×
Author ID: kuzhel.sergei Recent zbMATH articles by "Kuzhel, Sergei"
Published as: Kuzhel, S.; Kuzhel’, S. A.; Kuzhel, Sergii; Kuzhel, S. A.; Kużel, Sergiusz; Kuzhel’, S. O.; Kuzhel, Sergei; Kuzhil’, S. A.; Kużel, S.; Kuzhel’, S.
Homepage: https://skos.agh.edu.pl/osoba/sergiusz-kuzel-6938.html
External Links: MGP · ORCID
Documents Indexed: 74 Publications since 1985, including 1 Book
1 Further Contribution
Co-Authors: 26 Co-Authors with 44 Joint Publications
691 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

45 Publications have been cited 192 times in 103 Documents Cited by Year
PT symmetry. In quantum and classical physics. With contributions from Patrick E. Dorey, Clare Dunning, Andreas Fring, Daniel W. Hook, Hugh F. Jones, Sergii Kuzhel, Géza Lévai and Roberto Tateo. Zbl 1423.81001
Bender, Carl M.
17
2019
Regular extensions of Hermitian operators. Zbl 0930.47003
Kuzhel, A. V.; Kuzhel, S. A.
15
1998
One-dimensional Schrödinger operators with \({\mathcal P}\)-symmetric zero-range potentials. Zbl 1070.81048
Albeverio, S.; Kuzhel, S.
14
2005
On symmetries in the theory of finite rank singular perturbations. Zbl 1193.47021
Hassi, Seppo; Kuzhel, Sergii
12
2009
\(J\)-self-adjoint operators with \(\mathcal{C} \)-symmetries: An extension theory approach. Zbl 1162.47060
Albeverio, S.; Günther, U.; Kuzhel, S.
10
2009
Pseudo-Hermiticity and theory of singular perturbations. Zbl 1067.47017
Albeverio, S.; Kuzhel, S.
9
2004
On a class of \(J\)-self-adjoint operators with empty resolvent set. Zbl 1220.47053
Kuzhel, Sergii; Trunk, Carsten
8
2011
On \(J\)-self-adjoint operators with stable \(C\)-symmetries. Zbl 1400.47003
Hassi, Seppo; Kuzhel, Sergii
7
2013
On \(J\)-self-adjoint extensions of the Phillips symmetric operator. Zbl 1222.47030
Kuzhel, S.; Shapovalova, O.; Vavrykovych, L.
7
2010
\(p\)-adic Schrödinger-type operator with point interactions. Zbl 1136.81021
Albeverio, S.; Kuzhel, S.; Torba, S.
7
2008
\(\mathcal {PI}\)-symmetry, Cartan decompositions, Lie triple systems and Krein space-related Clifford algebras. Zbl 1213.47043
Günther, Uwe; Kuzhel, Sergii
7
2010
Unbounded \(\mathcal C\)-symmetries and their nonuniqueness. Zbl 1263.81185
Bender, Carl M.; Kuzhel, Sergii
6
2012
\({\mathcal{PT}}\)-symmetric operators in quantum mechanics: Krein spaces methods. Zbl 1354.81017
Albeverio, Sergio; Kuzhel, Sergii
6
2015
Non-self-adjoint Schrödinger operators with nonlocal one-point interactions. Zbl 1489.47065
Kuzhel, Sergii; Znojil, Miloslav
6
2017
Singularly perturbed self-adjoint operators in scales of Hilbert spaces. Zbl 1150.47013
Albeverio, S.; Kuzhel, S.; Nizhnik, L.
5
2007
Finite rank self-adjoint perturbations. Zbl 1125.47014
Kuzhel, S.; Nizhnik, L.
5
2006
\(p\)-adic fractional differentiation operators with point interactions. Zbl 1144.47331
Kuzhel, S.; Torba, S.
4
2007
On the perturbation theory of self-adjoint operators. Zbl 1182.47013
Albeverio, Sergio; Kuzhel, Sergei; Nizhnik, Leonid P.
4
2008
Towards generalized Riesz systems theory. Zbl 1442.47017
Kamuda, Alan; Kużel, Sergiusz
4
2020
Towards theory of \(\mathcal C\)-symmetries. Zbl 1373.47041
Kuzhel, S.; Sudilovskaya, V.
