Persons
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
 
Solomyak, Mikhail Zakharovich
(1931–2016)
Statistics Math-Net.Ru
Total publications: 59
Scientific articles: 51
Presentations: 3

Number of views:
This page:4064
Abstract pages:31136
Full texts:17019
References:1180
Doctor of physico-mathematical sciences (1968)
Birth date: 16.05.1931

https://www.mathnet.ru/eng/person18043
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/190433

Publications in Math-Net.Ru Citations
2013
1. G. Rozenblum, M. Solomyak, “On spectral estimates for the Schrödinger operators in global dimension 2”, Algebra i Analiz, 25:3 (2013),  185–199  mathnet  mathscinet  zmath  elib; St. Petersburg Math. J., 25:3 (2014), 495–505  isi  scopus 9
2011
2. M. Z. Solomyak, T. A. Suslina, D. R. Yafaev, “On the mathematical works of M. Sh. Birman”, Algebra i Analiz, 23:1 (2011),  5–60  mathnet  mathscinet  zmath  elib; St. Petersburg Math. J., 23:1 (2012), 1–38  isi  scopus 1
2010
3. G. V. Rozenblum, M. Z. Solomyak, “On Spectral Estimates for Schrödinger-Type Operators: The Case of Small Local Dimension”, Funktsional. Anal. i Prilozhen., 44:4 (2010),  21–33  mathnet  mathscinet  zmath; Funct. Anal. Appl., 44:4 (2010), 259–269  isi  scopus 11
2005
4. M. Z. Solomyak, “A mathematical model for a noninvertible quantum graph”, Algebra i Analiz, 17:5 (2005),  190–231  mathnet  mathscinet  zmath  elib; St. Petersburg Math. J., 17:5 (2006), 835–864 11
2004
5. M. Z. Solomyak, “On the Discrete Spectrum of a Family of Differential Operators”, Funktsional. Anal. i Prilozhen., 38:3 (2004),  70–78  mathnet  mathscinet  zmath; Funct. Anal. Appl., 38:3 (2004), 217–223  isi  scopus 14
1997
6. G. Rozenblum, M. Solomyak, “The Cwikel–Lieb–Rozenblyum estimator for generators of positive semigroups and semigroups dominated by positive semigroups”, Algebra i Analiz, 9:6 (1997),  214–236  mathnet  mathscinet  zmath; St. Petersburg Math. J., 9:6 (1998), 1195–1211 16
1993
7. M. Sh. Birman, M. Z. Solomyak, “Principal singularities of the electric component of an electromagnetic field in regions with screens”, Algebra i Analiz, 5:1 (1993),  143–159  mathnet  mathscinet  zmath; St. Petersburg Math. J., 5:1 (1994), 125–139 22
1989
8. M. Sh. Birman, M. Z. Solomyak, “The selfadjoint Maxwell operator in arbitrary domains”, Algebra i Analiz, 1:1 (1989),  96–110  mathnet  mathscinet  zmath; Leningrad Math. J., 1:1 (1990), 99–115 17
9. G. V. Rozenblum, M. Z. Solomyak, M. A. Shubin, “Spectral theory of differential operators”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 64 (1989),  5–242  mathnet  mathscinet  zmath 32
10. M. Sh. Birman, M. Z. Solomyak, “Estimates for the difference of the fractional powers of self-adjoint operators under unbounded perturbations”, Zap. Nauchn. Sem. LOMI, 178 (1989),  120–145  mathnet  mathscinet  zmath; J. Soviet Math., 61:2 (1992), 2018–2035 6
