Mel'nikov Mark Samuilovich

Publications in Math-Net.Ru

1. $C^1$-extension of subharmonic functions from closed Jordan domains in $\mathbb R^2$
   
   Izv. RAN. Ser. Mat., 68:6 (2004),  105–118
2. $C^1$-approximation and extension of subharmonic functions
   
   Mat. Sb., 192:4 (2001),  37–58
3. Saga of the Painlevé Problem and Analytic Capacity
   
   Trudy Mat. Inst. Steklova, 235 (2001),  157–164
4. Analytic capacity: discrete approach and curvature of measure
   
   Mat. Sb., 186:6 (1995),  57–76
5. Approximations of the exponential function and relative closeness of stable signals
   
   Mat. Sb., 182:11 (1991),  1542–1558
6. Relative proximity of functions, and Laplace transforms
   
   Dokl. Akad. Nauk SSSR, 311:5 (1990),  1097–1102
7. 3.7. Analytic capacity and rational approximation
   
   Zap. Nauchn. Sem. LOMI, 81 (1978),  207–209
8. A criterion for points to belong to the same Gleason part of the algebra $R(X)$
   
   Izv. Akad. Nauk SSSR Ser. Mat., 41:5 (1977),  1161–1169
9. On interpolation sets for the algebra $R(X)$
   
   Izv. Akad. Nauk SSSR Ser. Mat., 41:2 (1977),  325–333
10. On the Gleason parts of the algebra $R(X)$
    
    Mat. Sb. (N.S.), 101(143):2(10) (1976),  293–300
11. Questions of the theory of approximation of functions of a complex variable
    
    Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat., 4 (1975),  143–250
12. Metric properties of analytic $\alpha$-capacity and approximation of analytic functions with a Hölder condition by rational functions
    
    Mat. Sb. (N.S.), 79(121):1(5) (1969),  118–127
13. Analytic capacity and the Cauchy integral
    
    Dokl. Akad. Nauk SSSR, 172:1 (1967),  26–29
14. Structure of the gleason part of the algebra $R(E)$
    
    Funktsional. Anal. i Prilozhen., 1:1 (1967),  97–100
15. Estimate of the Cauchy integral over an analytic curve
    
    Mat. Sb. (N.S.), 71(113):4 (1966),  503–514
16. On the boundedness of variations of a manifold
    
    Tr. Mosk. Mat. Obs., 14 (1965),  306–337
17. Incommensurability of the minimal linear measure with the length of a set
    
    Dokl. Akad. Nauk SSSR, 151:6 (1963),  1256–1259
18. Dependence of volume and diameter of sets in an $n$-dimensional Banach space
    
    Uspekhi Mat. Nauk, 18:4(112) (1963),  165–170