4
2017
On the \(S\)-matrix of Schrödinger operators with non-symmetric zero-range potentials. Zbl 1294.47015
Cojuhari, P. A.; Grod, A.; Kuzhel, S.
4
2014
Generalized Riesz systems and orthonormal sequences in Krein spaces. Zbl 1514.42034
Bagarello, Fabio; Kużel, Sergiusz
4
2020
On conditions for the applicability of the Lax-Phillips scattering scheme to the investigation of an abstract wave equation. Zbl 1100.47521
Kuzhel’, S. A.
3
2003
On the determination of free evolution in the Lax-Phillips scattering scheme for second-order operator-differential equations. Zbl 1011.47010
Kuzhel’, S. A.
3
2000
On the inverse problem in the Lax-Phillips scattering theory method for a class of operator-differential equations. Zbl 0992.35060
Kuzhel’, S. A.
3
2002
On elements of the Lax-Phillips scattering scheme for \(\mathcal{PT}\)-symmetric operators. Zbl 1272.81049
Albeverio, S.; Kuzhel, S.
3
2012
Phillips symmetric operators and their extensions. Zbl 06946300
Kuzhel, Sergii; Nizhnik, Leonid
3
2018
On operators of transition in Krein spaces. Zbl 1248.47038
Grod, A.; Kuzhel, S.; Sudilovskaya, V.
3
2011
Schrödinger operators with non-symmetric zero-range potentials. Zbl 1313.81011
Grod, A.; Kuzhel, S.
3
2014
On the Lax-Phillips scattering matrix of the abstract wave equation. Zbl 1482.47020
Gawlik, M.; Główczyk, A.; Kuzhel, S.
2
2019
On dual definite subspaces in Krein space. Zbl 1481.46017
Kamuda, A.; Kuzhel, S.; Sudilovskaya, V.
2
2019
Lax-Phillips scattering theory for \(\mathcal{PT}\)-symmetric {\(\rho\)}-perturbed operators. Zbl 1276.81117
Cojuhari, Petru A.; Kuzhel, Sergii
2
2012
On self-adjoint operators in Krein spaces constructed by Clifford algebra \(\mathcal Cl_{2}\). Zbl 1277.47051
Kuzhel, Sergii; Patsyuck, Olexiy
2
2012
On pseudo-Hermitian operators with generalized \(\mathcal C\)-symmetries. Zbl 1194.47018
Kuzhel, S.
2
2009
Nonlocal perturbations of the radial wave equation. Lax-Phillips approach. Zbl 1006.47013
Kuzhel, S. A.
2
2002
The Lax–Phillips scattering approach and singular perturbation of Schrödinger operator homogeneous with respect to scaling transformations. Zbl 1101.47007
Kuzhel, Sergei; Moskalyova, Uliya
2
2005
Condition of uniform correctness of the Cauchy problem in the case of spaces with indefinite metric. Zbl 0704.34071
Kuzhel’, S. A.
2
1990
On description of dual frames. Zbl 1489.46018
Kamuda, Alan; Kużel, Sergiusz
2
2022
Hamiltonians generated by Parseval frames. Zbl 1460.81023
Bagarello, F.; Kużel, S.
2
2021
On \(J\)-frames related to maximal definite subspaces. Zbl 1477.46025
Kamuda, Alan; Kuzhel, Sergii
1
2019
On the theory of \(\mathcal{PT}\)-symmetric operators. Zbl 1275.47085
Kuzhel’, S. O.; Patsyuk, O. M.
1
2012
About dependence of the Lax-Phillips scattering matrix on the choice of the incoming and outgoing subspaces. Zbl 0980.47009
Kuzhel, S. A.
1
2001
On an application of the Lax–Phillips scattering approach in the theory of singular perturbations. Zbl 1094.47019
Kuzhel’, S. O.; Matsyuk, L. V.
1
2005
About Lax-Phillips scattering theory in Pontryagin spaces. Zbl 0806.47008
Kuzhel, S. A.
1
1993
On the \(S\)-matrix of Schrödinger operator with nonlocal \(\delta\)-interaction. Zbl 07376800
Główczyk, Anna; Kużel, Sergiusz
1
2021
On description of dual frames. Zbl 1489.46018
Kamuda, Alan; Kużel, Sergiusz
2
2022
Hamiltonians generated by Parseval frames. Zbl 1460.81023
Bagarello, F.; Kużel, S.