11. M. S. Birman, M. Z. Solomjak, “Operator integration, perturbations and commutators”, Zap. Nauchn. Sem. LOMI, 170 (1989),  34–66  mathnet  mathscinet  zmath; J. Soviet Math., 63:2 (1993), 129–148 9
1987
12. A. L. Vol'berg, M. Z. Solomyak, “Multiplicity of the spectrum of Toeplitz operators, weighted cocycles and the vector Riemann problem”, Funktsional. Anal. i Prilozhen., 21:3 (1987),  1–10  mathnet  mathscinet  zmath; Funct. Anal. Appl., 21:3 (1987), 175–183  isi 2
13. M. Sh. Birman, M. Z. Solomyak, “$L_2$-Theory of the Maxwell operator in arbitrary domains”, Uspekhi Mat. Nauk, 42:6(258) (1987),  61–76  mathnet  mathscinet  zmath; Russian Math. Surveys, 42:6 (1987), 75–96  isi 117
14. M. Sh. Birman, M. Z. Solomyak, “The Maxwell operator in domains with a nonsmooth boundary”, Sibirsk. Mat. Zh., 28:1 (1987),  23–36  mathnet  mathscinet  zmath; Siberian Math. J., 28:1 (1987), 12–24  isi 26
15. M. Sh. Birman, M. Z. Solomyak, “Construction of a function of class $H^2$ with given conormal derivative in a piecewise smooth domain”, Zap. Nauchn. Sem. LOMI, 163 (1987),  17–28  mathnet  zmath 3
1985
16. M. Z. Solomyak, “Asymptotics of the spectrum of the Schrödinger operator with nonregular homogeneous potential”, Mat. Sb. (N.S.), 127(169):1(5) (1985),  21–39  mathnet  mathscinet  zmath; Math. USSR-Sb., 55:1 (1986), 19–37 16
1984
17. M. Z. Solomyak, “Asymptotic behavior of the spectrum of a Schrödinger operator with nonregular homogeneous potential”, Dokl. Akad. Nauk SSSR, 278:2 (1984),  291–295  mathnet  mathscinet  zmath 4
1983
18. M. Sh. Birman, M. Z. Solomyak, “Compact operators with power-like asymptotics of singular numbers”, Zap. Nauchn. Sem. LOMI, 126 (1983),  21–30  mathnet  mathscinet  zmath 7
1982
19. A. I. Karol', M. Z. Solomyak, “Class of differential operators with abnormal behavior of the spectrum of the Dirichlet problem”, Mat. Zametki, 31:5 (1982),  747–751  mathnet  mathscinet  zmath; Math. Notes, 31:5 (1982), 379–381  isi 3
20. M. Sh. Birman, M. Z. Solomyak, “Asymptotic behavior of the spectrum of variational problems on the solutions of elliptic systems”, Zap. Nauchn. Sem. LOMI, 115 (1982),  23–39  mathnet  mathscinet  zmath; J. Soviet Math., 28:5 (1985), 633–644 7
1980
21. M. Sh. Birman, M. Z. Solomyak, “Asymptotics of the spectrum of variational problems on solutions of elliptic equations in unbounded domains”, Funktsional. Anal. i Prilozhen., 14:4 (1980),  27–35  mathnet  mathscinet  zmath; Funct. Anal. Appl., 14:4 (1980), 267–274  isi 10
1979
22. M. Sh. Birman, A. M. Vershik, M. Z. Solomyak, “Product of commuting spectral measures need not be countably additive”, Funktsional. Anal. i Prilozhen., 13:1 (1979),  61–62  mathnet  mathscinet  zmath; Funct. Anal. Appl., 13:1 (1979), 48–49 24
