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Tkachenko, Vadim Aleksandrovich

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Author ID: tkachenko.vadim Recent zbMATH articles by "Tkachenko, Vadim Aleksandrovich"
Published as: Tkachenko, V.; Tkachenko, V. A.; Tkachenko, Vadim; Trachenko, Vadim
External Links: MGP · Math-Net.Ru · Wikidata
Documents Indexed: 80 Publications since 1964, including 2 Books
Reviewing Activity: 63 Reviews

Publications by Year

Citations contained in zbMATH

47 Publications have been cited 253 times in 156 Documents Cited by Year
A Schauder and Riesz basis criterion for non-self-adjoint Schrödinger operators with periodic and antiperiodic boundary conditions. Zbl 1251.34100
Gesztesy, Fritz; Tkachenko, Vadim
28
2012
One-dimensional functional equations. Zbl 1069.39027
Belitskii, G.; Tkachenko, V.
21
2003
A criterion for Hill operators to be spectral operators of scalar type. Zbl 1193.47037
Gesztesy, Fritz; Trachenko, Vadim
19
2009
Discriminants and generic spectra of nonselfadjoint Hill’s operators. Zbl 0815.34018
Tkachenko, V. A.
15
1994
Spectral analysis of the one-dimensional Schrödinger operator with a periodic complex-valued potential. Zbl 0188.46103
Tkachenko, V. A.
12
1964
Spectra of non-selfadjoint Hill’s operators and a class of Riemann surfaces. Zbl 0856.34087
Tkachenko, V.
10
1996
Spectral parametrization of non-selfadjoint Hill’s operators. Zbl 0844.34088
Sansuc, Jean-Jacques; Tkachenko, Vadim
10
1996
Spectral theory of Schrödinger operators with periodic complex-valued potentials. Zbl 0717.34096
Pastur, L. A.; Tkachenko, V. A.
10
1988
Characterization of the periodic and anti-periodic spectra of nonselfadjoint Hill’s operators. Zbl 0884.34090
Sansuc, J.-J.; Tkachenko, V.
9
1997
Spectral properties of non-selfadjoint Hill’s operators with smooth potentials. Zbl 0844.34087
Sansuc, Jean-Jacques; Tkachenko, Vadim
9
1996
Spectral analysis of a nonselfadjoint Hill operator. Zbl 0791.34061
Tkachenko, V. A.
9
1992
On the spectral theory of the one-dimensional Schrödinger operator with a limit-periodic potential. Zbl 0596.34010
Pastur, L. A.; Tkachenko, V. A.
9
1984
Spectral theory of a class of one-dimensional Schrödinger operators with limit-periodic potentials. Zbl 0709.34064
Pastur, L. A.; Tkachenko, V. A.
8
1989
Characterization of Hill operators with analytic potentials. Zbl 0994.34015
Tkachenko, V.
6
2001
Geometry of the spectrum of the one-dimensional Schrödinger equation with a periodic complex-valued potential. Zbl 0781.34054
Pastur, L. A.; Tkachenko, V. A.
6
1991
An inverse problem for a class of one-dimensional Schrödinger operators with a complex periodic potential. Zbl 0739.34022
Pastur, L. A.; Tkachenko, V. A.
6
1990
Über mit der verallgemeinerten Differentiation kommutierende Operatoren in Räumen analytischer Funktionale mit gegebenem Wachstumsindikator. Zbl 0357.47029
Tkachenko, V. A.
6
1977
Eigenfunction expansions associated with one-dimensional periodic differential operators of order \(2n\). Zbl 1124.34059
Tkachenko, V.
5
2007
When is a non-self-adjoint Hill operator a spectral operator of scalar type? Zbl 1108.34064
Gesztesy, Fritz; Tkachenko, Vadim
4
2006
Non-selfadjoint Sturm-Liouville operators with multiple spectra. Zbl 1036.34010
Tkachenko, Vadim
4
2002
Trace maps. Zbl 1229.82095
Avishai, Yshai; Berend, Daniel; Tkachenko, Vadim
4
1997
An inverse problem for a class of one-dimensional Schrödinger operators with complex periodic potential. Zbl 0718.34015
Pastur, L. A.; Tkachenko, V. A.
4
1990
Operators that commute with generalized integration in spaces of analytic functionals. Zbl 0418.47018
Tkachenko, V. A.
4
1979
Spectral theory in spaces of analytic functionals for operators generated by multiplication by the independent variable. Zbl 0469.47026
Tkachenko, V. A.
3
1981
Spectrum of 1-d selfadjoint periodic differential operator of order 4. Zbl 1056.34088
Tkachenko, V.
2
2003
Nonselfadjoint periodic Dirac operators. Zbl 0996.34070
Tkachenko, Vadim
2
2001
Functional equations in real-analytic functions. Zbl 0967.39009
Belitskii, G.; Tkachenko, V.
2
2000
Non-selfadjoint periodic Dirac operators with finite-band spectra. Zbl 0956.34075
Tkachenko, V.
2
2000