2
2021
On the \(S\)-matrix of Schrödinger operator with nonlocal \(\delta\)-interaction. Zbl 07376800
Główczyk, Anna; Kużel, Sergiusz
1
2021
Towards generalized Riesz systems theory. Zbl 1442.47017
Kamuda, Alan; Kużel, Sergiusz
4
2020
Generalized Riesz systems and orthonormal sequences in Krein spaces. Zbl 1514.42034
Bagarello, Fabio; Kużel, Sergiusz
4
2020
PT symmetry. In quantum and classical physics. With contributions from Patrick E. Dorey, Clare Dunning, Andreas Fring, Daniel W. Hook, Hugh F. Jones, Sergii Kuzhel, Géza Lévai and Roberto Tateo. Zbl 1423.81001
Bender, Carl M.
17
2019
On the Lax-Phillips scattering matrix of the abstract wave equation. Zbl 1482.47020
Gawlik, M.; Główczyk, A.; Kuzhel, S.
2
2019
On dual definite subspaces in Krein space. Zbl 1481.46017
Kamuda, A.; Kuzhel, S.; Sudilovskaya, V.
2
2019
On \(J\)-frames related to maximal definite subspaces. Zbl 1477.46025
Kamuda, Alan; Kuzhel, Sergii
1
2019
Phillips symmetric operators and their extensions. Zbl 06946300
Kuzhel, Sergii; Nizhnik, Leonid
3
2018
Non-self-adjoint Schrödinger operators with nonlocal one-point interactions. Zbl 1489.47065
Kuzhel, Sergii; Znojil, Miloslav
6
2017
Towards theory of \(\mathcal C\)-symmetries. Zbl 1373.47041
Kuzhel, S.; Sudilovskaya, V.
4
2017
\({\mathcal{PT}}\)-symmetric operators in quantum mechanics: Krein spaces methods. Zbl 1354.81017
Albeverio, Sergio; Kuzhel, Sergii
6
2015
On the \(S\)-matrix of Schrödinger operators with non-symmetric zero-range potentials. Zbl 1294.47015
Cojuhari, P. A.; Grod, A.; Kuzhel, S.
4
2014
Schrödinger operators with non-symmetric zero-range potentials. Zbl 1313.81011
Grod, A.; Kuzhel, S.
3
2014
On \(J\)-self-adjoint operators with stable \(C\)-symmetries. Zbl 1400.47003
Hassi, Seppo; Kuzhel, Sergii
7
2013
Unbounded \(\mathcal C\)-symmetries and their nonuniqueness. Zbl 1263.81185
Bender, Carl M.; Kuzhel, Sergii
6
2012
On elements of the Lax-Phillips scattering scheme for \(\mathcal{PT}\)-symmetric operators. Zbl 1272.81049
Albeverio, S.; Kuzhel, S.
3
2012
Lax-Phillips scattering theory for \(\mathcal{PT}\)-symmetric {\(\rho\)}-perturbed operators. Zbl 1276.81117
Cojuhari, Petru A.; Kuzhel, Sergii
2
2012
On self-adjoint operators in Krein spaces constructed by Clifford algebra \(\mathcal Cl_{2}\). Zbl 1277.47051
Kuzhel, Sergii; Patsyuck, Olexiy
2
2012
On the theory of \(\mathcal{PT}\)-symmetric operators. Zbl 1275.47085
Kuzhel’, S. O.; Patsyuk, O. M.
1
2012
On a class of \(J\)-self-adjoint operators with empty resolvent set. Zbl 1220.47053
Kuzhel, Sergii; Trunk, Carsten
8
2011
On operators of transition in Krein spaces. Zbl 1248.47038
Grod, A.; Kuzhel, S.; Sudilovskaya, V.
3
2011
On \(J\)-self-adjoint extensions of the Phillips symmetric operator. Zbl 1222.47030
Kuzhel, S.; Shapovalova, O.; Vavrykovych, L.
7
2010
\(\mathcal {PI}\)-symmetry, Cartan decompositions, Lie triple systems and Krein space-related Clifford algebras. Zbl 1213.47043
Günther, Uwe; Kuzhel, Sergii
7
2010
On symmetries in the theory of finite rank singular perturbations. Zbl 1193.47021
Hassi, Seppo; Kuzhel, Sergii
12
2009
\(J\)-self-adjoint operators with \(\mathcal{C} \)-symmetries: An extension theory approach. Zbl 1162.47060
Albeverio, S.; Günther, U.; Kuzhel, S.