23. M. Sh. Birman, M. Z. Solomyak, “Asymptotic behavior of the spectrum of variational problems on solutions of elliptic equations”, Sibirsk. Mat. Zh., 20:1 (1979),  3–22  mathnet  mathscinet  zmath; Siberian Math. J., 20:1 (1979), 1–15  isi 24
1977
24. M. Sh. Birman, M. Z. Solomyak, “Asymptotic properties of the spectrum of differential equations”, Itogi Nauki i Tekhn. Ser. Mat. Anal., 14 (1977),  5–58  mathnet  mathscinet  zmath; J. Soviet Math., 12:3 (1979), 247–283 80
25. M. Sh. Birman, M. Z. Solomyak, “Estimates of singular numbers of integral operators”, Uspekhi Mat. Nauk, 32:1(193) (1977),  17–84  mathnet  mathscinet  zmath; Russian Math. Surveys, 32:1 (1977), 15–89 99
1975
26. M. Sh. Birman, L. S. Koplienko, M. Z. Solomyak, “Estimates of the spectrum of a difference of fractional powers of selfadjoint operators”, Izv. Vyssh. Uchebn. Zaved. Mat., 1975, no. 3,  3–10  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 19:3 (1975), 1–6 5
1974
27. I. L. Vulis, M. Z. Solomyak, “Spectral asymptotics of second-order degenerate elliptic operators”, Izv. Akad. Nauk SSSR Ser. Mat., 38:6 (1974),  1362–1392  mathnet  mathscinet  zmath; Math. USSR-Izv., 8:6 (1974), 1343–1371 7
1973
28. M. Sh. Birman, M. Z. Solomyak, “Equivalent renormings of $W_p^r$ classes in the case of partitioning of the domain”, Izv. Vyssh. Uchebn. Zaved. Mat., 1973, no. 3,  19–27  mathnet  mathscinet  zmath 2
29. M. Š. Birman, M. Z. Solomyak, “Spectral asymptotics of nonsmooth elliptic operators. I, II”, Tr. Mosk. Mat. Obs., 28 (1973),  3–34  mathnet  mathscinet  zmath 16
1972
30. I. L. Vulis, M. Z. Solomyak, “Spectral asymptotics of degenerate elliptic operators”, Dokl. Akad. Nauk SSSR, 207:2 (1972),  262–265  mathnet  mathscinet  zmath 6
31. M. Sh. Birman, M. Z. Solomyak, “Spectral asymptotics of nonsmooth elliptic operators”, Dokl. Akad. Nauk SSSR, 205:2 (1972),  267–270  mathnet  mathscinet  zmath 4
32. M. Sh. Birman, M. Z. Solomyak, “Spectral asymptotics of nonsmooth elliptic operators. I, II”, Tr. Mosk. Mat. Obs., 27 (1972),  3–52  mathnet  mathscinet  zmath 22
33. V. I. Matsaev, M. Z. Solomyak, “On existence conditions for the Stieltjes integral”, Mat. Sb. (N.S.), 88(130):4(8) (1972),  522–535  mathnet  mathscinet  zmath; Math. USSR-Sb., 17:4 (1972), 515–527 9
34. M. Sh. Birman, M. Z. Solomyak, “Remarks on spectral shift function”, Zap. Nauchn. Sem. LOMI, 27 (1972),  33–46  mathnet  mathscinet  zmath 12
1971
35. M. Sh. Birman, M. Z. Solomyak, “On the asymptotic spectrum of “nonsmooth” elliptic equations”, Funktsional. Anal. i Prilozhen., 5:1 (1971),  69–70  mathnet  mathscinet  zmath; Funct. Anal. Appl., 5:1 (1971), 56–57 9
1970
36. M. Sh. Birman, M. Z. Solomyak, “Leading term in the asymptotic spectral formula for “nonsmooth” elliptic problems”, Funktsional. Anal. i Prilozhen., 4:4 (1970),  1–13  mathnet  mathscinet  zmath; Funct. Anal. Appl., 4:4 (1970), 265–275 31
