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Antonevich, Anatolij Borisovich

Statistics Math-Net.Ru
Total publications: 56
Scientific articles: 56
Presentations: 3

Number of views:
This page:4789
Abstract pages:15032
Full texts:5534
References:1577
Professor
Doctor of physico-mathematical sciences
E-mail:

https://www.mathnet.ru/eng/person18212
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/195447
https://orcid.org/0000-0002-2960-9640

Publications in Math-Net.Ru Citations
2024
1. A. B. Antonevich, D. I. Kravtsov, “On the formulation of boundary-value problems for binomial functional equations”, CMFD, 70:3 (2024),  343–355  mathnet
2022
2. A. B. Antonevich, A. V. Kochergin, A. A. Shukur, “Behaviour of Birkhoff sums generated by rotations of the circle”, Mat. Sb., 213:7 (2022),  3–38  mathnet  mathscinet; Sb. Math., 213:7 (2022), 891–924  isi  scopus 4
2021
3. A. B. Antonevich, “Right-sided invertibility of binomial functional operators and graded dichotomy”, CMFD, 67:2 (2021),  208–236  mathnet
4. A. B. Antonevich, E. V. Kuzmina, “Classical, analytical, formal and generalized solutions of a first-order differential equation with a meromorphic coefficient”, Tr. Inst. Mat., 29:1-2 (2021),  17–40  mathnet
2020
5. A. B. Antonevich, E. U. Leonova, “The Extended Legendre Transform and Related Variational Principles”, Mat. Zametki, 107:3 (2020),  323–340  mathnet  mathscinet  elib; Math. Notes, 107:3 (2020), 369–382  isi  elib  scopus
2019
6. A. B. Antonevich, C. Dolicanin, “Extensions of nonclosable operators and multiplication of distributions”, Journal of the Belarusian State University. Mathematics and Informatics, 3 (2019),  6–17  mathnet 1
7. A. B. Antonevich, T. G. Shahava, “Multiplication of distributions and algebras of mnemofunctions”, CMFD, 65:3 (2019),  339–389  mathnet
8. A. B. Antonevich, T. G. Shahava, “Rational mnemofunctions on circle”, PFMT, 2019, no. 3(40),  53–62  mathnet
9. A. B. Antonevich, T. G. Shahava, “Solutions of some differential equations in the distributions space”, Taurida Journal of Computer Science Theory and Mathematics, 2019, no. 3,  23–36  mathnet
2018
10. A. B. Antonevich, T. G. Shahava, “The embeddings of distributions into the algebra of mnemofunctions on circle”, PFMT, 2018, no. 4(37),  52–61  mathnet 2
11. A. B. Antonevich, T. G. Shahava, E. V. Shkadinskaia, “Algebra of mnemofunctions on a circle”, PFMT, 2018, no. 3(36),  55–62  mathnet 2
2017
12. A. B. Antonevich, A. N. Buzulutskaya (Glaz), “Almost-Periodic Algebras and Their Automorphisms”, Mat. Zametki, 102:5 (2017),  657–672  mathnet  mathscinet  elib; Math. Notes, 102:5 (2017), 610–622  isi  scopus 1
13. A. B. Antonevich, M. G. Kot, “Normalized form and resonances of matrix-valued functions of two variables”, PFMT, 2017, no. 4(33),  33–39  mathnet
2016
14. A. B. Antonevich, E. V. Panteleeva, “Well-Posed Boundary-Value Problems, Right Hyperbolicity, and Exponential Dichotomy”, Mat. Zametki, 100:1 (2016),  13–29  mathnet  mathscinet  elib; Math. Notes, 100:1 (2016), 11–23  isi  scopus 2
15. A. B. Antonevich, E. Y. Leonova, “On extension of the Legendre transform on $C(X)$ and its applications”, Tr. Inst. Mat., 24:2 (2016),  3–13  mathnet 1
