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Author ID: remling.christian Recent zbMATH articles by "Remling, Christian"
Published as: Remling, Christian
Homepage: https://math.ou.edu/~cremling/
External Links: MGP · Google Scholar · MathOverflow · dblp
Documents Indexed: 47 Publications since 1996, including 2 Books
Reviewing Activity: 16 Reviews
Co-Authors: 20 Co-Authors with 20 Joint Publications
555 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

43 Publications have been cited 481 times in 282 Documents Cited by Year
The absolutely continuous spectrum of Jacobi matrices. Zbl 1235.47032
Remling, Christian
61
2011
Schrödinger operators and de Branges spaces. Zbl 1054.34019
Remling, Christian
47
2002
The absolute continuous spectrum of one-dimensional Schrödinger operators with decaying potentials. Zbl 0908.34067
Remling, Christian
40
1998
The absolutely continuous spectrum of one-dimensional Schrödinger operators. Zbl 1139.81036
Remling, Christian
26
2007
Reflectionless Herglotz functions and Jacobi matrices. Zbl 1183.47026
Poltoratski, Alexei; Remling, Christian
25
2009
The spectrum of differential operators of order \(2n\) with almost constant coefficients. Zbl 0990.34070
Behncke, Horst; Hinton, Don; Remling, Christian
21
2001
Spectral analysis of higher order differential operators. I: General properties of the \(M\)-function. Zbl 0922.34068
Remling, Christian
21
1998
Spectral analysis of higher-order differential operators. II: Fourth-order equations. Zbl 0930.34061
Remling, Christian
17
1999
Schrödinger operators with sparse potentials: asymptotics of the Fourier transform of the spectral measure. Zbl 1161.81378
Krutikov, Denis; Remling, Christian
17
2001
Spectral theory of canonical systems. Zbl 1401.37004
Remling, Christian
15
2018
Effective perturbation methods for one-dimensional Schrödinger operators. Zbl 0921.34076
Kiselev, Alexander; Remling, Christian; Simon, Barry
14
1999
The absolutely continuous spectrum of one-dimensional Schrödinger operators with decaying potentials. Zbl 0892.34075
Christ, Michael; Kiselev, Alexander; Remling, Christian
13
1997
Direct and inverse spectral theory of one-dimensional Schrödinger operators with measures. Zbl 1107.34064
Amor, Ali Ben; Remling, Christian
13
2005
Bounds on embedded singular spectrum for one-dimensional Schrödinger operators. Zbl 0931.34067
Remling, Christian
12
2000
Uniform asymptotic integration of a family of linear differential systems. Zbl 0995.34045
Behncke, Horst; Remling, Christian
11
2001
Inverse spectral theory for one-dimensional Schrödinger operators: The \(A\) function. Zbl 1087.34004
Remling, Christian
11
2003
Asymptotic integration of linear differential equations. Zbl 0883.47041
Behncke, Horst; Remling, Christian
10
1997
Schrödinger operators with many bound states. Zbl 1114.34065
Damanik, David; Remling, Christian
9
2007
Essential spectrum and \(L_ 2\)-solutions of one-dimensional Schrödinger operators. Zbl 0858.34073
Remling, Christian
8
1996
Approximation results for reflectionless Jacobi matrices. Zbl 1225.47033
Poltoratski, Alexei; Remling, Christian
7
2011
A probabilistic approach to one-dimensional Schrödinger operators with sparse potentials. Zbl 0878.34071
Remling, Christian
7
1997
Generalized reflection coefficients. Zbl 1312.47039
Remling, Christian
6
2015
The absolutely continuous spectrum of discrete canonical systems. Zbl 1163.39007
Fischer, Andreas; Remling, Christian
6
2009
Relationships between the \(m\)-function and subordinate solutions of second order differential operators. Zbl 0878.34070
Remling, Christian
6
1997
Some Schrödinger operators with power-decaying potentials and pure point spectrum. Zbl 0896.34071
Remling, Christian
6
1997
Embedded singular continuous spectra for one-dimensional Schrödinger operators. Zbl 0918.34074
Remling, Christian
6
1999
Topological properties of reflectionless Jacobi matrices. Zbl 1272.47042
Remling, Christian
6
2013
Subordinate solutions and spectral measures of canonical systems. Zbl 0967.34073
Hassi, Seppo; Remling, Christian; de Snoo, Henk
5
2000
Uniqueness of reflectionless Jacobi matrices and the Denisov-Rakhmanov theorem. Zbl 1218.42011
