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Author ID: gesztesy.fritz Recent zbMATH articles by "Gesztesy, Fritz"
Published as: Gesztesy, Fritz; Gesztesy, F.; Gesztesy, Friedrich; Gesztezy, Fritz
Homepage: http://faculty.missouri.edu/~gesztesyf/
External Links: MGP · Wikidata · ResearchGate · GND · IdRef
Documents Indexed: 279 Publications since 1978, including 7 Books
13 Contributions as Editor
Biographic References: 3 Publications
Co-Authors: 135 Co-Authors with 278 Joint Publications
3,433 Co-Co-Authors
all top 5

Co-Authors

12 single-authored
54 Holden, Helge
32 Simon, Barry
27 Nichols, Roger
23 Teschl, Gerald
22 Mitrea, Marius
21 Weikard, Rudi
21 Zinchenko, Maxim
14 Albeverio, Sergio A.
14 Makarov, Konstantin A.
12 Sukochev, Fedor Anatol’evich
11 Høegh-Krohn, Raphael J.
11 Zhao, Zhongxin
10 Bollé, D.
9 Carey, Alan L.
9 Littlejohn, Lance L.
9 Unterkofler, Karl
8 Clark, Steve
8 Latushkin, Yuri
7 Pang, Michael M. H.
7 Streit, Ludwig
6 Ashbaugh, Mark S.
6 Behrndt, Jussi
6 Grosse, Harald
6 Kirsch, Werner
6 Kirsten, Klaus
6 Levitina, Galina Borisovna
6 Potapov, Denis
5 Bulla, W.
5 Eckhardt, Jonathan
5 Michael, Isaac B.
5 Michor, Johanna
5 Tomilov, Yuri
4 Naboko, Serguei N.
4 Schweiger, Wolfgang
4 Stanfill, Jonathan
3 Bruning, Erwin Albert Karl
3 Deift, Percy A.
3 Hofmann, Steve
3 Kalton, Nigel John
3 Karwowski, Witold
3 Klaus, Martin
3 Pittner, Ludwig
3 Race, David
3 Renger, Walter
3 Thaller, Bernd
3 Tkachenko, Vadim Aleksandrovich
3 Tsekanovskii, Eduard R.
3 Zanin, Dmitriy V.
2 Batchenko, Vladimir
2 Berndt, Bruce Carl
2 Cascaval, Radu C.
2 Damanik, David
2 del Río Castillo, Rafael René
2 Demuth, Michael
2 Dickson, Ronnie
2 Exner, Pavel
2 Fucci, Guglielmo
2 Galvez, Cherie
2 Godefroy, Gilles
2 Grafakos, Loukas
2 Hermi, Lotfi
2 Jost, Jürgen
2 Laptev, Ari
2 Martínez-Finkelshtein, Andrei
2 Mitter, Heinrich
2 Paycha, Sylvie
2 Perry, Peter A.
2 Ratnaseelan, R.
2 Röckner, Michael
2 Sakhnovich, Alexander L.
2 Sakhnovych, Lev Aronovych
2 Scarlatti, Sergio
2 Schlag, Wilhelm
2 Šeba, Petr
2 Shterenberg, Roman G.
2 Sukhtaiev, Selim
2 Tossounian, Hagop
2 Verbitsky, Igor E.
2 Yuditskii, Peter Meerovich
1 Avdonin, Sergeĭ Anatol’evich
1 Avron, Joseph E.
1 Batchenko, Volodymyr
1 Belokolos, Eugene D.
1 Blake Allan, S.
1 Blanchard, Philippe
1 Breuer, Jonathan
1 Britz, Thomas
1 Chuah, Chian Yeong
1 Danneels, C.
1 Derkach, Vladimir Alexandrovich
1 Enolskiĭ, Viktor Zelikovich
1 Figari, Rodolfo
1 Frank, Rupert L.
1 Fröhlich, Jürg Martin
1 Geronimo, Jeffrey S.
1 Goldstein, Jerome Arthur
1 Gomilko, Alexandre M.
1 Graf, Gian Michele
1 Gurarie, David
1 Hanche-Olsen, Harald
...and 43 more Co-Authors
all top 5

Serials

14 Journal of Differential Equations
12 Journal of Functional Analysis
10 Journal d’Analyse Mathématique
10 Journal of Mathematical Analysis and Applications
9 Communications in Mathematical Physics
9 Journal of Mathematical Physics
9 Mathematische Nachrichten
8 Transactions of the American Mathematical Society
7 Reports on Mathematical Physics
7 Reviews in Mathematical Physics
6 Integral Equations and Operator Theory
6 Journal of Physics A: Mathematical and General
5 Letters in Mathematical Physics
5 Advances in Mathematics
5 Proceedings of the American Mathematical Society
5 Differential and Integral Equations
4 Bulletin of the American Mathematical Society. New Series
4 Operators and Matrices
3 Acta Mathematica
3 Journal of the London Mathematical Society. Second Series
3 Journal für die Reine und Angewandte Mathematik
3 Journal of Operator Theory
3 IMRN. International Mathematics Research Notices
3 Skrifter. Det Kongelige Norske Videnskabers Selskab
3 Methods of Functional Analysis and Topology
3 Journal of Spectral Theory
2 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique
2 Mathematische Zeitschrift
2 Memoirs of the American Mathematical Society
2 Proceedings of the London Mathematical Society. Third Series
2 Acta Applicandae Mathematicae
2 Revista Matemática Iberoamericana
2 Notices of the American Mathematical Society
2 Annales de l’Institut Henri Poincaré. Physique Théorique
2 Russian Journal of Mathematical Physics
2 St. Petersburg Mathematical Journal
2 Discrete and Continuous Dynamical Systems
2 Cambridge Studies in Advanced Mathematics
2 CMS Conference Proceedings
2 Proceedings of Symposia in Pure Mathematics
2 Contemporary Mathematicians
2 EMS Series of Congress Reports
1 Applicable Analysis
1 Archive for Rational Mechanics and Analysis
1 Helvetica Physica Acta
1 Israel Journal of Mathematics
1 Journal of Statistical Physics
1 Studia Mathematica
1 Acta Scientiarum Mathematicarum
1 American Journal of Mathematics
1 Annales de l’Institut Fourier
