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Mel'nikov, Mark Samuilovich

Statistics Math-Net.Ru
Total publications: 18
Scientific articles: 18
Presentations: 3

Number of views:
This page:1028
Abstract pages:5583
Full texts:2552
References:449
Professor
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https://www.mathnet.ru/eng/person8324
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/244827

Publications in Math-Net.Ru Citations
2004
1. M. S. Mel'nikov, P. V. Paramonov, “$C^1$-extension of subharmonic functions from closed Jordan domains in $\mathbb R^2$”, Izv. RAN. Ser. Mat., 68:6 (2004),  105–118  mathnet  mathscinet  zmath; Izv. Math., 68:6 (2004), 1165–1178  isi  scopus 8
2001
2. J. Verdera, M. S. Mel'nikov, P. V. Paramonov, “$C^1$-approximation and extension of subharmonic functions”, Mat. Sb., 192:4 (2001),  37–58  mathnet  mathscinet  zmath; Sb. Math., 192:4 (2001), 515–535  isi  scopus 27
3. M. S. Mel'nikov, “Saga of the Painlevé Problem and Analytic Capacity”, Trudy Mat. Inst. Steklova, 235 (2001),  157–164  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 235 (2001), 150–157 4
1995
4. M. S. Mel'nikov, “Analytic capacity: discrete approach and curvature of measure”, Mat. Sb., 186:6 (1995),  57–76  mathnet  mathscinet  zmath; Sb. Math., 186:6 (1995), 827–846  isi 58
1991
5. L. A. Balashov, Yu. A. Dreizin, M. S. Mel'nikov, “Approximations of the exponential function and relative closeness of stable signals”, Mat. Sb., 182:11 (1991),  1542–1558  mathnet  mathscinet  zmath; Math. USSR-Sb., 74:2 (1993), 291–307  isi
1990
6. L. A. Balashov, Yu. A. Dreizin, M. S. Mel'nikov, “Relative proximity of functions, and Laplace transforms”, Dokl. Akad. Nauk SSSR, 311:5 (1990),  1097–1102  mathnet  mathscinet; Dokl. Math., 35:4 (1990), 337–339
1978
7. A. G. Vitushkin, M. S. Mel'nikov, “3.7. Analytic capacity and rational approximation”, Zap. Nauchn. Sem. LOMI, 81 (1978),  207–209  mathnet; J. Soviet Math., 26:5 (1984), 2237–2238
1977
8. M. S. Mel'nikov, “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  mathnet  mathscinet  zmath; Math. USSR-Izv., 11:5 (1977), 1109–1117
9. K. Val'des Kastro, M. S. Mel'nikov, “On interpolation sets for the algebra $R(X)$”, Izv. Akad. Nauk SSSR Ser. Mat., 41:2 (1977),  325–333  mathnet  mathscinet  zmath; Math. USSR-Izv., 11:2 (1977), 308–316 1
1976
10. M. S. Mel'nikov, “On the Gleason parts of the algebra $R(X)$”, Mat. Sb. (N.S.), 101(143):2(10) (1976),  293–300  mathnet  mathscinet  zmath; Math. USSR-Sb., 30:2 (1976), 261–268  isi 6
1975
11. M. S. Mel'nikov, S. O. Sinanyan, “Questions of the theory of approximation of functions of a complex variable”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat., 4 (1975),  143–250  mathnet  mathscinet  zmath; J. Soviet Math., 5:5 (1976), 688–752 17
1969
12. M. S. Mel'nikov, “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  mathnet  mathscinet  zmath; Math. USSR-Sb., 8:1 (1969), 115–124 6
1967
13. M. S. Mel'nikov, “Analytic capacity and the Cauchy integral”, Dokl. Akad. Nauk SSSR, 172:1 (1967),  26–29  mathnet  mathscinet  zmath 1
14. M. S. Mel'nikov, “Structure of the gleason part of the algebra $R(E)$”, Funktsional. Anal. i Prilozhen., 1:1 (1967),  97–100  mathnet  mathscinet  zmath; Funct. Anal. Appl., 1:1 (1967), 84–86 3
1966
15. M. S. Mel'nikov, “Estimate of the Cauchy integral over an analytic curve”, Mat. Sb. (N.S.), 71(113):4 (1966),  503–514  mathnet  mathscinet  zmath 9
1965
16. A. M. Leontovich, M. S. Mel'nikov, “On the boundedness of variations of a manifold”, Tr. Mosk. Mat. Obs., 14 (1965),  306–337  mathnet  mathscinet  zmath 1
1963
17. A. G. Vitushkin, L. D. Ivanov, M. S. Mel'nikov, “Incommensurability of the minimal linear measure with the length of a set”, Dokl. Akad. Nauk SSSR, 151:6 (1963),  1256–1259  mathnet  mathscinet  zmath 1
18. M. S. Mel'nikov, “Dependence of volume and diameter of sets in an $n$-dimensional Banach space”, Uspekhi Mat. Nauk, 18:4(112) (1963),  165–170  mathnet  mathscinet  zmath

Presentations in Math-Net.Ru
1. Memorial meeting (conference room 9th floor)
E. M. Chirka, S. Yu. Orevkov, A. G. Sergeev, V. M. Buchstaber, M. S. Mel'nikov, A. B. Zhizhchenko
International Conference on Complex Analysis Dedicated to the memory of Andrei Gonchar and Anatoliy Vitushkin
October 10, 2016 18:00   
2. Again about semiadditivity of analytic capacity
M. S. Mel'nikov
International Conference on Complex Analysis Dedicated to the memory of Andrei Gonchar and Anatoliy Vitushkin
October 10, 2016 12:30   
3. Special seminar dedicated to Vitushkin's memory
M. S. Mel'nikov
Seminar on Complex Analysis (Gonchar Seminar)
October 6, 2014 18:00

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