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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
618 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

43 Publications have been cited 561 times in 335 Documents Cited by Year
The absolutely continuous spectrum of Jacobi matrices. Zbl 1235.47032
Remling, Christian
66
2011
Schrödinger operators and de Branges spaces. Zbl 1054.34019
Remling, Christian
56
2002
The absolute continuous spectrum of one-dimensional Schrödinger operators with decaying potentials. Zbl 0908.34067
Remling, Christian
46
1998
Spectral theory of canonical systems. Zbl 1401.37004
Remling, Christian
33
2018
The absolutely continuous spectrum of one-dimensional Schrödinger operators. Zbl 1139.81036
Remling, Christian
29
2007
Reflectionless Herglotz functions and Jacobi matrices. Zbl 1183.47026
Poltoratski, Alexei; Remling, Christian
28
2009
Spectral analysis of higher order differential operators. I: General properties of the \(M\)-function. Zbl 0922.34068
Remling, Christian
24
1998
The spectrum of differential operators of order \(2n\) with almost constant coefficients. Zbl 0990.34070
Behncke, Horst; Hinton, Don; Remling, Christian
23
2001
Schrödinger operators with sparse potentials: asymptotics of the Fourier transform of the spectral measure. Zbl 1161.81378
Krutikov, Denis; Remling, Christian
18
2001
Effective perturbation methods for one-dimensional Schrödinger operators. Zbl 0921.34076
Kiselev, Alexander; Remling, Christian; Simon, Barry
17
1999
Spectral analysis of higher-order differential operators. II: Fourth-order equations. Zbl 0930.34061
Remling, Christian
17
1999
Direct and inverse spectral theory of one-dimensional Schrödinger operators with measures. Zbl 1107.34064
Amor, Ali Ben; Remling, Christian
16
2005
The absolutely continuous spectrum of one-dimensional Schrödinger operators with decaying potentials. Zbl 0892.34075
Christ, Michael; Kiselev, Alexander; Remling, Christian
14
1997
Bounds on embedded singular spectrum for one-dimensional Schrödinger operators. Zbl 0931.34067
Remling, Christian
13
2000
Inverse spectral theory for one-dimensional Schrödinger operators: The \(A\) function. Zbl 1087.34004
Remling, Christian
12
2003
Schrödinger operators with many bound states. Zbl 1114.34065
Damanik, David; Remling, Christian
11
2007
Uniform asymptotic integration of a family of linear differential systems. Zbl 0995.34045
Behncke, Horst; Remling, Christian
11
2001
Asymptotic integration of linear differential equations. Zbl 0883.47041
Behncke, Horst; Remling, Christian
10
1997
Subordinate solutions and spectral measures of canonical systems. Zbl 0967.34073
Hassi, Seppo; Remling, Christian; de Snoo, Henk
9
2000
Generalized reflection coefficients. Zbl 1312.47039
Remling, Christian
9
2015
Essential spectrum and \(L_ 2\)-solutions of one-dimensional Schrödinger operators. Zbl 0858.34073
Remling, Christian
8
1996
Embedded singular continuous spectra for one-dimensional Schrödinger operators. Zbl 0918.34074
Remling, Christian
7
1999
A probabilistic approach to one-dimensional Schrödinger operators with sparse potentials. Zbl 0878.34071
Remling, Christian
7
1997
Approximation results for reflectionless Jacobi matrices. Zbl 1225.47033
Poltoratski, Alexei; Remling, Christian
7
2011
The absolutely continuous spectrum of discrete canonical systems. Zbl 1163.39007
Fischer, Andreas; Remling, Christian
7
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
Topological properties of reflectionless Jacobi matrices. Zbl 1272.47042
Remling, Christian
6
2013
Uniqueness of reflectionless Jacobi matrices and the Denisov-Rakhmanov theorem. Zbl 1218.42011
Remling, Christian
5
2011
The inverse scattering transform for the KdV equation with step-like singular Miura initial profiles. Zbl 1328.35199
Grudsky, Sergei; Remling, Christian; Rybkin, Alexei
5
2015
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
The essential spectrum of canonical systems. Zbl 1457.34122
Remling, Christian; Scarbrough, Kyle
4
2020
Oscillation theory and semibounded canonical systems. Zbl 1477.34110
Remling, Christian; Scarbrough, Kyle
4
2020
Discrete and embedded eigenvalues for one-dimensional Schrödinger operators. Zbl 1131.39019
Remling, Christian
3
2007
Toda maps, cocycles, and canonical systems. Zbl 1434.37037
Remling, Christian
3
2019
Finite propagation speed and kernel estimates for Schrödinger operators. Zbl 1121.81050
Remling, Christian
2
2007
Universal bounds on spectral measures of one-dimensional Schrödinger operators. Zbl 1044.34044
Remling, Christian
2
2003
Generalized Toda flows. Zbl 1419.37057
Ong, Darren C.; Remling, Christian
2
2019
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
One-dimensional Schrödinger operators with decaying potentials. Zbl 0989.34069
Remling, Christian
1
1999
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
4
2020
Oscillation theory and semibounded canonical systems. Zbl 1477.34110
Remling, Christian; Scarbrough, Kyle
4
2020
Toda maps, cocycles, and canonical systems. Zbl 1434.37037
Remling, Christian
3
2019
Generalized Toda flows. Zbl 1419.37057
Ong, Darren C.; Remling, Christian
2
2019
Spectral theory of canonical systems. Zbl 1401.37004
Remling, Christian
33
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
9
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
5
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
66
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
28
2009
The absolutely continuous spectrum of discrete canonical systems. Zbl 1163.39007
Fischer, Andreas; Remling, Christian
7
2009
The absolutely continuous spectrum of one-dimensional Schrödinger operators. Zbl 1139.81036
Remling, Christian
29
2007
Schrödinger operators with many bound states. Zbl 1114.34065
Damanik, David; Remling, Christian
11
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
2
2007
Direct and inverse spectral theory of one-dimensional Schrödinger operators with measures. Zbl 1107.34064
Amor, Ali Ben; Remling, Christian
16
2005
Inverse spectral theory for one-dimensional Schrödinger operators: The \(A\) function. Zbl 1087.34004
Remling, Christian
12
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
56
2002
The spectrum of differential operators of order \(2n\) with almost constant coefficients. Zbl 0990.34070
Behncke, Horst; Hinton, Don; Remling, Christian
23
2001
Schrödinger operators with sparse potentials: asymptotics of the Fourier transform of the spectral measure. Zbl 1161.81378
Krutikov, Denis; Remling, Christian
18
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
13
2000
Subordinate solutions and spectral measures of canonical systems. Zbl 0967.34073
Hassi, Seppo; Remling, Christian; de Snoo, Henk
9
2000
Schrödinger operators with decaying potentials: some counterexamples. Zbl 1009.81019
Remling, Christian
4
2000
Effective perturbation methods for one-dimensional Schrödinger operators. Zbl 0921.34076
Kiselev, Alexander; Remling, Christian; Simon, Barry
17
1999
Spectral analysis of higher-order differential operators. II: Fourth-order equations. Zbl 0930.34061
Remling, Christian
17
1999
Embedded singular continuous spectra for one-dimensional Schrödinger operators. Zbl 0918.34074
Remling, Christian
7
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
46
1998
Spectral analysis of higher order differential operators. I: General properties of the \(M\)-function. Zbl 0922.34068
Remling, Christian
24
1998
The absolutely continuous spectrum of one-dimensional Schrödinger operators with decaying potentials. Zbl 0892.34075
Christ, Michael; Kiselev, Alexander; Remling, Christian
14
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 255 Authors