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Duke Mathematical Journal
1 Indiana University Mathematics Journal
1 Journal of Approximation Theory
1 Journal of Computational and Applied Mathematics
1 Mathematische Annalen
1 Mathematica Scandinavica
1 Mathematika
1 Quarterly of Applied Mathematics
1 Studies in Applied Mathematics
1 Advances in Applied Mathematics
1 Annals of Physics
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 SIAM Journal on Mathematical Analysis
1 Comptes Rendus de l’Académie des Sciences. Série I
1 Journal of Mathematical Sciences (New York)
1 Opuscula Mathematica
1 Matematicheskaya Fizika, Analiz, Geometriya
1 Mathematical Inequalities & Applications
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Annals of Mathematics. Second Series
1 Annales Henri Poincaré
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Cubo
1 Oberwolfach Reports
1 IMRP. International Mathematics Research Papers
1 Journal of Mathematical Physics, Analysis, Geometry
1 Contemporary Mathematics
1 Lecture Notes in Mathematics
1 Complex Analysis and Operator Theory
1 Inverse Problems and Imaging
1 Mathematical Modelling of Natural Phenomena
1 Discrete and Continuous Dynamical Systems. Series S
1 Annals of Functional Analysis
1 Bulletin of Mathematical Sciences
1 Research in the Mathematical Sciences
1 Proceedings of the American Mathematical Society. Series B
1 Operator Theory: Advances and Applications
1 Texts and Monographs in Physics

Publications by Year

Citations contained in zbMATH Open

255 Publications have been cited 3,987 times in 2,294 Documents Cited by Year
Solvable models in quantum mechanics. Zbl 0679.46057
Albeverio, Sergio; Gesztesy, Friedrich; Høegh-Krohn, Raphael; Holden, Helge
329
1988
Solvable models in quantum mechanics. With an appendix by Pavel Exner. 2nd revised ed. Zbl 1078.81003
Albeverio, Sergio; Gesztesy, Friedrich; Høegh-Krohn, Raphael; Holden, Helge
134
2005
Soliton equations and their algebro-geometric solutions. I: (1+1)-dimensional continuous models. Zbl 1061.37056
Gesztesy, Fritz; Holden, Helge
134
2003
Inverse spectral analysis with partial information on the potential. II: The case of discrete spectrum. Zbl 0948.34060
Gesztesy, Fritz; Simon, Barry
123
2000
On matrix-valued Herglotz functions. Zbl 0961.30027
Gesztesy, Fritz; Tsekanovskii, Eduard
90
2000
Weakly coupled bound states in quantum waveguides. Zbl 0868.35080
Bulla, W.; Gesztesy, F.; Renger, W.; Simon, B.
66
1997
Algebro-geometric solutions of the Camassa-Holm hierarchy. Zbl 1029.37049
Gesztesy, Fritz; Holden, Helge
55
2003
Weyl-Titchmarsh \(M\)-function asymptotics, local uniqueness results, trace formulas, and Borg-type theorems for Dirac operators. Zbl 1017.34019
Clark, Steve; Gesztesy, Fritz
52
2002
On spectral theory for Schrödinger operators with strongly singular potentials. Zbl 1108.34063
Gesztesy, Fritz; Zinchenko, Maxim
52
2006
A description of all self-adjoint extensions of the Laplacian and Kreĭn-type resolvent formulas on non-smooth domains. Zbl 1231.47044
Gesztesy, Fritz; Mitrea, Marius
51
2011
Soliton equations and their algebro-geometric solutions. Volume II. \((1+1)\)-dimensional discrete models. Zbl 1151.37056
Gesztesy, Fritz; Holden, Helge; Michor, Johanna; Teschl, Gerald
50
2008
An alternative approach to algebro-geometric solutions of the AKNS hierarchy. Zbl 0974.35107
Gesztesy, F.; Ratnaseelan, R.
50
1998
\(m\)-functions and inverse spectral analysis for finite and semi-infinite Jacobi matrices. Zbl 0924.15005
Gesztesy, Fritz; Simon, Barry
50
1997
Generalized Robin boundary conditions, Robin-to-Dirichlet maps, and Krein-type resolvent formulas for Schrödinger operators on bounded Lipschitz domains. Zbl 1178.35147
Gesztesy, Fritz; Mitrea, Marius
48
2008
A new approach to inverse spectral theory. II: General real potentials and the connection to the spectral measure. Zbl 0983.34013
Gesztesy, Fritz; Simon, Barry
47
2000
Weyl-Titchmarsh theory for Sturm-Liouville operators with distributional potentials. Zbl 1283.34022
Eckhardt, Jonathan; Gesztesy, Fritz; Nichols, Roger; Teschl, Gerald
46
2013
Algebro-geometric solutions of the Boussinesq hierarchy. Zbl 0971.35065
Dickson, R.; Gesztesy, F.; Unterkofler, K.
43
1999
The \(\xi\) function. Zbl 0885.34070
Gesztesy, Fritz; Simon, Barry
39
1996
Nonselfadjoint operators, infinite determinants, and some applications. Zbl 1201.47028
Gesztesy, F.; Latushkin, Y.; Mitrea, M.; Zinchenko, M.
39
2005
On Weyl-Titchmarsh theory for singular finite difference Hamiltonian systems. Zbl 1065.39027
Clark, Steve; Gesztesy, Fritz
38
2004
Deficiency indices and singular boundary conditions in quantum mechanics. Zbl 0583.35029
Bulla, W.; Gesztesy, F.
