Brudnyi Yurii Abramovich

Publications in Math-Net.Ru

1. Compactness criteria for spaces of measurable functions
   
   Algebra i Analiz, 26:1 (2014),  68–93
2. Traces of $C^k$ functions to weak Markov subsets of $\mathbb R^n$
   
   Algebra i Analiz, 23:1 (2011),  61–86
3. Linear and nonlinear extensions of Lipschitz functions from subsets of metric spaces
   
   Algebra i Analiz, 19:3 (2007),  106–118
4. Simultaneous Lipschitz extensions
   
   Uspekhi Mat. Nauk, 60:6(366) (2005),  53–72
5. Nonlinear $N$-term approximation by refinable functions
   
   Algebra i Analiz, 16:1 (2004),  163–206
6. An algorithm of nonlinear approximation by piecewise polynomials
   
   Mat. Fiz. Anal. Geom., 9:3 (2002),  311–325
7. Real interpolation of a family of spaces of smooth functions
   
   Dokl. Akad. Nauk, 349:6 (1996),  729–731
8. Adaptive approximation of functions with singularities
   
   Tr. Mosk. Mat. Obs., 55 (1994),  149–242
9. Nonlinear spline approximation of functions of several variables and $B$-spaces
   
   Algebra i Analiz, 4:4 (1992),  45–79
10. Extension of functions with preservation of smoothness
    
    Trudy Mat. Inst. Steklov., 180 (1987),  60–61
11. Interpolation of linear operators
    
    Itogi Nauki i Tekhn. Ser. Mat. Anal., 24 (1986),  3–163
12. A linear extension operator for a space of smooth functions defined on a closed subset in $\mathbf{R}^n$
    
    Dokl. Akad. Nauk SSSR, 280:2 (1985),  268–272
13. Functors of real interpolation
    
    Dokl. Akad. Nauk SSSR, 256:1 (1981),  14–17
14. Rational approximation and imbedding theorems
    
    Dokl. Akad. Nauk SSSR, 247:2 (1979),  269–272
15. On a theorem of extension for one family of functional spaces
    
    Zap. Nauchn. Sem. LOMI, 56 (1976),  170–173
16. Moduli of continuity and rearrangements
    
    Mat. Zametki, 18:1 (1975),  63–66
17. On a property of functions from the space $H_p^\lambda$
    
    Dokl. Akad. Nauk SSSR, 215:5 (1974),  1029–1031
18. Spline approximation, and functions of bounded variation
    
    Dokl. Akad. Nauk SSSR, 215:3 (1974),  511–513
19. Local approximations and differentiability of functions of several variables
    
    Uspekhi Mat. Nauk, 29:4(178) (1974),  163–164
20. On an extremal problem for polynomials in $n$ variables
    
    Izv. Akad. Nauk SSSR Ser. Mat., 37:2 (1973),  344–355
21. The rearrangement of a smooth function
    
    Uspekhi Mat. Nauk, 27:2(164) (1972),  165–166
22. Piecewise polynomial approximation and local approximations
    
    Dokl. Akad. Nauk SSSR, 201:1 (1971),  16–18
23. Lipschitz spaces of functions
    
    Dokl. Akad. Nauk SSSR, 197:1 (1971),  18–20
24. Spaces that are definable by means of local approximations
    
    Tr. Mosk. Mat. Obs., 24 (1971),  69–132
25. Approximation of functions defined in a convex polyhedron
    
    Dokl. Akad. Nauk SSSR, 195:5 (1970),  1007–1009
26. Spaces that can be defined by variation of local approximations
    
    Dokl. Akad. Nauk SSSR, 190:4 (1970),  753–755
27. Extension theorem
    
    Funktsional. Anal. i Prilozhen., 4:3 (1970),  97–98
28. Approximation of functions of $n$ variables by quasipolynomials
    
    Izv. Akad. Nauk SSSR Ser. Mat., 34:3 (1970),  564–583
29. A multidimensional analog of a theorem of Whitney
    
    Mat. Sb. (N.S.), 82(124):2(6) (1970),  175–191
30. A certain problem of combinatorial geometry
    
    Sibirsk. Mat. Zh., 11:5 (1970),  1171–1173
31. The approximation of functions by algebraic polynomials
    
    Izv. Akad. Nauk SSSR Ser. Mat., 32:4 (1968),  780–787
32. Criteria for the existence of derivatives in $L^p$
    
    Mat. Sb. (N.S.), 73(115):1 (1967),  42–64
33. On the local best approximation to functions by polynomials
    
    Dokl. Akad. Nauk SSSR, 161:4 (1965),  746–749
34. Investigation of properties of non-periodic functions of several variables by methods in the theory of approximation
    
    Uspekhi Mat. Nauk, 20:5(125) (1965),  270–272
35. Generalization of a theorem of A. F. Timan
    
    Dokl. Akad. Nauk SSSR, 148:6 (1963),  1237–1240
36. The order of growth of $\varepsilon$-entropy on certain classes of functions
    
    Dokl. Akad. Nauk SSSR, 148:5 (1963),  1001–1004
37. Approximation by piecewise polynomial functions
    
    Izv. Akad. Nauk SSSR Ser. Mat., 27:4 (1963),  723–746
38. Approximation by piecewise polynomial functions
    
    Dokl. Akad. Nauk SSSR, 141:6 (1961),  1283–1286
39. The measure of the point set of maximal deviation
    
    Izv. Akad. Nauk SSSR Ser. Mat., 24:1 (1960),  129–144
40. Generalization of a theorem of Hardy and Littlewood
    
    Mat. Sb. (N.S.), 52(94):3 (1960),  891–894
41. Approximation by entire functions on the exterior of an interval and on a semi-axis
    
    Izv. Akad. Nauk SSSR Ser. Mat., 23:4 (1959),  595–612
42. On a problem raised by N. N. Lusin
    
    Dokl. Akad. Nauk SSSR, 113:1 (1957),  12–15
43. On the maximum modulus of a quasi-smooth function
    
    Uspekhi Mat. Nauk, 12:4(76) (1957),  273–275


44. Evgenii Alekseevich Gorin (obituary)
    
    Uspekhi Mat. Nauk, 74:5(449) (2019),  170–180
45. Поправки к статье "Об одном свойстве функции из пространства $H_p^\lambda$" (ДАН, т. 215, № 5, 1974 г.)
    
    Dokl. Akad. Nauk SSSR, 218:6 (1974),  744