2015
16. A. B. Antonevich, Ali A. Shukur, “Estimation of resolvents for discrete weighted shift operators”, PFMT, 2015, no. 1(22),  48–52  mathnet
17. A. B. Antonevich, A. A. Ahmatova, Ju. Makowska, “Maps with separable dynamics and the spectral properties of the operators generated by them”, Mat. Sb., 206:3 (2015),  3–34  mathnet  mathscinet  zmath  elib; Sb. Math., 206:3 (2015), 341–369  isi  scopus 3
2013
18. A. B. Antonevich, E. V. Pantsialeyeva, “Right-side resolvents of discrete weighted shift operators with matrix weights”, PFMT, 2013, no. 3(16),  45–54  mathnet 2
2012
19. A. B. Antonevich, A. A. Akhmatova, “Spectral properties of discrete weighted shift operators”, Tr. Inst. Mat., 20:1 (2012),  14–21  mathnet 3
2011
20. A. B. Antonevich, V. I. Bakhtin, A. V. Lebedev, “Crossed product of a $C^*$-algebra by an endomorphism, coefficient algebras and transfer operators”, Mat. Sb., 202:9 (2011),  3–34  mathnet  mathscinet  zmath  elib; Sb. Math., 202:9 (2011), 1253–1283  isi  scopus 19
2009
21. A. B. Antonevich, A. A. Ahmatova, “Условия односторонней обратимости модельного оператора, порожденного отображением со сложной динамикой”, Matem. Mod. Kraev. Zadachi, 3 (2009),  43–46  mathnet
2008
22. A. B. Antonevich, Yu. Yakubovska, “Weighted translation operators generated by mappings with saddle points: a model class”, CMFD, 29 (2008),  29–48  mathnet  mathscinet  elib; Journal of Mathematical Sciences, 164:4 (2010), 497–517  scopus 7
23. A. B. Antonevich, I. Yu. Trubnikov, “Linear Extensions Associated with Abstract Functional Operators”, Funktsional. Anal. i Prilozhen., 42:1 (2008),  78–82  mathnet  mathscinet  zmath; Funct. Anal. Appl., 42:1 (2008), 65–68  isi  scopus
2006
24. A. B. Antonevich, “Variational principles for spectral radii of positive functional operators”, CMFD, 15 (2006),  5–18  mathnet  mathscinet; Journal of Mathematical Sciences, 149:4 (2008), 1345–1358
25. A. B. Antonevich, Dang Khanh Hoi, “On the set of periods of periodic solutions of a model quasilinear differential equation”, Differ. Uravn., 42:8 (2006),  1041–1051  mathnet  mathscinet; Differ. Equ., 42:8 (2006), 1102–1112
26. A. B. Antonevich, K. Zajkowski, “Variational principles for the spectral radius”, Mat. Sb., 197:5 (2006),  3–50  mathnet  mathscinet  zmath  elib; Sb. Math., 197:5 (2006), 633–680  isi  scopus 7
27. A. B. Antonevich, C. Dolićanin, S. Rešić, “On the structure of the set of invariant subspaces for a linear mapping”, Tr. Inst. Mat., 14:2 (2006),  11–19  mathnet
2005
28. A. B. Antonevich, “Coherent Local Hyperbolicity of a Linear Extension and the Essential Spectra of a Weighted Shift Operator on a Closed Interval”, Funktsional. Anal. i Prilozhen., 39:1 (2005),  11–26  mathnet  mathscinet  zmath  elib; Funct. Anal. Appl., 39:1 (2005), 9–20  isi  scopus 11
29. A. B. Antonevich, T. A. Romanchuk, “Самосопряженные расширения, связанные с задачей о точечном взаимодействии с двумя частицами”, Matem. Mod. Kraev. Zadachi, 3 (2005),  24–27  mathnet
1997
30. A. B. Antonevich, A. V. Lebedev, “Nonlocal pseudo-differential operators: index and Lefschetz numbers”, Differ. Uravn., 33:6 (1997),  795–799  mathnet  mathscinet; Differ. Equ., 33:6 (1997), 798–802