37. M. Sh. Birman, M. Z. Solomyak, “Asymptotic behavior of the spectrum of weakly polar integral operators”, Izv. Akad. Nauk SSSR Ser. Mat., 34:5 (1970),  1142–1158  mathnet  mathscinet  zmath; Math. USSR-Izv., 4:5 (1970), 1151–1168 24
1969
38. M. Sh. Birman, M. Z. Solomyak, “Remarks on the nuclearity of integral operators and the boundedness of pseudodifferential operators”, Izv. Vyssh. Uchebn. Zaved. Mat., 1969, no. 9,  11–17  mathnet  mathscinet  zmath 5
1967
39. M. Z. Solomyak, V. M. Tikhomirov, “Geometric characteristics of the imbedding of the classes $W_p^\alpha$ in $C$”, Izv. Vyssh. Uchebn. Zaved. Mat., 1967, no. 10,  76–82  mathnet  mathscinet  zmath 7
40. M. Sh. Birman, M. Z. Solomyak, “Piecewise-polynomial approximations of functions of the classes $W_p^\alpha$”, Mat. Sb. (N.S.), 73(115):3 (1967),  331–355  mathnet  mathscinet  zmath; Math. USSR-Sb., 2:3 (1967), 295–317 133
41. M. Z. Solomyak, “On transformators, generated by the operator Stiltjes double-integrals”, Zap. Nauchn. Sem. LOMI, 5 (1967),  201–231  mathnet  mathscinet  zmath 1
1966
42. M. Sh. Birman, M. Z. Solomyak, “Double Stieltjes operator integrals and problems on multipliers”, Dokl. Akad. Nauk SSSR, 171:6 (1966),  1251–1254  mathnet  mathscinet  zmath 2
43. M. Sh. Birman, M. Z. Solomyak, “Approximation of functions of the $W_p^\alpha$-classes by piece-wise-polynomial functions”, Dokl. Akad. Nauk SSSR, 171:5 (1966),  1015–1018  mathnet  mathscinet  zmath 3
1965
44. M. Sh. Birman, M. Z. Solomyak, “On double Stieltjes operator integrals”, Dokl. Akad. Nauk SSSR, 165:6 (1965),  1223–1226  mathnet  mathscinet  zmath 3
1963
45. M. Z. Solomyak, “On linear elliptic systems of first order”, Dokl. Akad. Nauk SSSR, 150:1 (1963),  48–51  mathnet  mathscinet  zmath 6
46. M. Z. Solomyak, “On local properties of fractional powers of elliptic operators”, Uspekhi Mat. Nauk, 18:2(110) (1963),  184–185  mathnet 1
1962
47. M. Z. Solomyak, “On the spaces conjugate to the $W_p^l$ spaces of S. L. Sobolev”, Dokl. Akad. Nauk SSSR, 143:6 (1962),  1289–1292  mathnet  mathscinet  zmath 1
1961
48. M. Z. Solomyak, “Elliptic operators on two-dimensional manifolds”, Dokl. Akad. Nauk SSSR, 139:1 (1961),  37–39  mathnet  mathscinet  zmath 1
1960
49. M. Z. Solomyak, “On differential equations in Banach spaces”, Izv. Vyssh. Uchebn. Zaved. Mat., 1960, no. 1,  198–209  mathnet  mathscinet  zmath 1
50. M. Z. Solomyak, “Evaluation of norm of the resolvent of elliptic operators in $L_p$-spaces”, Uspekhi Mat. Nauk, 15:6(96) (1960),  141–148  mathnet  mathscinet  zmath 2
1958
51. M. Z. Solomyak, “The application of the semigroup theory to the study of differential equations in Banach spaces”, Dokl. Akad. Nauk SSSR, 122:5 (1958),  766–769  mathnet  mathscinet  zmath 13
2010