38
1985
Picard potential and Hill’s equation on a torus. Zbl 0927.37040
Gesztesy, Fritz; Weikard, Rudi
36
1996
Weyl–Titchmarsh theory for CMV operators associated with orthogonal polynomials on the unit circle. Zbl 1118.47023
Gesztesy, Fritz; Zinchenko, Maxim
35
2006
Rank one perturbations at infinite coupling. Zbl 0828.47009
Gesztesy, Fritz; Simon, Barry
34
1995
A new approach to the Boussinesq hierarchy. Zbl 0978.35049
Dickson, Ronnie; Gesztesy, Fritz; Unterkofler, Karl
33
1999
Algebro-geometric quasi-periodic finite-gap solutions of the Toda and Kac-van Moerbeke hierarchies. Zbl 0906.35099
Bulla, W.; Gesztesy, F.; Holden, H.; Teschl, G.
32
1998
Uniqueness results for matrix-valued Schrödinger, Jacobi, and Dirac-type operators. Zbl 1017.34020
Gesztesy, Fritz; Kiselev, Alexander; Makarov, Konstantin A.
32
2002
Algebro-geometric solutions of the Baxter-Szegő difference equation. Zbl 1080.37075
Geronimo, Jeffrey S.; Gesztesy, Fritz; Holden, Helge
31
2005
On local Borg-Marchenko uniqueness results. Zbl 0985.34077
Gesztesy, Fritz; Simon, Barry
31
2000
On the double commutation method. Zbl 0855.34028
Gesztesy, F.; Teschl, G.
31
1996
New analytically solvable models of relativistic point interactions. Zbl 0646.60107
Gesztesy, F.; Šeba, P.
30
1987
Uniqueness theorems in inverse spectral theory for one-dimensional Schrödinger operators. Zbl 0846.34090
Gesztesy, F.; Simon, B.
30
1996
Nonlocal Robin Laplacians and some remarks on a paper by Filonov on eigenvalue inequalities. Zbl 1181.35155
Gesztesy, Fritz; Mitrea, Marius
30
2009
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
30
2012
Witten index, axial anomaly, and Krein’s spectral shift function in supersymmetric quantum mechanics. Zbl 0643.47005
Bollé, D.; Gesztesy, F.; Grosse, H.; Schweiger, W.; Simon, B.
29
1987
Perturbative oscillation criteria and Hardy-type inequalities. Zbl 0903.34030
Gesztesy, F.; Ünal, M.
29
1998
Spectral theory for perturbed Krein Laplacians in nonsmooth domains. Zbl 1191.35188
Ashbaugh, Mark S.; Gesztesy, Fritz; Mitrea, Marius; Teschl, Gerald
28
2010
Borg-type theorems for matrix-valued Schrödinger operators. Zbl 0970.34073
Clark, Steve; Gesztesy, Fritz; Holden, Helge; Levitan, Boris M.
27
2000
Elliptic algebro-geometric solutions of the KdV and AKNS hierarchies - an analytic approach. Zbl 0909.34073
Gesztesy, Fritz; Weikard, Rudi
27
1998
One-dimensional Schrödinger operators with interactions singular on a discrete set. Zbl 0565.34018
Gesztesy, F.; Kirsch, W.
27
1985
Variations on a theme of Jost and Pais. Zbl 1133.47010
Gesztesy, Fritz; Mitrea, Marius; Zinchenko, Maxim
26
2007
Inverse spectral analysis with partial information on the potential. III: Updating boundary conditions. Zbl 0898.34075
del Rio, Rafael; Gesztesy, Fritz; Simon, Barry
26
1997
Commutation methods applied to the mKdV-equation. Zbl 0728.35106
Gesztesy, F.; Schweiger, W.; Simon, B.
26
1991
Trace formulas and Borg-type theorems for matrix-valued Jacobi and Dirac finite difference operators. Zbl 1085.39016
Clark, Steve; Gesztesy, Fritz; Renger, Walter
25
2005
The low energy expansion in nonrelativistic scattering theory. Zbl 0528.35076
Albeverio, Sergio; Gesztesy, Friedrich; Høegh-Krohn, Raphael
25
1982
Zeros of the Wronskian and renormalized oscillation theory. Zbl 0858.47027
Gesztesy, F.; Simon, B.; Teschl, G.
25
1996
Inverse spectral analysis with partial information on the potential. I: The case of an a.c. component in the spectrum. Zbl 0870.34017
Gesztesy, Fritz; Simon, Barry
25
1997
Some applications of operator-valued Herglotz functions. Zbl 0991.30020
Gesztesy, Fritz; Kalton, Nigel J.; Makarov, Konstantin A.; Tsekanovskii, Eduard
25
2001
On the determination of a potential from three spectra. Zbl 0922.34008
Gesztesy, Fritz; Simon, Barry
24
1999
A complete spectral characterization of the double commutation method. Zbl 0813.34074
Gesztesy, F.
24
1993
Limits of soliton solutions. Zbl 0811.35122
Gesztesy, F.; Karwowski, W.; Zhao, Z.
23
1992
Treibich-Verdier potentials and the stationary (m)KdV hierarchy. Zbl 0830.35119
Gesztesy, F.; Weikard, R.
