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Rozenblum, Grigorii Vladimirovich
Statistics Math-Net.Ru
Total publications: 28
Scientific articles: 24
Presentations: 4

Number of views:
This page:1459
Abstract pages:12683
Full texts:7867
References:498
Candidate of physico-mathematical sciences (1974)
Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
E-mail:

https://www.mathnet.ru/eng/person23499
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/209425

Publications in Math-Net.Ru Citations
2021
1. G. Rozenblum, “Eigenvalue asymptotics for polynomially compact pseudodifferential operators”, Algebra i Analiz, 33:2 (2021),  215–232  mathnet; St. Petersburg Math. J., 33:2 (2022), 341–353 2
2. G. V. Rozenblum, E. M. Shargorodskii, “Eigenvalue asymptotics for weighted polyharmonic operator with a singular measure in the critical case”, Funktsional. Anal. i Prilozhen., 55:2 (2021),  113–117  mathnet  elib; Funct. Anal. Appl., 55:2 (2021), 170–173  isi  scopus 1
2020
3. Grigori V. Rozenblum, Nikolai L. Vasilevski, “Trace Class Toeplitz Operators with Singular Symbols”, Trudy Mat. Inst. Steklova, 311 (2020),  241–249  mathnet  elib; Proc. Steklov Inst. Math., 311 (2020), 225–232  isi  scopus
2019
4. Y. Miyanishi, G. Rozenblum, “Eigenvalues of the Neumann–Poincare operator in dimension 3: Weyl's law and geometry”, Algebra i Analiz, 31:2 (2019),  248–268  mathnet  elib; St. Petersburg Math. J., 31:2 (2019), 371–386  isi  scopus 16
2018
5. G. V. Rozenblum, “On the mathematical papers of Mikhail Zakharovich Solomyak”, Algebra i Analiz, 30:3 (2018),  3–29  mathnet  mathscinet  elib; St. Petersburg Math. J., 30:3 (2019), 391–410  isi  scopus
2013
6. 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
2010
7. 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
2004
8. M. S. Agranovich, G. V. Rozenblum, “Spectral boundary problems for Dirac systems with a singular potential”, Algebra i Analiz, 16:1 (2004),  33–69  mathnet  mathscinet  zmath; St. Petersburg Math. J., 16:1 (2005), 25–57 3
2000
9. G. V. Rozenblum, “Domination of semigroups and estimates for eigenvalues”, Algebra i Analiz, 12:5 (2000),  158–177  mathnet  mathscinet  zmath; St. Petersburg Math. J., 12:5 (2001), 831–845 10
1997
10. 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
1992
11. B. A. Plamenevskii, G. V. Rozenblum, “Pseudodifferential operators with discontinuous symbols: $K$-theory and the index formula”, Funktsional. Anal. i Prilozhen., 26:4 (1992),  45–56  mathnet  mathscinet  zmath; Funct. Anal. Appl., 26:4 (1992), 266–275  isi 3
1991
12. B. A. Plamenevskii, G. V. Rozenblum, “Топологические характеристики алгебры сингулярных интегральных операторов на окружности с разрывными символами”, Algebra i Analiz, 3:5 (1991),  155–167  mathnet  mathscinet  zmath; St. Petersburg Math. J., 3:5 (1992), 1089–1101 2
1990
13. B. A. Plamenevskii, G. V. Rozenblum, “On the index of pseudodifferential operators with isolated singularities in the symbols”, Algebra i Analiz, 2:5 (1990),  165–188  mathnet  mathscinet  zmath; Leningrad Math. J., 2:5 (1991), 1085–1110 1
1989
14. 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
1982
15. G. V. Rozenblum, “Spectral asymptotics of normal operators”, Funktsional. Anal. i Prilozhen., 16:2 (1982),  82–83  mathnet  mathscinet  zmath; Funct. Anal. Appl., 16:2 (1982), 145–146  isi 2
1980
16. G. V. Rozenblum, “Spectral asymptotics for elliptic systems”, Zap. Nauchn. Sem. LOMI, 96 (1980),  255–271  mathnet  mathscinet  zmath; J. Soviet Math., 21:5 (1983), 837–850 5
1978