52. V. M. Babich, V. S. Buslaev, A. M. Vershik, S. G. Gindikin, S. V. Kislyakov, A. A. Laptev, V. A. Marchenko, N. K. Nikol'skii, L. A. Pastur, B. A. Plamenevskii, M. Z. Solomyak, T. A. Suslina, N. N. Ural'tseva, L. D. Faddeev, V. P. Khavin, D. R. Yafaev, “Mikhail Shlemovich Birman (obituary)”, Uspekhi Mat. Nauk, 65:3(393) (2010),  185–190  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 65:3 (2010), 569–575  isi 1
2004
53. V. S. Buslaev, M. Z. Solomyak, D. R. Yafaev, “Mikhail Shlemovich Birman (on the Occasion of his 75th Birthday)”, Algebra i Analiz, 16:1 (2004),  5–14  mathnet  mathscinet  zmath; St. Petersburg Math. J., 16:1 (2005), 1–8 1
54. V. I. Arnol'd, M. Sh. Birman, A. M. Vershik, M. I. Vishik, I. M. Gel'fand, I. A. Ibragimov, V. P. Maslov, S. P. Novikov, G. A. Seregin, Ya. G. Sinai, M. Z. Solomyak, V. A. Solonnikov, N. N. Ural'tseva, L. D. Faddeev, “Olga Aleksandrovna Ladyzhenskaya (obituary)”, Uspekhi Mat. Nauk, 59:3(357) (2004),  151–152  mathnet  mathscinet  zmath; Russian Math. Surveys, 59:3 (2004), 553–555  isi 2
2001
55. M. Z. Solomyak, “A few words about Viktor Abramovich Zalgaller”, Zap. Nauchn. Sem. POMI, 280 (2001),  22–27  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 119:2 (2004), 138–140 1
2000
56. V. S. Buslaev, A. M. Vershik, I. M. Gel'fand, S. G. Gindikin, O. A. Ladyzhenskaya, M. Z. Solomyak, L. D. Faddeev, D. R. Yafaev, “Mikhail Shlyomovich Birman (on his 70th birthday)”, Uspekhi Mat. Nauk, 55:1(331) (2000),  204–207  mathnet  mathscinet  zmath; Russian Math. Surveys, 55:1 (2000), 201–205  isi 2
1994
57. V. I. Arnol'd, M. Sh. Birman, I. M. Gel'fand, I. A. Ibragimov, S. V. Kerov, A. A. Kirillov, O. A. Ladyzhenskaya, G. A. Leonov, A. A. Lodkin, S. P. Novikov, Ya. G. Sinai, M. Z. Solomyak, L. D. Faddeev, “Anatolii Moiseevich Vershik (on his sixtieth birthday)”, Uspekhi Mat. Nauk, 49:3(297) (1994),  195–204  mathnet  mathscinet; Russian Math. Surveys, 49:3 (1994), 207–221  isi 3
1991
58. A. D. Aleksandrov, S. S. Kutateladze, Yu. G. Reshetnyak, G. Sh. Rubinshtein, M. Z. Solomyak, “Viktor Abramovich Zalgaller (on his seventieth birthday)”, Uspekhi Mat. Nauk, 46:1(277) (1991),  215–216  mathnet  mathscinet  zmath; Russian Math. Surveys, 46:1 (1991), 257–259  isi 6
1988
59. V. S. Buslaev, I. M. Gel'fand, O. A. Ladyzhenskaya, B. S. Pavlov, M. Z. Solomyak, L. D. Faddeev, D. R. Yafaev, “Mikhail Shlëmovich Birman (on his sixtieth birthday)”, Uspekhi Mat. Nauk, 43:3(261) (1988),  201–202  mathnet  mathscinet; Russian Math. Surveys, 43:3 (1988), 233–235  isi 2

Presentations in Math-Net.Ru
1. М. З. Соломяк о В. А. Залгаллере
M. Z. Solomyak
December 26, 2010   
2. On spectral properties of Laplacian on metric graphs
M. Z. Solomyak
General Mathematics Seminar of the St. Petersburg Division of Steklov Institute of Mathematics, Russian Academy of Sciences
July 11, 2002
3. On spectral properties of the Laplacian on metric graphs
M. Z. Solomyak
Meetings of the St. Petersburg Mathematical Society
July 11, 2002

Organisations
 
  Contact us:
  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024