10
2009
On pseudo-Hermitian operators with generalized \(\mathcal C\)-symmetries. Zbl 1194.47018
Kuzhel, S.
2
2009
\(p\)-adic Schrödinger-type operator with point interactions. Zbl 1136.81021
Albeverio, S.; Kuzhel, S.; Torba, S.
7
2008
On the perturbation theory of self-adjoint operators. Zbl 1182.47013
Albeverio, Sergio; Kuzhel, Sergei; Nizhnik, Leonid P.
4
2008
Singularly perturbed self-adjoint operators in scales of Hilbert spaces. Zbl 1150.47013
Albeverio, S.; Kuzhel, S.; Nizhnik, L.
5
2007
\(p\)-adic fractional differentiation operators with point interactions. Zbl 1144.47331
Kuzhel, S.; Torba, S.
4
2007
Finite rank self-adjoint perturbations. Zbl 1125.47014
Kuzhel, S.; Nizhnik, L.
5
2006
One-dimensional Schrödinger operators with \({\mathcal P}\)-symmetric zero-range potentials. Zbl 1070.81048
Albeverio, S.; Kuzhel, S.
14
2005
The Lax–Phillips scattering approach and singular perturbation of Schrödinger operator homogeneous with respect to scaling transformations. Zbl 1101.47007
Kuzhel, Sergei; Moskalyova, Uliya
2
2005
On an application of the Lax–Phillips scattering approach in the theory of singular perturbations. Zbl 1094.47019
Kuzhel’, S. O.; Matsyuk, L. V.
1
2005
Pseudo-Hermiticity and theory of singular perturbations. Zbl 1067.47017
Albeverio, S.; Kuzhel, S.
9
2004
On conditions for the applicability of the Lax-Phillips scattering scheme to the investigation of an abstract wave equation. Zbl 1100.47521
Kuzhel’, S. A.
3
2003
On the inverse problem in the Lax-Phillips scattering theory method for a class of operator-differential equations. Zbl 0992.35060
Kuzhel’, S. A.
3
2002
Nonlocal perturbations of the radial wave equation. Lax-Phillips approach. Zbl 1006.47013
Kuzhel, S. A.
2
2002
About dependence of the Lax-Phillips scattering matrix on the choice of the incoming and outgoing subspaces. Zbl 0980.47009
Kuzhel, S. A.
1
2001
On the determination of free evolution in the Lax-Phillips scattering scheme for second-order operator-differential equations. Zbl 1011.47010
Kuzhel’, S. A.
3
2000
Regular extensions of Hermitian operators. Zbl 0930.47003
Kuzhel, A. V.; Kuzhel, S. A.
15
1998
About Lax-Phillips scattering theory in Pontryagin spaces. Zbl 0806.47008
Kuzhel, S. A.
1
1993
Condition of uniform correctness of the Cauchy problem in the case of spaces with indefinite metric. Zbl 0704.34071
Kuzhel’, S. A.
2
1990
all top 5

Cited by 138 Authors