Equations of convolution type in spaces of analytic functionals. Zbl 0378.45004
Tkachenko, V. A.
2
1977
Invariante Unterräume und die Einzelligkeit von Operatoren der verallgemeinerten Integration in Räumen analytischer Funktionale. Zbl 0372.46039
Tkachenko, V. A.
2
1977
On spectral synthesis in spaces of analytic functionals. Zbl 0327.46034
Tkachenko, V. A.
2
1975
On operators of convolution type in spaces of analytic functionals. Zbl 0325.47034
Tkachenko, V. A.
2
1974
Theory and certain applications of the local Laplace transform. Zbl 0165.14001
Lyubich, Yu. I.; Tkachenko, V. A.
2
1966
Expansions associated with 1d periodic differential operators of order 4. Zbl 1112.34068
Tkachenko, Vadim
1
2006
On solvability of linear difference equations in smooth and real analytic vector functions of several variables. Zbl 0803.39002
Belitskii, Genrich; Tkachenko, Vadim
1
1994
Completeness of a system of functions on sets in the complex plane. Zbl 0769.30026
Lyubarskij, Yu. I.; Tkachenko, V. A.
1
1992
On the spectral theory of Schrödinger operators with periodic complex- valued potentials. Zbl 0658.34016
Pastur, L. A.; Tkachenko, V. A.
1
1988
System \(\{e^{\alpha nz}\,\sin \,nz\}_ 1^{\infty}\). Zbl 0601.42031
Lyubarskij, Yu. I.; Tkachenko, V. A.
1
1984
Spektraltheorie in Räumen analytischer Funktionale für Operatoren, die vermittels Multiplikation in einer unabhängigen Veränderlichen erzeugt werden. Zbl 0448.47013
Tkachenko, V. A.
1
1980
Spectral decompositions in spaces of analytic functionals. Zbl 0436.47023
Tkachenko, V. A.
1
1980
Über den Transformationsoperator in Räumen ganzer Funktionen. Zbl 0405.30037
Tkachenko, V. A.
1
1979
Über mit der verallgemeinerten Integration in Räumen analytischer Funktionale kommutierende Operatoren. Zbl 0401.47016
Tkachenko, V. A.
1
1979
Invariant subspaces and unicellularity of operators of generalized integration in spaces of analytic functionals. Zbl 0422.46036
Tkachenko, V. A.
1
1978
On operators commuting with generalized differentiation in spaces of analytic functionals with given indicator of growth. Zbl 0388.47021
Tkachenko, V. A.
1
1977
Gleichungen vom Faltungstyp in Räumen analytischer Funktionale. Zbl 0356.45006
Tkachenko, V. A.
1
1977
Quasi-analyticity criterion for abstract operators. Zbl 0202.13503
Lyubich, Yu. I.; Tkachenko, V. A.
1
1970
Zur Theorie von Floquet für Gleichungen mit retardiertem Argument. Zbl 0169.11702
Lyubich, Yu. I.; Tkachenko, V. A.
1
1969
A Schauder and Riesz basis criterion for non-self-adjoint Schrödinger operators with periodic and antiperiodic boundary conditions. Zbl 1251.34100
Gesztesy, Fritz; Tkachenko, Vadim
28
2012
A criterion for Hill operators to be spectral operators of scalar type. Zbl 1193.47037
Gesztesy, Fritz; Trachenko, Vadim
19
2009
Eigenfunction expansions associated with one-dimensional periodic differential operators of order \(2n\). Zbl 1124.34059
Tkachenko, V.
5
2007
When is a non-self-adjoint Hill operator a spectral operator of scalar type? Zbl 1108.34064
Gesztesy, Fritz; Tkachenko, Vadim
4
2006
Expansions associated with 1d periodic differential operators of order 4. Zbl 1112.34068
Tkachenko, Vadim
1
2006
One-dimensional functional equations. Zbl 1069.39027
Belitskii, G.; Tkachenko, V.
21
2003
Spectrum of 1-d selfadjoint periodic differential operator of order 4. Zbl 1056.34088
Tkachenko, V.
2
2003
Non-selfadjoint Sturm-Liouville operators with multiple spectra. Zbl 1036.34010
Tkachenko, Vadim
4
2002
Characterization of Hill operators with analytic potentials. Zbl 0994.34015
Tkachenko, V.
6
2001
Nonselfadjoint periodic Dirac operators. Zbl 0996.34070
Tkachenko, Vadim
2
2001
Functional equations in real-analytic functions. Zbl 0967.39009
Belitskii, G.; Tkachenko, V.
2
2000
Non-selfadjoint periodic Dirac operators with finite-band spectra. Zbl 0956.34075
Tkachenko, V.
2
2000
Characterization of the periodic and anti-periodic spectra of nonselfadjoint Hill’s operators. Zbl 0884.34090
Sansuc, J.-J.; Tkachenko, V.
9
1997
Trace maps. Zbl 1229.82095
Avishai, Yshai; Berend, Daniel; Tkachenko, Vadim
4
1997
Spectra of non-selfadjoint Hill’s operators and a class of Riemann surfaces. Zbl 0856.34087
Tkachenko, V.
10
1996
Spectral parametrization of non-selfadjoint Hill’s operators. Zbl 0844.34088
Sansuc, Jean-Jacques; Tkachenko, Vadim