23
1995
Weyl-Titchmarsh \(M\)-function asymptotics for matrix-valued Schrödinger operators. Zbl 1025.34021
Clark, Steve; Gesztesy, Fritz
23
2001
Robin-to-Robin maps and Krein-type resolvent formulas for Schrödinger operators on bounded Lipschitz domains. Zbl 1180.35186
Gesztesy, Fritz; Mitrea, Marius
22
2009
An addendum to Krein’s formula. Zbl 0922.47006
Gesztesy, Fritz; Makarov, Konstantin A.; Tsekanovskii, Eduard
22
1998
Real-valued algebro-geometric solutions of the Camassa-Holm hierarchy. Zbl 1153.37427
Gesztesy, Fritz; Holden, Helge
21
2008
A spectral mapping theorem and invariant manifolds for nonlinear Schrödinger equations. Zbl 0969.35123
Gesztesy, F.; Jones, C. K. R. T.; Latushkin, Y.; Stanislavova, M.
21
2000
A complete treatment of low-energy scattering in one dimension. Zbl 0567.47008
Bollé, D.; Gesztesy, F.; Wilk, S. F. J.
21
1985
A criterion for Hill operators to be spectral operators of scalar type. Zbl 1193.47037
Gesztesy, Fritz; Trachenko, Vadim
20
2009
Trapping and cascading of eigenvalues in the large coupling limit. Zbl 0669.35085
Gesztesy, F.; Gurarie, D.; Holden, H.; Klaus, M.; Sadun, L.; Simon, B.; Vogl, P.
19
1988
The \(\Xi\) operator and its relation to Krein’s spectral shift function. Zbl 0964.47013
Gesztesy, Fritz; Makarov, Konstantin A.
19
2000
One-dimensional scattering theory for quantum systems with nontrivial spatial asymptotics. Zbl 0894.34077
Gesztesy, F.; Nowell, R.; Pötz, W.
19
1997
Spectral properties of a class of reflectionless Schrödinger operators. Zbl 1387.34120
Gesztesy, Fritz; Yuditskii, Peter
19
2006
On self-adjoint and \(J\)-self-adjoint Dirac-type operators: a case study. Zbl 1124.34062
Clark, Steve; Gesztesy, Fritz
19
2006
A new class of solvable models in quantum mechanics describing point interactions on the line. Zbl 0627.34030
Gesztesy, F.; Holden, H.
18
1987
Spectral deformations of one-dimensional Schrödinger operators. Zbl 0951.34061
Gesztesy, F.; Simon, B.; Teschl, G.
18
1996
Floquet theory revisited. Zbl 0946.47031
Gesztesy, F.; Weikard, R.
18
1995
The spectral shift operator. Zbl 0966.47011
Gesztesy, Fritz; Makarov, Konstantin A.; Naboko, Serguei N.
18
1999
Threshold scattering in two dimensions. Zbl 0696.35040
Bollé, D.; Gesztesy, F.; Danneels, C.
17
1988
Generalized polar decompositions for closed operators in Hilbert spaces and some applications. Zbl 1200.47003
Gesztesy, Fritz; Malamud, Mark; Mitrea, Marius; Naboko, Serguei
17
2009
The index formula and the spectral shift function for relatively trace class perturbations. Zbl 1220.47017
Gesztesy, Fritz; Latushkin, Yuri; Makarov, Konstantin A.; Sukochev, Fedor; Tomilov, Yuri
17
2011
Derivatives of (modified) Fredholm determinants and stability of standing and traveling waves. Zbl 1161.47058
Gesztesy, Fritz; Latushkin, Yuri; Zumbrun, Kevin
17
2008
On the Koplienko spectral shift function. I: Basics. Zbl 1190.47016
Gesztesy, F.; Pushnitski, A.; Simon, B.
17
2008
On isospectral sets of Jacobi operators. Zbl 0881.58069
Gesztesy, F.; Krishna, M.; Teschl, G.
17
1996
On a theorem of Deift and Hempel. Zbl 0647.35063
Gesztesy, F.; Simon, B.
15
1988
Topological invariance of the Witten index. Zbl 0649.47012
Gesztesy, F.; Simon, B.
15
1988
A rigorous approach to relativistic corrections of bound state energies for spin-1/2 particles. Zbl 0534.46053
Gesztesy, F.; Grosse, H.; Thaller, B.
15
1984
Essential closures and AC spectra for reflectionless CMV, Jacobi, and Schrödinger operators revisited. Zbl 1165.34050
Gesztesy, Fritz; Makarov, Konstantin A.; Zinchenko, Maxim
15
2008
Spectral estimation and inverse initial boundary value problems. Zbl 1193.93071
Avdonin, Sergei; Gesztesy, Fritz; Makarov, Konstantin A.
15
2010
Lamé potentials and the stationary (m)KdV hierarchy. Zbl 0843.35100
Gesztesy, F.; Weikard, R.
15
1995
A Borg-type theorem associated with orthogonal polynomials on the unit circle. Zbl 1131.47027
Gesztesy, Fritz; Zinchenko, Maxim
15
2006
A unified approach to eigenvalues and resonances of Schrödinger operators using Fredholm determinants. Zbl 0622.35049
Gesztesy, F.; Holden, H.
14
1987
Inverse spectral theory for Sturm-Liouville operators with distributional potentials. Zbl 1302.34127
Eckhardt, Jonathan; Gesztesy, Fritz; Nichols, Roger; Teschl, Gerald
14
2013
A survey on the Krein-von Neumann extension, the corresponding abstract buckling problem, and Weyl-type spectral asymptotics for perturbed Krein Laplacians in nonsmooth domains. Zbl 1283.47001
Ashbaugh, Mark S.; Gesztesy, Fritz; Mitrea, Marius; Shterenberg, Roman; Teschl, Gerald
14
2013
Local spectral properties of reflectionless Jacobi, CMV, and Schrödinger operators. Zbl 1165.34051
Gesztesy, Fritz; Zinchenko, Maxim
14
2009
The damped string problem revisited. Zbl 1223.47049
Gesztesy, Fritz; Holden, Helge
14
2011
Supersymmetry and Schrödinger-type operators with distributional matrix-valued potentials. Zbl 1320.34116
Eckhardt, Jonathan; Gesztesy, Fritz; Nichols, Roger; Teschl, Gerald
14
2014
A characterization of all elliptic algebro-geometric solutions of the AKNS hierarchy. Zbl 0955.34073
Gesztesy, Fritz; Weikard, Rudi
14
1998
Higher order trace relations for Schrödinger operators. Zbl 0833.34084
Gesztesy, Fritz; Holden, Helge; Simon, Barry; Zhao, Zhong Xin
14
1995
Commutation methods for Jacobi operators. Zbl 0854.34079
Gesztesy, F.; Teschl, G.