25 Damanik, David
21 Remling, Christian
19 Behncke, Horst
18 Simon, Barry
12 Zinchenko, Maxim
11 Yuditskii, Peter Meerovich
10 Lukic, Milivoje
10 Nyamwala, Fredrick Oluoch
10 Ong, Darren C.
9 Breuer, Jonathan
9 Silva, Luis O.
9 Woracek, Harald
8 Christiansen, Jacob Stordal
8 Gesztesy, Fritz
8 Hinton, Don Barker
8 Safronov, Oleg
8 Sun, Huaqing
8 Toloza, Julio H.
7 Acharya, Keshav Raj
7 Kiselev, Alexander A.
7 Liu, Wencai
7 Shi, Yuming
6 Baranov, Anton D.
6 Last, Yoram
6 Naboko, Serguei N.
6 Poltoratski, Alexei G.
5 Eckhardt, Jonathan
5 Eichinger, Benjamin
5 Goldstein, Michael
5 Hur, Injo
5 Killip, Rowan
5 Rybkin, Alexei
5 Seifert, Christian
4 Bessonov, Roman V.
4 Denisov, Sergey A.
4 Frank, Rupert L.
4 Kostenko, Aleksey S.
4 Sakhnovich, Alexander L.
4 Tcheremchantsev, Serguei
4 Teschl, Gerald
3 Belov, Yurii S.
3 Bodine, Sigrun I.
3 Chen, Shaozhu
3 Christ, Michael
3 de Snoo, Hendrik S. V.
3 del Río Castillo, Rafael René
3 Fillman, Jake
3 Guo, Shuzheng
3 Hassi, Seppo
3 Jitomirskaya, Svetlana Yakovlevna
3 Lubinsky, Doron S.
3 Mandich, Marc-Adrien
3 Marchetti, Domingos H. U.
3 Mcbride, Matt
3 Suzuki, Masatoshi
3 VandenBoom, Tom
3 Winkler, Henrik
3 Wreszinski, Walter F.
2 Ambogo, David Otieno
2 Avila, Artur
2 Bellavita, Carlo
2 Exner, Pavel
2 Fang, Licheng
2 Fischer, Andreas
2 Fu, Zhengqi
2 Golénia, Sylvain
2 Grudsky, Sergei Mikhailovich
2 Jakšić, Vojkan
2 Johnson, Russell Allan
2 Kaluzhny, Uri
2 Korotyaev, Evgeny L.
2 Kotani, Shinichi
2 Krüger, Helge
2 Kurbatov, Vitaliĭ Gennad’evich
2 Kurbatova, Irina Vital’evna
2 Kutsenko, Anton A.
2 Laptev, Ari
2 Larson, Simon
2 Laurens, Thierry
2 Lenz, Daniel H.
2 Levi, Netanel
2 Lindner, Marko
2 Lutz, Donald A.
2 Mogilevskii, Vadim
2 Mokeev, Dmitriĭ Borisovich
2 Nazarov, Fedor L.
2 Pearson, David B.
2 Pillet, Claude-Alain
2 Pruckner, Raphael
2 Rohleder, Jonathan
2 Romanov, Roman V.
2 Ryckman, Eric
2 Scarbrough, Kyle
2 Shamis, Mira
2 Shi, Guoliang
2 Simonov, Sergey A.
2 Stollmann, Peter
2 Sun, Jiong
2 Sun, Shurong
2 Tchebotareva, Olga
...and 155 more Authors
all top 5