1994
31. A. B. Antonevich, N. V. Fursenko, “A model elliptic equation with a $\delta$-like coefficient”, Differ. Uravn., 30:8 (1994),  1317–1324  mathnet  mathscinet; Differ. Equ., 30:8 (1994), 1218–1225 1
32. A. B. Antonevich, A. V. Turlo, “Linear differential equations with generalized coefficients from the standpoint of the theory of mnemonic functions”, Differ. Uravn., 30:5 (1994),  758–767  mathnet  mathscinet; Differ. Equ., 30:5 (1994), 696–704
1991
33. A. B. Antonevich, Ya. V. Radyno, “A general method for constructing algebras of generalized functions”, Dokl. Akad. Nauk SSSR, 318:2 (1991),  267–270  mathnet  mathscinet  zmath; Dokl. Math., 43:3 (1991), 680–684 8
1989
34. A. B. Antonevich, I. Khodzhai, “A class of integro-difference equations with oscillating coefficients”, Differ. Uravn., 25:11 (1989),  1997–1999  mathnet  mathscinet  zmath
35. A. B. Antonevich, Dang Khanh Hoi, “Periodic solutions of some inhomogeneous evolution differential equations on Riemannian manifolds”, Differ. Uravn., 25:10 (1989),  1731–1736  mathnet  mathscinet; Differ. Equ., 25:10 (1989), 1211–1215
36. A. B. Antonevich, “Boundary value problems with strong nonlocalness for elliptic equations”, Izv. Akad. Nauk SSSR Ser. Mat., 53:1 (1989),  3–24  mathnet  mathscinet  zmath; Math. USSR-Izv., 34:1 (1990), 1–21 12
37. A. B. Antonevich, “Boundedness conditions and the norm of the operator of internal superposition in the space of vector functions”, Mat. Zametki, 45:1 (1989),  3–9  mathnet  mathscinet  zmath; Math. Notes, 45:1 (1989), 3–7  isi 3
1988
38. A. B. Antonevich, “Symbol of a functional-pseudodifferential operator on a compact manifold”, Funktsional. Anal. i Prilozhen., 22:4 (1988),  70–71  mathnet  mathscinet  zmath; Funct. Anal. Appl., 22:4 (1988), 313–315  isi
1987
39. A. B. Antonevich, M. B. Gankin, “On the homotopic classification of singular integro-functional operators with shift”, Izv. Vyssh. Uchebn. Zaved. Mat., 1987, no. 2,  9–14  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 31:2 (1987), 12–21
1985
40. A. B. Antonevich, “A two-point problem for the equation of a vibrating string and functional equations connected with it”, Differ. Uravn., 21:3 (1985),  426–435  mathnet  mathscinet 1
1984
41. A. B. Antonevich, “On two methods of studying the invertibility of operators in $C^*$-algebras induced by dynamical systems”, Mat. Sb. (N.S.), 124(166):1(5) (1984),  3–23  mathnet  mathscinet  zmath; Math. USSR-Sb., 52:1 (1985), 1–20 15
1983
42. A. B. Antonevich, A. V. Lebedev, “On spectral properties of operators with a shift”, Izv. Akad. Nauk SSSR Ser. Mat., 47:5 (1983),  915–941  mathnet  mathscinet  zmath; Math. USSR-Izv., 23:2 (1984), 201–224 10
1982
43. A. B. Antonevich, “On the spectrum of a weighted shift operator on the space $W_p^l(X)$”, Dokl. Akad. Nauk SSSR, 264:5 (1982),  1033–1035  mathnet  mathscinet  zmath 1
44. A. B. Antonevich, A. V. Lebedev, “On the Noethericity of a functional-partial differential operator that contains a linear transformation of the argument”, Differ. Uravn., 18:6 (1982),  987–996  mathnet  mathscinet  zmath 2