14
1996
On point interactions in one dimension. Zbl 0561.35023
Albeverio, Sergio; Gesztesy, Friedrich; Høegh-Krohn, Raphael; Kirsch, W.
14
1984
Scattering theory for one-dimensional systems with \(\int dx\,V(x)=0\). Zbl 0617.35105
Bollé, D.; Gesztesy, F.; Klaus, M.
13
1987
The Krein-von Neumann extension and its connection to an abstract buckling problem. Zbl 1183.35100
Ashbaugh, Mark S.; Gesztesy, Fritz; Mitrea, Marius; Shterenberg, Roman; Teschl, Gerald
13
2010
On trace formulas for Schrödinger-type operators. Zbl 0881.34027
Gesztesy, F.; Holden, H.
13
1997
Trace formulae and inverse spectral theory for Schrödinger operators. Zbl 0786.34081
Gesztesy, Fritz; Holden, Helge; Simon, Barry; Zhao, Zhong Xin
13
1993
On critical and subcritical Sturm-Liouville operators. Zbl 0726.35119
Gesztesy, F.; Zhao, Z.
13
1991
Factorizations and Hardy-Rellich-type inequalities. Zbl 1402.35014
Gesztesy, Fritz; Littlejohn, Lance
13
2018
On Birman’s sequence of Hardy-Rellich-type inequalities. Zbl 1384.26043
Gesztesy, Fritz; Littlejohn, Lance L.; Michael, Isaac; Wellman, Richard
12
2018
A short proof of Zheludev’s theorem. Zbl 0770.34056
Gesztesy, F.; Simon, B.
12
1993
Absolute summability of the trace relation for certain Schrödinger operators. Zbl 0821.34076
Gesztesy, Fritz; Holden, Helge; Simon, Barry
12
1995
The generalized Birman-Schwinger principle. Zbl 07462172
Behrndt, Jussi; ter Elst, A. F. M.; Gesztesy, Fritz
2
2022
A survey of some norm inequalities. Zbl 07352441
Gesztesy, Fritz; Nichols, Roger; Stanfill, Jonathan
1
2021
The product formula for regularized Fredholm determinants. Zbl 07326419
Britz, Thomas; Carey, Alan; Gesztesy, Fritz; Nichols, Roger; Sukochev, Fedor; Zanin, Dmitriy
1
2021
Bessel-type operators and a refinement of Hardy’s inequality. Zbl 07456826
Gesztesy, Fritz; Pang, Michael M. H.; Stanfill, Jonathan
1
2021
On self-adjoint boundary conditions for singular Sturm-Liouville operators bounded from below. Zbl 1458.34143
Gesztesy, Fritz; Littlejohn, Lance L.; Nichols, Roger
9
2020
The inverse approach to Dirac-type systems based on the \(A\)-function concept. Zbl 1470.34053
Gesztesy, Fritz; Sakhnovich, Alexander
4
2020
On absence of threshold resonances for Schrödinger and Dirac operators. Zbl 1459.35107
Gesztesy, Fritz; Nichols, Roger
1
2020
On weighted Hardy-type inequalities. Zbl 1444.26017
Chuah, Chian Yeong; Gesztesy, Fritz; Littlejohn, Lance L.; Mei, Tao; Michael, Isaac; Pang, Michael M. H.
1
2020
Radial and logarithmic refinements of Hardy’s inequality. Zbl 1414.35010
Gesztesy, F.; Littlejohn, L. L.; Michael, I.; Pang, M. M. H.
8
2019
Effective computation of traces, determinants, and \(\zeta\)-functions for Sturm-Liouville operators. Zbl 06988448
Gesztesy, Fritz; Kirsten, Klaus
6
2019
On traces and modified Fredholm determinants for half-line Schrödinger operators with purely discrete spectra. Zbl 07070224
Gesztesy, Fritz; Kirsten, Klaus
1
2019
On a theorem of Z. Sebestyén and Zs. Tarcsay. Zbl 1438.47040
Gesztesy, Fritz; Schmüdgen, Konrad
1
2019
Factorizations and Hardy-Rellich-type inequalities. Zbl 1402.35014
Gesztesy, Fritz; Littlejohn, Lance
13
2018
On Birman’s sequence of Hardy-Rellich-type inequalities. Zbl 1384.26043
Gesztesy, Fritz; Littlejohn, Lance L.; Michael, Isaac; Wellman, Richard
12
2018
On the global limiting absorption principle for massless Dirac operators. Zbl 1394.81115
Carey, Alan; Gesztesy, Fritz; Kaad, Jens; Levitina, Galina; Nichols, Roger; Potapov, Denis; Sukochev, Fedor
7
2018
Coupling of symmetric operators and the third Green identity. Zbl 1466.47017
Behrndt, Jussi; Derkach, Vladimir; Gesztesy, Fritz; Mitrea, Marius
2
2018
Spectral shift functions and Dirichlet-to-Neumann maps. Zbl 1417.35016
Behrndt, Jussi; Gesztesy, Fritz; Nakamura, Shu
2
2018
Renormalized oscillation theory for Hamiltonian systems. Zbl 1381.34050
Gesztesy, Fritz; Zinchenko, Maxim
9
2017
On the Witten index in terms of spectral shift functions. Zbl 1481.47012
Carey, Alan; Gesztesy, Fritz; Potapov, Denis; Sukochev, Fedor; Tomilov, Yuri