Remling, Christian
5
2011
Finite gap potentials and WKB asymptotics for one-dimensional Schrödinger operators. Zbl 1017.81015
Kriecherbauer, Thomas; Remling, Christian
4
2001
Schrödinger operators with decaying potentials: some counterexamples. Zbl 1009.81019
Remling, Christian
4
2000
Geometric characterization of singular self-adjoint boundary conditions for Hamiltonian systems. Zbl 0872.34010
Remling, Christian
4
1996
Discrete and embedded eigenvalues for one-dimensional Schrödinger operators. Zbl 1131.39019
Remling, Christian
3
2007
The inverse scattering transform for the KdV equation with step-like singular Miura initial profiles. Zbl 1328.35199
Grudsky, Sergei; Remling, Christian; Rybkin, Alexei
3
2015
Toda maps, cocycles, and canonical systems. Zbl 1434.37037
Remling, Christian
2
2019
Generalized Toda flows. Zbl 1419.37057
Ong, Darren C.; Remling, Christian
2
2019
Universal bounds on spectral measures of one-dimensional Schrödinger operators. Zbl 1044.34044
Remling, Christian
2
2003
The essential spectrum of canonical systems. Zbl 1457.34122
Remling, Christian; Scarbrough, Kyle
1
2020
Oscillation theory and semibounded canonical systems. Zbl 1477.34110
Remling, Christian; Scarbrough, Kyle
1
2020
One-dimensional Schrödinger operators with decaying potentials. Zbl 0989.34069
Remling, Christian
1
1999
Finite propagation speed and kernel estimates for Schrödinger operators. Zbl 1121.81050
Remling, Christian
1
2007
Spectral theory of ordinary differential operators using the \(m\)-function. (Spektraltheorie gewöhnlicher Differentialoperatoren mit Hilfe der \(m\)-Funktion.) Zbl 0851.34023
Remling, Christian
1
1996
The Marchenko representation of reflectionless Jacobi and Schrödinger operators. Zbl 1355.34125
Hur, Injo; McBride, Matt; Remling, Christian
1
2016
The essential spectrum of canonical systems. Zbl 1457.34122
Remling, Christian; Scarbrough, Kyle
1
2020
Oscillation theory and semibounded canonical systems. Zbl 1477.34110
Remling, Christian; Scarbrough, Kyle
1
2020
Toda maps, cocycles, and canonical systems. Zbl 1434.37037
Remling, Christian
2
2019
Generalized Toda flows. Zbl 1419.37057
Ong, Darren C.; Remling, Christian
2
2019
Spectral theory of canonical systems. Zbl 1401.37004
Remling, Christian
15
2018
The Marchenko representation of reflectionless Jacobi and Schrödinger operators. Zbl 1355.34125
Hur, Injo; McBride, Matt; Remling, Christian
1
2016
Generalized reflection coefficients. Zbl 1312.47039
Remling, Christian
6
2015
The inverse scattering transform for the KdV equation with step-like singular Miura initial profiles. Zbl 1328.35199
Grudsky, Sergei; Remling, Christian; Rybkin, Alexei
3
2015
Topological properties of reflectionless Jacobi matrices. Zbl 1272.47042
Remling, Christian
6
2013
The absolutely continuous spectrum of Jacobi matrices. Zbl 1235.47032
Remling, Christian
61
2011
Approximation results for reflectionless Jacobi matrices. Zbl 1225.47033
Poltoratski, Alexei; Remling, Christian
7
2011
Uniqueness of reflectionless Jacobi matrices and the Denisov-Rakhmanov theorem. Zbl 1218.42011
Remling, Christian
5
2011
Reflectionless Herglotz functions and Jacobi matrices. Zbl 1183.47026
Poltoratski, Alexei; Remling, Christian
25
2009
The absolutely continuous spectrum of discrete canonical systems. Zbl 1163.39007
Fischer, Andreas; Remling, Christian
6
2009
The absolutely continuous spectrum of one-dimensional Schrödinger operators. Zbl 1139.81036
Remling, Christian
26
2007
Schrödinger operators with many bound states. Zbl 1114.34065
Damanik, David; Remling, Christian
9
2007
Discrete and embedded eigenvalues for one-dimensional Schrödinger operators. Zbl 1131.39019
Remling, Christian
3
2007
Finite propagation speed and kernel estimates for Schrödinger operators. Zbl 1121.81050
Remling, Christian
1
2007
Direct and inverse spectral theory of one-dimensional Schrödinger operators with measures. Zbl 1107.34064
Amor, Ali Ben; Remling, Christian
13
2005
Inverse spectral theory for one-dimensional Schrödinger operators: The \(A\) function. Zbl 1087.34004
Remling, Christian
11
2003
Universal bounds on spectral measures of one-dimensional Schrödinger operators. Zbl 1044.34044