10
1996
Spectral properties of non-selfadjoint Hill’s operators with smooth potentials. Zbl 0844.34087
Sansuc, Jean-Jacques; Tkachenko, Vadim
9
1996
Discriminants and generic spectra of nonselfadjoint Hill’s operators. Zbl 0815.34018
Tkachenko, V. A.
15
1994
On solvability of linear difference equations in smooth and real analytic vector functions of several variables. Zbl 0803.39002
Belitskii, Genrich; Tkachenko, Vadim
1
1994
Spectral analysis of a nonselfadjoint Hill operator. Zbl 0791.34061
Tkachenko, V. A.
9
1992
Completeness of a system of functions on sets in the complex plane. Zbl 0769.30026
Lyubarskij, Yu. I.; Tkachenko, V. A.
1
1992
Geometry of the spectrum of the one-dimensional Schrödinger equation with a periodic complex-valued potential. Zbl 0781.34054
Pastur, L. A.; Tkachenko, V. A.
6
1991
An inverse problem for a class of one-dimensional Schrödinger operators with a complex periodic potential. Zbl 0739.34022
Pastur, L. A.; Tkachenko, V. A.
6
1990
An inverse problem for a class of one-dimensional Schrödinger operators with complex periodic potential. Zbl 0718.34015
Pastur, L. A.; Tkachenko, V. A.
4
1990
Spectral theory of a class of one-dimensional Schrödinger operators with limit-periodic potentials. Zbl 0709.34064
Pastur, L. A.; Tkachenko, V. A.
8
1989
Spectral theory of Schrödinger operators with periodic complex-valued potentials. Zbl 0717.34096
Pastur, L. A.; Tkachenko, V. A.
10
1988
On the spectral theory of Schrödinger operators with periodic complex- valued potentials. Zbl 0658.34016
Pastur, L. A.; Tkachenko, V. A.
1
1988
On the spectral theory of the one-dimensional Schrödinger operator with a limit-periodic potential. Zbl 0596.34010
Pastur, L. A.; Tkachenko, V. A.
9
1984
System \(\{e^{\alpha nz}\,\sin \,nz\}_ 1^{\infty}\). Zbl 0601.42031
Lyubarskij, Yu. I.; Tkachenko, V. A.
1
1984
Spectral theory in spaces of analytic functionals for operators generated by multiplication by the independent variable. Zbl 0469.47026
Tkachenko, V. A.
3
1981
Spektraltheorie in Räumen analytischer Funktionale für Operatoren, die vermittels Multiplikation in einer unabhängigen Veränderlichen erzeugt werden. Zbl 0448.47013
Tkachenko, V. A.
1
1980
Spectral decompositions in spaces of analytic functionals. Zbl 0436.47023
Tkachenko, V. A.
1
1980
Operators that commute with generalized integration in spaces of analytic functionals. Zbl 0418.47018
Tkachenko, V. A.
4
1979
Über den Transformationsoperator in Räumen ganzer Funktionen. Zbl 0405.30037
Tkachenko, V. A.
1
1979
Über mit der verallgemeinerten Integration in Räumen analytischer Funktionale kommutierende Operatoren. Zbl 0401.47016
Tkachenko, V. A.
1
1979
Invariant subspaces and unicellularity of operators of generalized integration in spaces of analytic functionals. Zbl 0422.46036
Tkachenko, V. A.
1
1978
Über mit der verallgemeinerten Differentiation kommutierende Operatoren in Räumen analytischer Funktionale mit gegebenem Wachstumsindikator. Zbl 0357.47029
Tkachenko, V. A.
6
1977
Equations of convolution type in spaces of analytic functionals. Zbl 0378.45004
Tkachenko, V. A.
2
1977
Invariante Unterräume und die Einzelligkeit von Operatoren der verallgemeinerten Integration in Räumen analytischer Funktionale. Zbl 0372.46039
Tkachenko, V. A.
2
1977
On operators commuting with generalized differentiation in spaces of analytic functionals with given indicator of growth. Zbl 0388.47021
Tkachenko, V. A.
1
1977
Gleichungen vom Faltungstyp in Räumen analytischer Funktionale. Zbl 0356.45006
Tkachenko, V. A.
1
1977
On spectral synthesis in spaces of analytic functionals. Zbl 0327.46034
Tkachenko, V. A.
2
1975
On operators of convolution type in spaces of analytic functionals. Zbl 0325.47034
Tkachenko, V. A.
2
1974
Quasi-analyticity criterion for abstract operators. Zbl 0202.13503
Lyubich, Yu. I.; Tkachenko, V. A.
1
1970
Zur Theorie von Floquet für Gleichungen mit retardiertem Argument. Zbl 0169.11702
Lyubich, Yu. I.; Tkachenko, V. A.
1
1969
Theory and certain applications of the local Laplace transform. Zbl 0165.14001
Lyubich, Yu. I.; Tkachenko, V. A.
2
1966
Spectral analysis of the one-dimensional Schrödinger operator with a periodic complex-valued potential. Zbl 0188.46103
Tkachenko, V. A.
12
1964
all top 5