9
2017
Real-valued algebro-geometric solutions of the two-component Camassa-Holm hierarchy. (Solutions algebro-géométriques à valeurs réelles de la hierarchie de Camassa-Holm à deux composantes.) Zbl 1383.35182
Eckhardt, Jonathan; Gesztesy, Fritz; Holden, Helge; Kostenko, Aleksey; Teschl, Gerald
5
2017
A bound for the eigenvalue counting function for Krein-von Neumann and Friedrichs extensions. Zbl 1362.35197
Ashbaugh, Mark S.; Gesztesy, Fritz; Laptev, Ari; Mitrea, Marius; Sukhtaiev, Selim
3
2017
On (conditional) positive semidefiniteness in a matrix-valued context. Zbl 1387.47010
Gesztesy, Fritz; Pang, Michael
3
2017
On the index of meromorphic operator-valued functions and some applications. Zbl 1441.47012
Behrndt, Jussi; Gesztesy, Fritz; Holden, Helge; Nichols, Roger
1
2017
Decoupling of deficiency indices and applications to Schrödinger-type operators with possibly strongly singular potentials. Zbl 1357.35099
Gesztesy, Fritz; Mitrea, Marius; Nenciu, Irina; Teschl, Gerald
8
2016
Dirichlet-to-Neumann maps, abstract Weyl-Titchmarsh \(M\)-functions, and a generalized index of unbounded meromorphic operator-valued functions. Zbl 1350.47009
Behrndt, Jussi; Gesztesy, Fritz; Holden, Helge; Nichols, Roger
7
2016
Trace formulas for a class of non-Fredholm operators: a review. Zbl 1394.47023
Carey, Alan; Gesztesy, Fritz; Grosse, Harald; Levitina, Galina; Potapov, Denis; Sukochev, Fedor; Zanin, Dmitriy
5
2016
From mathematical physics to analysis: a walk in Barry Simon’s mathematical garden. II. Zbl 1352.01037
Avron, Joseph; Jitomirskaya, Svetlana; Damanik, David; Breuer, Jonathan; Last, Yoram; Martínez-Finkelshtein, Andrei
5
2016
On index theory for non-Fredholm operators: a \((1+1)\)-dimensional example. Zbl 1384.47006
Carey, Alan; Gesztesy, Fritz; Levitina, Galina; Potapov, Denis; Sukochev, Fedor; Zanin, Dima
4
2016
On the index of a non-Fredholm model operator. Zbl 1356.47018
Carey, Alan; Gesztesy, Fritz; Levitina, Galina; Sukochev, Fedor
4
2016
Erratum to: “On factorizations of analytic operator-valued functions and eigenvalue multiplicity questions”. Zbl 1465.47010
Gesztesy, Fritz; Holden, Helge; Nichols, Roger
3
2016
The Krein-von Neumann realization of perturbed Laplacians on bounded Lipschitz domains. Zbl 1372.35200
Behrndt, Jussi; Gesztesy, Fritz; Micheler, Till; Mitrea, Marius
3
2016
Double operator integral methods applied to continuity of spectral shift functions. Zbl 06694723
Carey, Alan; Gesztesy, Fritz; Levitina, Galina; Nichols, Roger; Potapov, Denis; Sukochev, Fedor
2
2016
On stability of square root domains for non-self-adjoint operators under additive perturbations. Zbl 1345.47015
Gesztesy, Fritz; Hofmann, Steve; Nichols, Roger
2
2016
The spectral shift function and the Witten index. Zbl 06981831
Carey, Alan; Gesztesy, Fritz; Levitina, Galina; Sukochev, Fedor
2
2016
The Callias index formula revisited. Zbl 1359.47001
Gesztesy, Fritz; Waurick, Marcus
1
2016
Selecta. Volume 2. Edited by Fritz Gesztesy, Gilles Godefroy, Loukas Grafakos and Igor Verbitsky. Zbl 1347.01021
Kalton, Nigel J.
1
2016
Inverse spectral problems for Schrödinger-type operators with distributional matrix-valued potentials. Zbl 1340.34053
Eckhardt, Jonathan; Gesztesy, Fritz; Nichols, Roger; Sakhnovich, Alexander; Teschl, Gerald
10
2015
Some operator bounds employing complex interpolation revisited. Zbl 1380.47012
Gesztesy, Fritz; Latushkin, Yuri; Sukochev, Fedor; Tomilov, Yuri
5
2015
Heat kernel bounds for elliptic partial differential operators in divergence form with Robin-type boundary conditions. II. Zbl 1307.47050
Gesztesy, Fritz; Mitrea, Marius; Nichols, Roger; Ouhabaz, El Maati
3
2015
Stability of square root domains associated with elliptic systems of PDEs on nonsmooth domains. Zbl 1308.35082
Gesztesy, Fritz; Hofmann, Steve; Nichols, Roger
2
2015
A bound for the eigenvalue counting function for higher-order Krein Laplacians on open sets. Zbl 1339.35202
Gesztesy, F.; Mitrea, M.; Sukhtaiev, S.; Laptev, A.