Remling, Christian
2
2003
Schrödinger operators and de Branges spaces. Zbl 1054.34019
Remling, Christian
47
2002
The spectrum of differential operators of order \(2n\) with almost constant coefficients. Zbl 0990.34070
Behncke, Horst; Hinton, Don; Remling, Christian
21
2001
Schrödinger operators with sparse potentials: asymptotics of the Fourier transform of the spectral measure. Zbl 1161.81378
Krutikov, Denis; Remling, Christian
17
2001
Uniform asymptotic integration of a family of linear differential systems. Zbl 0995.34045
Behncke, Horst; Remling, Christian
11
2001
Finite gap potentials and WKB asymptotics for one-dimensional Schrödinger operators. Zbl 1017.81015
Kriecherbauer, Thomas; Remling, Christian
4
2001
Bounds on embedded singular spectrum for one-dimensional Schrödinger operators. Zbl 0931.34067
Remling, Christian
12
2000
Subordinate solutions and spectral measures of canonical systems. Zbl 0967.34073
Hassi, Seppo; Remling, Christian; de Snoo, Henk
5
2000
Schrödinger operators with decaying potentials: some counterexamples. Zbl 1009.81019
Remling, Christian
4
2000
Spectral analysis of higher-order differential operators. II: Fourth-order equations. Zbl 0930.34061
Remling, Christian
17
1999
Effective perturbation methods for one-dimensional Schrödinger operators. Zbl 0921.34076
Kiselev, Alexander; Remling, Christian; Simon, Barry
14
1999
Embedded singular continuous spectra for one-dimensional Schrödinger operators. Zbl 0918.34074
Remling, Christian
6
1999
One-dimensional Schrödinger operators with decaying potentials. Zbl 0989.34069
Remling, Christian
1
1999
The absolute continuous spectrum of one-dimensional Schrödinger operators with decaying potentials. Zbl 0908.34067
Remling, Christian
40
1998
Spectral analysis of higher order differential operators. I: General properties of the \(M\)-function. Zbl 0922.34068
Remling, Christian
21
1998
The absolutely continuous spectrum of one-dimensional Schrödinger operators with decaying potentials. Zbl 0892.34075
Christ, Michael; Kiselev, Alexander; Remling, Christian
13
1997
Asymptotic integration of linear differential equations. Zbl 0883.47041
Behncke, Horst; Remling, Christian
10
1997
A probabilistic approach to one-dimensional Schrödinger operators with sparse potentials. Zbl 0878.34071
Remling, Christian
7
1997
Relationships between the \(m\)-function and subordinate solutions of second order differential operators. Zbl 0878.34070
Remling, Christian
6
1997
Some Schrödinger operators with power-decaying potentials and pure point spectrum. Zbl 0896.34071
Remling, Christian
6
1997
Essential spectrum and \(L_ 2\)-solutions of one-dimensional Schrödinger operators. Zbl 0858.34073
Remling, Christian
8
1996
Geometric characterization of singular self-adjoint boundary conditions for Hamiltonian systems. Zbl 0872.34010
Remling, Christian
4
1996
Spectral theory of ordinary differential operators using the \(m\)-function. (Spektraltheorie gewöhnlicher Differentialoperatoren mit Hilfe der \(m\)-Funktion.) Zbl 0851.34023
Remling, Christian
1
1996
all top 5

Cited by 217 Authors

24 Damanik, David
20 Remling, Christian
18 Behncke, Horst
17 Simon, Barry
12 Zinchenko, Maxim
10 Ong, Darren C.
10 Yuditskii, Peter Meerovich
9 Breuer, Jonathan
9 Silva, Luis O.
9 Woracek, Harald
8 Christiansen, Jacob Stordal
8 Gesztesy, Fritz
8 Nyamwala, Fredrick Oluoch
8 Safronov, Oleg
8 Sun, Huaqing
8 Toloza, Julio H.
7 Hinton, Don Barker
7 Kiselev, Alexander A.
7 Lukic, Milivoje
7 Shi, Yuming
6 Last, Yoram
6 Liu, Wencai
6 Naboko, Serguei N.
5 Acharya, Keshav Raj
5 Baranov, Anton D.
5 Eckhardt, Jonathan
5 Goldstein, Michael
5 Hur, Injo
5 Killip, Rowan
5 Seifert, Christian
4 Eichinger, Benjamin
4 Kostenko, Aleksey S.
4 Sakhnovich, Alexander L.
4 Tcheremchantsev, Serguei
4 Teschl, Gerald
3 Bodine, Sigrun I.
3 Chen, Shaozhu
3 Christ, Michael
3 del Río Castillo, Rafael René
3 Fillman, Jake
3 Guo, Shuzheng
3 Jitomirskaya, Svetlana Yakovlevna
3 Lubinsky, Doron S.
3 Marchetti, Domingos H. U.
3 Poltoratski, Alexei G.
3 Rybkin, Alexei
3 VandenBoom, Tom
3 Wreszinski, Walter F.
2 Ambogo, David Otieno
2 Avila, Artur
2 Belov, Yurii S.
2 Bessonov, Roman V.
2 de Snoo, Hendrik S. V.