Cited in 96 Serials

21 Communications in Mathematical Physics
21 Journal of Functional Analysis
18 Journal of Mathematical Analysis and Applications
12 Journal d’Analyse Mathématique
11 Integral Equations and Operator Theory
11 Journal of Differential Equations
11 Journal of Spectral Theory
10 Proceedings of the American Mathematical Society
10 Annales Henri Poincaré
9 Mathematische Nachrichten
8 Journal of Mathematical Physics
7 Journal of Approximation Theory
7 Transactions of the American Mathematical Society
7 Complex Analysis and Operator Theory
6 Advances in Mathematics
6 Inventiones Mathematicae
6 Constructive Approximation
6 Linear Algebra and its Applications
6 Journal of Difference Equations and Applications
6 Mathematical Physics, Analysis and Geometry
5 St. Petersburg Mathematical Journal
4 Letters in Mathematical Physics
4 Duke Mathematical Journal
4 Journal of Computational and Applied Mathematics
4 Journal of the American Mathematical Society
4 Annals of Mathematics. Second Series
3 Rocky Mountain Journal of Mathematics
3 Journal of Mathematical Sciences (New York)
3 Abstract and Applied Analysis
3 Analysis and Mathematical Physics
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 Collectanea Mathematica
2 Monatshefte für Mathematik
2 Geometric and Functional Analysis. GAFA
2 Documenta Mathematica
2 Computational Methods and Function Theory
2 Oberwolfach Reports
2 Journal of Physics A: Mathematical and Theoretical
2 Operators and Matrices
2 Science China. Mathematics
2 ISRN Mathematical Analysis
2 Bulletin of Mathematical Sciences
2 Transactions of the American Mathematical Society. Series B
1 Applicable Analysis
1 Journal of Mathematical Biology
1 Mathematical Methods in the Applied Sciences
1 Studia Mathematica
1 Acta Mathematica
1 Acta Scientiarum Mathematicarum
1 Annales de l’Institut Fourier
1 The Annals of Probability
1 Archiv der Mathematik
1 Bulletin de la Société Mathématique de France
1 Dissertationes Mathematicae
1 Journal of the London Mathematical Society. Second Series
1 Journal of Number Theory
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 Proceedings of the London Mathematical Society. Third Series
1 Results in Mathematics
1 Studies in Applied Mathematics
1 Ergodic Theory and Dynamical Systems
1 Acta Mathematica Hungarica
1 Acta Applicandae Mathematicae
1 Physica D
1 Asymptotic Analysis
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 The New York Journal of Mathematics
1 Sbornik: Mathematics
1 Journal of the European Mathematical Society (JEMS)
1 Qualitative Theory of Dynamical Systems
1 Computational Methods in Applied Mathematics
1 Acta Mathematica Scientia. Series B. (English Edition)
1 Journal of Mathematical Physics, Analysis, Geometry
1 Complex Variables and Elliptic Equations
1 Discrete and Continuous Dynamical Systems. Series S
1 Differential Equations and Applications
1 Annals of Functional Analysis
1 Electronic Journal of Mathematical Analysis and Applications EJMAA
1 Journal of Function Spaces
1 Peking Mathematical Journal
1 Probability and Mathematical Physics

Citations by Year