18 Kuzhel, Sergei
6 Bagarello, Fabio
4 Kamuda, Alan
4 Krejčiřík, David
4 Nizhnik, Leonid Pavlovich
4 Trunk, Carsten
4 Znojil, Miloslav
3 Albeverio, Sergio A.
3 Corso, Rosario
3 Gesztesy, Fritz
3 Khrennikov, Andreĭ Yur’evich
3 Kozyrev, Sergeĭ Vladimirovich
3 Mitrea, Marius
3 Mostafazadeh, Ali
3 Siegl, Petr
3 Trapani, Camillo
2 Antoine, Jean-Pierre
2 Ashbaugh, Mark S.
2 Baranetskyĭ, Yaroslav Omelyanovich
2 Behrndt, Jussi
2 Ćurgus, Branko
2 Derkach, Volodymyr Oleksandrovych
2 Dobosevych, Oles
2 Dragovich, Branko
2 Gitman, Dmitri M.
2 Główczyk, Anna
2 Golovatyj, Yuriy Danilovich
2 Hassi, Seppo
2 Hryniv, Rostyslav O.
2 Hussein, Amru
2 Inoue, Hiroshi
2 Juršėnas, Rytis
2 Kalenyuk, Petro I.
2 Kolyasa, Lubov I.
2 Lonigro, Davide
2 Lotoreichik, Vladimir
2 Malamud, Mark M.
2 Martínez Pería, Francisco D.
2 Molchanov, Stanislav Alekseevich
2 Sun, Huaqing
2 Teschl, Gerald
2 Tyutin, Igor Viktorovich
2 Volovich, Igor’ Vasil’evich
2 Voronov, Boris L.
2 Wu, Bo
1 Arlins’kyĭ, Yuriĭ Moĭseĭovych
1 Astudillo, María R.
1 Azizov, Tomas Ya.
1 Bagchi, Bijan Kumar
1 Baidiuk, Dmytro V.
1 Bendikov, Alexander D.
1 Calderón Martín, Antonio Jesús
1 Carrillo, Diego
1 Cartarius, Holger
1 Clark, Stephen L.
1 Cojuhari, Petru A.
1 Cranston, Michael Craig
1 De Nittis, Giuseppe
1 Demiralp, Ersan
1 Derevyagin, Maxim S.
1 Dijksma, Aad
1 Dizdarevic, Daniel
1 Dymek, Piotr
1 Esmeral, Kevin
1 Faddeev, Mikhaĭl Mikhaĭlovich
1 Feinberg, Joshua
1 Fermi, Davide
1 Fischbacher, Christoph
1 Gargano, Francesco
1 Gawlik, M.
1 Giribet, Juan Ignacio
1 Goloshchapova, N. I.
1 Gomi, Kiyonori
1 Grigor’yan, Alexander Asaturovich
1 Günther, Uwe
1 Heo, Jaeseong
1 Heriban, Lukáš
1 Horwitz, Lawrence Paul
1 Hrod, A. I.
1 Japaridze, George I.
1 Jian, Wenwen
1 Jones, Hugh F.
1 Karwowski, Witold
1 Kisil, Vladimir V.
1 Kopach, Mykhaĭlo Ivanovych
1 Krainer, Thomas
1 Kurasov, Pavel B.
1 Lange, Rutger-Jan
1 Langer, Matthias
1 Leben, Leslie
1 Li, Yin
1 Maestripieri, Alejandra L.
1 Main, Jörg
1 Massey, Pedro G.
1 Mogilevskii, Vadim
1 Möws, Roland
1 Nakić, Ivica
1 Pankrashkin, Konstantin
1 Patsyuk, O. M.
1 Pizzocchero, Livio
...and 38 more Authors
all top 5

Cited in 53 Serials

12 Journal of Mathematical Physics
6 Journal of Mathematical Analysis and Applications
6 Complex Analysis and Operator Theory
4 Integral Equations and Operator Theory
4 Journal of Functional Analysis
4 Journal of Physics A: Mathematical and Theoretical
3 International Journal of Theoretical Physics
3 Annals of Physics
3 Linear Algebra and its Applications
3 Banach Journal of Mathematical Analysis
2 Ukrainian Mathematical Journal
2 Functional Analysis and its Applications
2 Opuscula Mathematica
2 Russian Physics Journal
2 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
2 Annals of Functional Analysis
1 Modern Physics Letters A
1 Journal d’Analyse Mathématique
1 Mathematical Notes
1 Physics Letters. A
1 Reports on Mathematical Physics
1 Reviews in Mathematical Physics
1 Advances in Mathematics
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Dissertationes Mathematicae
1 Journal of Approximation Theory
1 Mathematische Annalen
1 Mathematische Nachrichten
1 Results in Mathematics
1 Tokyo Journal of Mathematics
1 Transactions of the American Mathematical Society
1 Communications in Partial Differential Equations
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Applied and Computational Harmonic Analysis
1 Journal of Mathematical Sciences (New York)
1 The New York Journal of Mathematics
1 Journal of Applied Analysis
1 Abstract and Applied Analysis
1 Mathematical Physics, Analysis and Geometry
1 Revista Matemática Complutense
1 Discrete Dynamics in Nature and Society
1 Czechoslovak Journal of Physics
1 Quantum Information Processing
1 International Journal of Geometric Methods in Modern Physics
1 Mediterranean Journal of Mathematics
1 Proceedings of the Steklov Institute of Mathematics
1 Operators and Matrices
1 Advances in Mathematical Physics
1 Physical Review A, Third Series
1 Symmetry
1 Analysis and Mathematical Physics
1 Carpathian Mathematical Publications
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences

Citations by Year