2 Denisov, Sergey A.
2 Exner, Pavel
2 Fischer, Andreas
2 Golénia, Sylvain
2 Hassi, Seppo
2 Jakšić, Vojkan
2 Johnson, Russell Allan
2 Kaluzhny, Uri
2 Krüger, Helge
2 Kurbatov, Vitaliĭ Gennad’evich
2 Kurbatova, Irina Vital’evna
2 Laptev, Ari
2 Lenz, Daniel H.
2 Lindner, Marko
2 Lutz, Donald A.
2 Mandich, Marc-Adrien
2 Mcbride, Matt
2 Mogilevskii, Vadim
2 Nazarov, Fedor L.
2 Pearson, David B.
2 Pillet, Claude-Alain
2 Romanov, Roman V.
2 Ryckman, Eric
2 Shi, Guoliang
2 Simonov, Sergey A.
2 Stollmann, Peter
2 Sun, Jiong
2 Sun, Shurong
2 Suzuki, Masatoshi
2 Tchebotareva, Olga
2 Uribe, Alfredo
2 Winkler, Henrik
2 Zampogni, Luca
2 Zettl, Anton
1 Abakumov, Evgeny V.
1 Agure, John Ogonji
1 Alpan, Gökalp
1 Arov, Damir Zyamovich
1 Avdonin, Sergeĭ Anatol’evich
1 Baratchart, Laurent
1 Beckus, Siegfried
1 Bell, Jonathan
1 Bellavita, Carlo
1 Binder, Ilia A.
1 Blair, Matthew D.
1 Bohner, Martin J.
1 Bourget, Olivier
...and 117 more Authors
all top 5

Cited in 78 Serials

19 Communications in Mathematical Physics
18 Journal of Mathematical Analysis and Applications
18 Journal of Functional Analysis
12 Journal d’Analyse Mathématique
10 Integral Equations and Operator Theory
10 Journal of Differential Equations
10 Proceedings of the American Mathematical Society
10 Annales Henri Poincaré
8 Mathematische Nachrichten
7 Transactions of the American Mathematical Society
6 Journal of Mathematical Physics
6 Journal of Approximation Theory
6 Constructive Approximation
6 Linear Algebra and its Applications
6 Journal of Difference Equations and Applications
6 Mathematical Physics, Analysis and Geometry
6 Complex Analysis and Operator Theory
6 Journal of Spectral Theory
4 Letters in Mathematical Physics
4 Advances in Mathematics
4 Duke Mathematical Journal
4 Inventiones Mathematicae
4 Journal of Computational and Applied Mathematics
4 Journal of the American Mathematical Society
4 St. Petersburg Mathematical Journal
3 Rocky Mountain Journal of Mathematics
3 Abstract and Applied Analysis
3 Annals of Mathematics. Second Series
2 Israel Journal of Mathematics
2 Journal of Statistical Physics
2 Mathematical Notes
2 Nonlinearity
2 Arkiv för Matematik
2 Reviews in Mathematical Physics
2 Monatshefte für Mathematik
2 Geometric and Functional Analysis. GAFA
2 Journal of Mathematical Sciences (New York)
2 Documenta Mathematica
2 Computational Methods and Function Theory
2 Oberwolfach Reports
2 Operators and Matrices
2 Science China. Mathematics
2 ISRN Mathematical Analysis
2 Analysis and Mathematical Physics
2 Bulletin of Mathematical Sciences
1 Applicable Analysis
1 Journal of Mathematical Biology
1 Mathematical Methods in the Applied Sciences
1 Acta Mathematica
1 Annales de l’Institut Fourier
1 Archiv der Mathematik
1 Bulletin de la Société Mathématique de France
1 Collectanea Mathematica
1 Kyungpook Mathematical Journal
1 Mathematische Annalen
1 Mathematische Zeitschrift
1 Memoirs of the American Mathematical Society
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Ergodic Theory and Dynamical Systems
1 Acta Mathematica Hungarica
1 Acta Applicandae Mathematicae
1 Physica D
1 The Journal of Geometric Analysis
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Expositiones Mathematicae
1 Journal of Dynamics and Differential Equations
1 Applied and Computational Harmonic Analysis
1 Sbornik: Mathematics
1 Journal of the European Mathematical Society (JEMS)
1 Qualitative Theory of Dynamical Systems
1 Computational Methods in Applied Mathematics
1 Complex Variables and Elliptic Equations
1 Discrete and Continuous Dynamical Systems. Series S
1 Annals of Functional Analysis
1 Journal of Function Spaces
1 Transactions of the American Mathematical Society. Series B

Citations by Year