1
2015
A Jost-Pais-type reduction of (modified) Fredholm determinants for semi-separable operators in infinite dimensions. Zbl 06767994
Gesztesy, Fritz; Nichols, Roger
1
2015
On factorizations of analytic operator-valued functions and eigenvalue multiplicity questions. Zbl 1316.47014
Gesztesy, Fritz; Holden, Helge; Nichols, Roger
1
2015
Supersymmetry and Schrödinger-type operators with distributional matrix-valued potentials. Zbl 1320.34116
Eckhardt, Jonathan; Gesztesy, Fritz; Nichols, Roger; Teschl, Gerald
14
2014
Heat kernel bounds for elliptic partial differential operators in divergence form with Robin-type boundary conditions. Zbl 1296.47041
Gesztesy, Fritz; Mitrea, Marius; Nichols, Roger
9
2014
Boundary data maps and Krein’s resolvent formula for Sturm-Liouville operators on a finite interval. Zbl 1311.34037
Clark, Stephen; Gesztesy, Fritz; Nichols, Roger; Zinchenko, Maxim
8
2014
A Jost-Pais-type reduction of Fredholm determinants and some applications. Zbl 1311.47027
Carey, Alan; Gesztesy, Fritz; Potapov, Denis; Sukochev, Fedor; Tomilov, Yuri
5
2014
Some remarks on the spectral problem underlying the Camassa-Holm hierarchy. Zbl 1322.47028
Gesztesy, Fritz; Weikard, Rudi
5
2014
Weyl-Titchmarsh theory for Sturm-Liouville operators with distributional potentials. Zbl 1283.34022
Eckhardt, Jonathan; Gesztesy, Fritz; Nichols, Roger; Teschl, Gerald
46
2013
Inverse spectral theory for Sturm-Liouville operators with distributional potentials. Zbl 1302.34127
Eckhardt, Jonathan; Gesztesy, Fritz; Nichols, Roger; Teschl, Gerald
14
2013
A survey on the Krein-von Neumann extension, the corresponding abstract buckling problem, and Weyl-type spectral asymptotics for perturbed Krein Laplacians in nonsmooth domains. Zbl 1283.47001
Ashbaugh, Mark S.; Gesztesy, Fritz; Mitrea, Marius; Shterenberg, Roman; Teschl, Gerald
14
2013
Initial value problems and Weyl-Titchmarsh theory for Schrödinger operators with operator-valued potentials. Zbl 1283.34023
Gesztesy, Fritz; Weikard, R.; Zinchenko, Maxim
10
2013
On spectral theory for Schrödinger operators with operator-valued potentials. Zbl 1291.34139
Gesztesy, Fritz; Weikard, Rudi; Zinchenko, Maxim
7
2013
On a class of model Hilbert spaces. Zbl 1448.46032
Gesztesy, Fritz; Weikard, Rudi; Zinchenko, Maxim
3
2013
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
30
2012
Symmetrized perturbation determinants and applications to boundary data maps and Krein-type resolvent formulas. Zbl 1247.34030
Gesztesy, Fritz; Zinchenko, Maxim
10
2012
Abstract wave equations and associated Dirac-type operators. Zbl 1262.35174
Gesztesy, Fritz; Goldstein, Jerome A.; Holden, Helge; Teschl, Gerald
9
2012
On a question of A. E. Nussbaum on measurability of families of closed linear operators in a Hilbert space. Zbl 1258.47032
Gesztesy, Fritz; Gomilko, Alexander; Sukochev, Fedor; Tomilov, Yuri
6
2012
An abstract approach to weak convergence of spectral shift functions and applications to multi-dimensional Schrödinger operators. Zbl 1263.47015
Gesztesy, Fritz; Nichols, Roger
6
2012
Weak convergence of spectral shift functions for one-dimensional Schrödinger operators. Zbl 1263.47026
Gesztesy, Fritz; Nichols, Roger
4
2012
A description of all self-adjoint extensions of the Laplacian and Kreĭn-type resolvent formulas on non-smooth domains. Zbl 1231.47044
Gesztesy, Fritz; Mitrea, Marius
51
2011
The index formula and the spectral shift function for relatively trace class perturbations. Zbl 1220.47017
Gesztesy, Fritz; Latushkin, Yuri; Makarov, Konstantin A.; Sukochev, Fedor; Tomilov, Yuri
17
2011
The damped string problem revisited. Zbl 1223.47049
Gesztesy, Fritz; Holden, Helge
14
2011
On the nature of the Laplace-Beltrami operator on Lipschitz manifolds. Zbl 1222.58020
Gesztesy, F.; Mitrea, I.; Mitrea, D.; Mitrea, M.
6
2011
Spectral theory for perturbed Krein Laplacians in nonsmooth domains. Zbl 1191.35188
Ashbaugh, Mark S.; Gesztesy, Fritz; Mitrea, Marius; Teschl, Gerald
28
2010
Spectral estimation and inverse initial boundary value problems. Zbl 1193.93071
Avdonin, Sergei; Gesztesy, Fritz; Makarov, Konstantin A.
15
2010
The Krein-von Neumann extension and its connection to an abstract buckling problem. Zbl 1183.35100
Ashbaugh, Mark S.; Gesztesy, Fritz; Mitrea, Marius; Shterenberg, Roman; Teschl, Gerald
13
2010
The algebro-geometric initial value problem for the Ablowitz-Ladik hierarchy. Zbl 1178.37074
Gesztesy, Fritz; Holden, Helge; Michor, Johanna; Teschl, Gerald
3
2010
Boundary data maps for Schrödinger operators on a compact interval. Zbl 1208.34028
Clark, S.; Gesztesy, F.; Mitrea, M.