45. A. B. Antonevich, V. B. Ryvkin, “Operators generated by homeomorphisms of a circle conjugate to a rotation”, Mat. Zametki, 31:5 (1982),  773–783  mathnet  mathscinet  zmath; Math. Notes, 31:5 (1982), 391–396  isi 1
1981
46. A. B. Antonevich, “Algebras generated by weighted shift operators, and pseudodifferential operators with a shift”, Dokl. Akad. Nauk SSSR, 256:6 (1981),  1293–1296  mathnet  mathscinet  zmath 3
47. A. B. Antonevich, “Conditions for invertibility of operators with a convex rationally independent system of shifts”, Dokl. Akad. Nauk SSSR, 256:1 (1981),  11–14  mathnet  mathscinet  zmath 2
48. A. B. Antonevich, Serin' Aliu Lo, “Spectrum of weighted shift operators in spaces of differentiable functions”, Funktsional. Anal. i Prilozhen., 15:3 (1981),  82  mathnet  mathscinet  zmath; Funct. Anal. Appl., 15:3 (1981), 220  isi
1979
49. A. B. Antonevich, “Operators with shift generated by the action of a compact Lie group”, Sibirsk. Mat. Zh., 20:3 (1979),  467–478  mathnet  mathscinet  zmath; Siberian Math. J., 20:2 (1979), 329–337  isi 7
1978
50. A. B. Antonevich, “On operators generated by linear extensions of diffeomorphisms”, Dokl. Akad. Nauk SSSR, 243:4 (1978),  825–828  mathnet  mathscinet  zmath 6
1975
51. A. B. Antonevich, “A certain class of pseudodifferential operators with deviating argument on the torus”, Differ. Uravn., 11:9 (1975),  1550–1557  mathnet  mathscinet  zmath 3
1974
52. A. B. Antonevich, V. B. Ryvkin, “The normal solvability of the problem of the periodic solutions of a linear differential equation with deviating argument”, Differ. Uravn., 10:8 (1974),  1347–1353  mathnet  mathscinet  zmath 5
53. A. B. Antonevich, “The traces of a pseudodifferential operator on immersions and its homotopically stable invariants”, Funktsional. Anal. i Prilozhen., 8:1 (1974),  69–70  mathnet  mathscinet  zmath; Funct. Anal. Appl., 8:1 (1974), 60–61
1973
54. A. B. Antonevich, “Elliptic pseudodifferential operators with a finite group of shifts”, Izv. Akad. Nauk SSSR Ser. Mat., 37:3 (1973),  663–675  mathnet  mathscinet  zmath; Math. USSR-Izv., 7:3 (1973), 661–673 16
1972
55. A. B. Antonevich, “The index and the normal solvability of a general elliptic boundary value problem with a finite group of shifts on the boundary”, Differ. Uravn., 8:2 (1972),  309–317  mathnet  mathscinet  zmath 6
1970
56. A. B. Antonevich, “The index of a pseudodifferential operator with a finite group of shifts”, Dokl. Akad. Nauk SSSR, 190:4 (1970),  751–752  mathnet  mathscinet  zmath 4

Presentations in Math-Net.Ru
1. On extension of mappings: from Gelfand transform up to multiplicaton of distributions
A. B. Antonevich
Modern methods, problems and applications of operator theory and harmonic analysis
August 23, 2022 12:20   
2. The Hausdorff dimension of the Besicovitch set and the velocity tending to infinity
A. V. Kochergin, A. B. Antonevich
Mathematical Physics, Dynamical Systems and Infinite-Dimensional Analysis – 2021
July 2, 2021 16:10   
3. Операторы взвешенного сдвига, нечеткая дихотомия
A. B. Antonevich
Dynamical systems and differential equations
October 10, 2016 18:30

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