17. G. V. Rozenblum, “Near-similarity of operators and the spectral asymptotic behavior of pseudodifferential operators on the circle”, Tr. Mosk. Mat. Obs., 36 (1978),  59–84  mathnet  mathscinet  zmath 7
1977
18. G. V. Rozenblum, “An asymptotic of the negative discrete spectrum of the Schrödinger operator”, Mat. Zametki, 21:3 (1977),  399–407  mathnet  mathscinet  zmath; Math. Notes, 21:3 (1977), 222–227 6
1976
19. G. V. Rozenblum, “Distribution of the discrete spectrum of singular differential operators”, Izv. Vyssh. Uchebn. Zaved. Mat., 1976, no. 1,  75–86  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 20:1 (1976), 63–71 8
1975
20. G. V. Rozenblum, “Almost similarity of pseudodifferential systems on a circle”, Dokl. Akad. Nauk SSSR, 223:3 (1975),  569–571  mathnet  mathscinet  zmath 1
1974
21. G. V. Rozenblum, “Asymptotics of the eigenvalues of the Schrödinger operator”, Mat. Sb. (N.S.), 93(135):3 (1974),  347–367  mathnet  mathscinet  zmath; Math. USSR-Sb., 22:3 (1974), 349–371 16
1972
22. G. V. Rozenblum, “The distribution of the discrete spectrum for singular differential operators”, Dokl. Akad. Nauk SSSR, 202:5 (1972),  1012–1015  mathnet  mathscinet  zmath 10
23. G. V. Rozenblum, “On the eigenvalues of the first boundary value problem in unbounded domains”, Mat. Sb. (N.S.), 89(131):2(10) (1972),  234–247  mathnet  mathscinet  zmath; Math. USSR-Sb., 18:2 (1972), 235–248 20
1971
24. G. V. Rozenblum, “On the distribution of eigenvalues of the first boundary value problem in unbounded regions”, Dokl. Akad. Nauk SSSR, 200:5 (1971),  1034–1036  mathnet  zmath 1
2018
25. B. A. Amosov, V. M. Buchstaber, M. M. Malamud, S. P. Novikov, G. V. Rozenblum, T. A. Suslina, L. F. Friedlander, A. A. Shkalikov, “Mikhail Semenovich Agranovich (obituary)”, Uspekhi Mat. Nauk, 73:1(439) (2018),  173–178  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 73:1 (2018), 161–167  isi
2017
26. A. M. Vershik, E. D. Gluskin, V. A. Kozlov, A. A. Laptev, B. M. Makarov, B. S. Mityagin, P. Nevai, G. V. Rozenblum, T. A. Suslina, N. N. Ural'tseva, D. R. Yafaev, “Mikhail Zakharovich Solomyak (obituary)”, Uspekhi Mat. Nauk, 72:5(437) (2017),  181–186  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 72:5 (2017), 955–961  isi
1991
27. M. Sh. Birman, S. G. Krein, O. A. Ladyzhenskaya, G. V. Rozenblum, Yu. G. Safarov, “Mikhail Zakharovich Solomyak (on his sixtieth birthday)”, Uspekhi Mat. Nauk, 46:4(280) (1991),  183–184  mathnet  mathscinet; Russian Math. Surveys, 46:4 (1991), 217–219  isi 2
1990
28. B. A. Plamenevskii, G. V. Rozenblum, “B. Blackadar. $K$-Theory for Operator Algebras. Mathematical Sciences Research Institute Publications, 5. New York: Springer, 1986. 338 p.”, Algebra i Analiz, 2:1 (1990),  244–248  mathnet  mathscinet  zmath

Presentations in Math-Net.Ru
1. On the Weyl asymptotics of the Poincare-Steklov spectral problem
G. V. Rozenblum
V. I. Smirnov Seminar on Mathematical Physics
November 6, 2023 16:30
2. Discrete spectrum of polynomially compact pseudodifferential operators and applications to the Neumann-Poincare operator in 3D elasticity
G. V. Rozenblum
Seminar on Analysis, Differential Equations and Mathematical Physics
December 8, 2022 18:00
3. Mikhail Zakharovich Solomyak (1931-2016) a Leningrad mathematician, an outstanding researcher in Functional Analysis and Mathematical Physics
G. V. Rozenblum
Seminar on the History of Mathematics
May 5, 2022 18:00   
4. Estimates and asymptotics for eigenvalues of Birman-Schwinger-type operator with singular measure in the critical case
G. V. Rozenblum
V. I. Smirnov Seminar on Mathematical Physics
December 28, 2020 16:30   

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