 16:45
25. Вещественные подмногообразия в комплексных пространствах через 100 лет после А.Пуанкаре и Э.Картана
V. K. Beloshapka
Conference "Moscow Mathematical Society and Lomonosov Moscow State University" dedicated to the 150th anniversary of Moscow Mathematical Society
December 24, 2014 17:50
26. Special seminar dedicated to Vitushkin's memory
V. K. Beloshapka, A. V. Loboda
Seminar "Complex analysis in several variables" (Vitushkin Seminar)
October 8, 2014 16:45
27. Algorithms, holomorphic dynamics, and complexity theory
V. K. Beloshapka
Seminar "Complex analysis in several variables" (Vitushkin Seminar)
March 12, 2014 16:45
28. Complexity of continuous functions of several variables
V. K. Beloshapka
Seminar "Complex analysis in several variables" (Vitushkin Seminar)
September 25, 2013 16:45
29. Symmetries of real hypersurfaces in $\mathbb C^4$: the dimension conjecture
V. K. Beloshapka
Seminar "Complex analysis in several variables" (Vitushkin Seminar)
March 13, 2013 16:45
30. Сложность аналитических функций
V. K. Beloshapka
Knots and Representation Theory
November 13, 2012 18:30
31. Analytic complexity - developing the notion
V. K. Beloshapka
Seminar "Complex analysis in several variables" (Vitushkin Seminar)
October 3, 2012 16:45
32. Spherical hypersurfaces with degenerations of infinite type, the Pinchuk–Webster reflection principle, and holomorphic symmetries of hypersurface germs in $\mathbb C^2$ (after Kossovskiy and Shafikov)
V. K. Beloshapka
Seminar "Complex analysis in several variables" (Vitushkin Seminar)
March 28, 2012 16:45
33. Classification of homogeneous CR-manifolds in dimension 4
Valery Beloshapka
Russian–German conference on Several Complex Variables
February 27, 2012 11:30   
34. 16 problems in function theory (second part)
V. K. Beloshapka
Seminar "Complex analysis in several variables" (Vitushkin Seminar)
December 7, 2011 16:45
35. 16 problems in function theory
V. K. Beloshapka
Seminar "Complex analysis in several variables" (Vitushkin Seminar)
November 30, 2011 16:45
36. Real hypersufaces in $\mathbb C^2$ of infinte type and blood groups
V. K. Beloshapka
Seminar "Complex analysis in several variables" (Vitushkin Seminar)
September 14, 2011 16:45
37. Вещественные подмногообразия комплексного пространства: автоморфизмы, модельные поверхности и пространства модулей
V. K. Beloshapka
Lie groups and invariant theory
November 21, 2007

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