Cited by 147 Authors

11 Djakov, Plamen B.
11 Mityagin, Boris Samuilovich
11 Veliev, Oktay Alish
9 Tkachenko, Vadim Aleksandrovich
8 Gesztesy, Fritz
6 Malamud, Mark M.
5 Kerimov, Nazim B.
5 Lunyov, Anton A.
5 Zhang, Xiang
4 Kaya, Ufuk
4 Korotyaev, Evgeny L.
4 Melikhov, Sergeĭ Nikolaevich
3 Bel’mesova, S. S.
3 Damanik, David
3 Ivanova, Ol’ga Aleksandrovna
3 Kappeler, Thomas
3 Karpeshina, Yulia E.
3 Lee, Young-Ran
3 Makin, Alex S.
3 Napalkov, Valentin Vasil’evich
3 Polyakov, Dmitriĭ Mikhaĭlovich
3 Yurko, Vjacheslav Anatoljevich
2 Badanin, A. V.
2 Bonet Solves, José
2 Cabri, Olgun
2 Domański, Pawel Jan
2 Efendiev, Rakib F.
2 Efremova, Lyudmila S.
2 Epifanov, O. V.
2 Fillman, Jake
2 Goldstein, Michael
2 Linchuk, Stepan S.
2 Makin, Alexander S.
2 Mamedov, Khanlar R.
2 Mullabaeva, A. U.
2 Nagnybida, Mykola Ivanovych
2 Oridoroga, Leonid L.
2 Orujov, Ashraf D.
2 Pöschel, Jürgen
2 Topalov, Peter J.
2 Weikard, Rudi
2 Yang, Chuanfu
2 Yuditskii, Peter Meerovich
2 Zdun, Marek Cezary
1 Abanin, Aleksandr Vasil’evich
1 Adduci, James
1 Agibalova, Anna V.
1 Akhtyamov, N. T.
1 Anahtarci, Berkay
1 Arslan, İlker
1 Badanin, Andrey
1 Baranov, Anton D.
1 Baskakov, Anatoliĭ Grigor’evich
1 Batal, Ahmet
1 Batchenko, Volodymyr
1 Belitskii, Genrich R.
1 Bilalov, Bilal T.
1 Braeutigam, Irina N.
1 Buterin, Sergey Alexandrovich
1 Carlson, Robert C.
1 Chernyavskij, A. G.
1 Curtright, Thomas L.
1 Duman, M. Toppamuk
1 Egorova, I. E.
1 Èĭdelman, Yu. S.
1 El-Raheem, Zaki F. A.
1 Enciso, Alberto
1 Eremenko, Alexandre Émmanuilovich
1 Freiling, Gerhard
1 Gan, Zheng
1 Głazowska, Dorota
1 Grinevich, Pëtr Georgievich
1 Gunes, Hikmet
1 Haese-Hill, William A.
1 Hallnäs, Martin A.
1 Ishimura, Ryuichi
1 Izumi, Hideaki
1 Jarczyk, Justyna
1 Jarczyk, Witold
1 Kargaev, Pavel Petrovich
1 Khanina, L. V.
1 Kiraç, Alp Arslan
1 Kotani, Shigenori
1 Kotani, Shinichi
1 Kouznetsov, Dmitrii
1 Krassowska, Dorota
1 Krejčiřík, David
1 Krishna, M. V. G.
1 Kulesko, N. A.
1 Kuznetsova, Mariya Andreevna
1 Levin, Boris Yakovlevich
1 Li, Lin
1 Linchuk, Nadiya E.
1 Liu, Liu
1 Lohrmann, Philipp
1 Lukic, Milivoje
1 Luque, Alejandro
1 Maergoiz, Lev Sergeevich
1 Maergojz, L. S.
1 Manafov, Manaf Dzh.
...and 47 more Authors
all top 5

