Beloshapka Valerii Konstantinovich

Publications in Math-Net.Ru

1. Research activity on the Chair of Theory of Functions and Functional Analysis
   
   Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2025, no. 1,  39–50
2. Bounded-degree subgroups of the Cremona group in $\mathrm{CR}$-geometry
   
   Funktsional. Anal. i Prilozhen., 58:4 (2024),  138–141
3. Geometric constructions in the theory of analytic complexity
   
   Izv. RAN. Ser. Mat., 88:3 (2024),  3–11
4. On hypergeometric functions of two variables of complexity one
   
   J. Sib. Fed. Univ. Math. Phys., 17:2 (2024),  175–188
5. Измерение сложности функций
   
   Tr. Mosk. Mat. Obs., 85:1 (2024),  13–25
6. Analytic Complexity: Functions with One-Dimensional Stabilizer in the Gauge Group
   
   Mat. Zametki, 115:5 (2024),  679–689
7. Modification of Poincaré's construction and its application in $CR$-geometry of hypersurfaces in $\mathbf{C}^4$
   
   Izv. RAN. Ser. Mat., 86:5 (2022),  18–42
8. Simple solutions of the Burgers and Hopf equations
   
   Izv. RAN. Ser. Mat., 85:3 (2021),  5–12
9. On integration of functions of complexity one
   
   J. Sib. Fed. Univ. Math. Phys., 12:4 (2019),  496–502
10. On the Complextity of the Differential-Algebraic Description of Analytic Complexity Classes
    
    Mat. Zametki, 105:3 (2019),  323–331
11. Decomposition of functions of finite analytical complexity
    
    J. Sib. Fed. Univ. Math. Phys., 11:6 (2018),  680–685
12. Simple solutions of three equations of mathematical physics
    
    Tr. Mosk. Mat. Obs., 79:2 (2018),  221–236
13. Analytic Complexity: Gauge Pseudogroup, Its Orbits, and Differential Invariants
    
    Trudy Mat. Inst. Steklova, 298 (2017),  58–66
14. Three families of functions of complexity one
    
    J. Sib. Fed. Univ. Math. Phys., 9:4 (2016),  416–426
15. Analytic Complexity of Functions of Several Variables
    
    Mat. Zametki, 100:6 (2016),  781–789
16. A Seven-Dimensional Family of Simple Harmonic Functions
    
    Mat. Zametki, 98:6 (2015),  803–808
17. Model-surface method: An infinite-dimensional version
    
    Trudy Mat. Inst. Steklova, 279 (2012),  20–30
18. Holomorphic classification of four-dimensional surfaces in $\mathbb C^3$
    
    Izv. RAN. Ser. Mat., 72:3 (2008),  3–18
19. 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
20. The orbit space of the automorphism group of a model surface of type $(1,2)$
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2008, no. 3,  13–16
21. 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
22. A Counterexample to the Dimension Conjecture
    
    Mat. Zametki, 81:1 (2007),  136–139
23. Vitushkin's Germ Theorem for Engel-Type CR Manifolds
    
    Trudy Mat. Inst. Steklova, 253 (2006),  7–13
24. Symmetries of Real Hypersurfaces in Complex 3-Space
    
    Mat. Zametki, 78:2 (2005),  171–179
25. Universal Models For Real Submanifolds
    
    Mat. Zametki, 75:4 (2004),  507–522
26. Real submanifolds in complex space: polynomial models, automorphisms, and classification problems
    
    Uspekhi Mat. Nauk, 57:1(343) (2002),  3–44
27. Polynomial models of real manifolds
    
    Izv. RAN. Ser. Mat., 65:4 (2001),  3–20
28. A Cubic Model of a Real Variety
    
    Mat. Zametki, 70:4 (2001),  503–519
29. A Quasiperiodic System of Polynomial Models of CR-Manifolds
    
    Trudy Mat. Inst. Steklova, 235 (2001),  7–35
30. 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
31. Homogeneous real hypersurfaces in $\mathbb C^2$
    
    Mat. Zametki, 60:5 (1996),  760–764
32. Local invariants and prohibitions on mappings of CR-manifolds
    
    Mat. Zametki, 60:4 (1996),  588–592
33. Invariants of CR-manifolds associated with the tangent quadric
    
    Mat. Zametki, 59:1 (1996),  42–52
34. Geometric invariants of a $CR$-manifold
    
    Mat. Zametki, 55:5 (1994),  3–12
35. On holomorphic transformations of a quadric
    
    Mat. Sb., 182:2 (1991),  203–219
36. Construction of the normal form of the equation of a surface of high codimension
    
    Mat. Zametki, 48:2 (1990),  3–9
37. A uniqueness theorem for automorphisms of a nondegenerate surface in a complex space
    
    Mat. Zametki, 47:3 (1990),  17–22
38. Finite-dimensionality of the group of automorphisms of a real-analytic surface
    
    Izv. Akad. Nauk SSSR Ser. Mat., 52:2 (1988),  437–442
39. Convex hypersurfaces in $\mathbf C^n$
    
    Mat. Zametki, 40:5 (1986),  621–626
40. Example of a noncontinuable holomorphic transformation of an analytic hypersurface
    
    Mat. Zametki, 32:1 (1982),  121–123
41. 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
42. On the dimension of the group of automorphisms of an analytic hypersurface
    
    Izv. Akad. Nauk SSSR Ser. Mat., 43:2 (1979),  243–266
43. Functions pluriharmonic on a maniford
    
    Izv. Akad. Nauk SSSR Ser. Mat., 42:3 (1978),  475–483
44. On a metric property of analytic sets
    
    Izv. Akad. Nauk SSSR Ser. Mat., 40:6 (1976),  1409–1414


45. Evgenii Mikhailovich Chirka (on his 75th birthday)
    
    Uspekhi Mat. Nauk, 73:6(444) (2018),  204–210
46. Anatolii Georgievich Vitushkin (on his 70th birthday)
    
    Uspekhi Mat. Nauk, 57:1(343) (2002),  179–184