Cited in 66 Serials

12 Mathematical Notes
10 Journal of Mathematical Analysis and Applications
9 Journal of Differential Equations
8 Journal of Functional Analysis
6 Communications in Mathematical Physics
6 Integral Equations and Operator Theory
5 Siberian Mathematical Journal
5 Differential Equations
5 Boundary Value Problems
4 Journal d’Analyse Mathématique
4 Doklady Mathematics
4 Complex Analysis and Operator Theory
3 Proceedings of the American Mathematical Society
3 Aequationes Mathematicae
3 St. Petersburg Mathematical Journal
3 Communications on Pure and Applied Analysis
3 Central European Journal of Mathematics
3 Analysis and Mathematical Physics
2 Applicable Analysis
2 Journal of Mathematical Physics
2 Ukrainian Mathematical Journal
2 Journal of Soviet Mathematics
2 Mathematische Annalen
2 Russian Mathematics
2 Lobachevskii Journal of Mathematics
2 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
2 Journal of Nonlinear Science and Applications
1 Mathematical Methods in the Applied Sciences
1 Russian Mathematical Surveys
1 Theoretical and Mathematical Physics
1 Mathematics of Computation
1 Reviews in Mathematical Physics
1 Chaos, Solitons and Fractals
1 Acta Mathematica
1 Advances in Mathematics
1 Bulletin de la Société Mathématique de France
1 Functional Analysis and its Applications
1 International Journal of Mathematics and Mathematical Sciences
1 Inventiones Mathematicae
1 Journal of Algebra
1 Mathematische Nachrichten
1 Results in Mathematics
1 Transactions of the Moscow Mathematical Society
1 Advances in Applied Mathematics
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Journal of Symbolic Computation
1 Journal of the American Mathematical Society
1 The Journal of Geometric Analysis
1 Bulletin of the American Mathematical Society. New Series
1 Journal of Dynamics and Differential Equations
1 Journal of Mathematical Sciences (New York)
1 Turkish Journal of Mathematics
1 Journal of Inverse and Ill-Posed Problems
1 Journal of Difference Equations and Applications
1 Electronic Research Announcements of the American Mathematical Society
1 Sbornik: Mathematics
1 Abstract and Applied Analysis
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Bulletin of the Brazilian Mathematical Society. New Series
1 Vladikavkazskiĭ Matematicheskiĭ Zhurnal
1 Journal of Function Spaces and Applications
1 International Journal of Geometric Methods in Modern Physics
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Proceedings of the Steklov Institute of Mathematics
1 Arabian Journal of Mathematics
1 Vestnik Samarskogo Universiteta. Estestvennonauchnaya Seriya

Citations by Year

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