1
2010
Nonlocal Robin Laplacians and some remarks on a paper by Filonov on eigenvalue inequalities. Zbl 1181.35155
Gesztesy, Fritz; Mitrea, Marius
30
2009
Robin-to-Robin maps and Krein-type resolvent formulas for Schrödinger operators on bounded Lipschitz domains. Zbl 1180.35186
Gesztesy, Fritz; Mitrea, Marius
22
2009
A criterion for Hill operators to be spectral operators of scalar type. Zbl 1193.47037
Gesztesy, Fritz; Trachenko, Vadim
20
2009
Generalized polar decompositions for closed operators in Hilbert spaces and some applications. Zbl 1200.47003
Gesztesy, Fritz; Malamud, Mark; Mitrea, Marius; Naboko, Serguei
17
2009
Local spectral properties of reflectionless Jacobi, CMV, and Schrödinger operators. Zbl 1165.34051
Gesztesy, Fritz; Zinchenko, Maxim
14
2009
On Dirichlet-to-Neumann maps and some applications to modified Fredholm determinants. Zbl 1169.47014
Gesztesy, Fritz; Mitrea, Marius; Zinchenko, Maxim
6
2009
The Ablowitz-Ladik hierarchy revisited. Zbl 1160.37028
Gesztesy, Fritz; Holden, Helge; Michor, Johanna; Teschl, Gerald
4
2009
Minimal rank decoupling of full-lattice CMV operators with scalar- and matrix-valued Verblunsky coefficients. Zbl 1172.39026
Clark, Stephen; Gesztesy, Fritz; Zinchenko, Maxim
3
2009
Soliton equations and their algebro-geometric solutions. Volume II. \((1+1)\)-dimensional discrete models. Zbl 1151.37056
Gesztesy, Fritz; Holden, Helge; Michor, Johanna; Teschl, Gerald
50
2008
Generalized Robin boundary conditions, Robin-to-Dirichlet maps, and Krein-type resolvent formulas for Schrödinger operators on bounded Lipschitz domains. Zbl 1178.35147
Gesztesy, Fritz; Mitrea, Marius
48
2008
Real-valued algebro-geometric solutions of the Camassa-Holm hierarchy. Zbl 1153.37427
Gesztesy, Fritz; Holden, Helge
21
2008
Derivatives of (modified) Fredholm determinants and stability of standing and traveling waves. Zbl 1161.47058
Gesztesy, Fritz; Latushkin, Yuri; Zumbrun, Kevin
17
2008
On the Koplienko spectral shift function. I: Basics. Zbl 1190.47016
Gesztesy, F.; Pushnitski, A.; Simon, B.
17
2008
Essential closures and AC spectra for reflectionless CMV, Jacobi, and Schrödinger operators revisited. Zbl 1165.34050
Gesztesy, Fritz; Makarov, Konstantin A.; Zinchenko, Maxim
15
2008
Local conservation laws and the Hamiltonian formalism for the Ablowitz-Ladik hierarchy. Zbl 1193.37092
Gesztesy, Fritz; Holden, Helge; Michor, Johanna; Teschl, Gerald
6
2008
Borg–Marchenko type uniqueness results for CMV operators. Zbl 1165.47021
Clark, Stephen; Gesztesy, Fritz; Zinchenko, Maxim
5
2008
The algebro-geometric Toda hierarchy initial value problem for complex-valued initial data. Zbl 1143.37045
Gesztesy, Fritz; Holden, Helge; Teschl, Gerald
5
2008
Variations on a theme of Jost and Pais. Zbl 1133.47010
Gesztesy, Fritz; Mitrea, Marius; Zinchenko, Maxim
26
2007
Evans functions, Jost functions, and Fredholm determinants. Zbl 1134.34004
Gesztesy, Fritz; Latushkin, Yuri; Makarov, Konstantin A.
11
2007
Weyl-Titchmarsh theory and Borg-Marchenko-type uniqueness results for CMV operators with matrix-valued Verblunsky coefficients. Zbl 1142.34014
Clark, Stephen; Gesztesy, Fritz; Zinchenko, Maxim
11
2007
Inverse spectral theory as influenced by Barry Simon. Zbl 1135.34006
Gesztesy, Fritz
8
2007
Multi-dimensional versions of a determinant formula due to Jost and Pais. Zbl 1207.47043
Gesztesy, F.; Mitrea, M.; Zinchenko, M.
6
2007
Spectral theory and mathematical physics. A festschrift in honor of Barry Simon’s 60th birthday. Ergodic Schrödinger operators, singular spectrum, orthogonal polynomials, and inverse spectral theory. Based on the SimonFest conference, Pasadena, CA, USA, March 27–31, 2006. Zbl 1110.00015
4
2007
Algebro-geometric finite-band solutions of the Ablowitz-Ladik hierarchy. Zbl 1137.37033
Gesztesy, Fritz; Holden, Helge; Michor, Johanna; Teschl, Gerald
3
2007
On spectral theory for Schrödinger operators with strongly singular potentials. Zbl 1108.34063
Gesztesy, Fritz; Zinchenko, Maxim
52
2006
Weyl–Titchmarsh theory for CMV operators associated with orthogonal polynomials on the unit circle. Zbl 1118.47023
Gesztesy, Fritz; Zinchenko, Maxim
35
2006
Spectral properties of a class of reflectionless Schrödinger operators. Zbl 1387.34120
Gesztesy, Fritz; Yuditskii, Peter
19
2006
On self-adjoint and \(J\)-self-adjoint Dirac-type operators: a case study. Zbl 1124.34062
Clark, Steve; Gesztesy, Fritz
19
2006
A Borg-type theorem associated with orthogonal polynomials on the unit circle. Zbl 1131.47027
Gesztesy, Fritz; Zinchenko, Maxim
15
2006
An explicit characterization of Calogero-Moser systems. Zbl 1082.37065
Gesztesy, Fritz; Unterkofler, Karl; Weikard, Rudi
10
2006
When is a non-self-adjoint Hill operator a spectral operator of scalar type? Zbl 1108.34064
Gesztesy, Fritz; Tkachenko, Vadim
5
2006
...and 155 more Documents
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Cited by 1,984 Authors

128 Gesztesy, Fritz
49 Malamud, Mark M.
49 Yang, Chuanfu
46 Geng, Xianguo
44 Albeverio, Sergio A.
41 Teschl, Gerald
39 Exner, Pavel
36 Simon, Barry
35 Sakhnovich, Alexander L.
32 Behrndt, Jussi
32 Wei, Guangsheng
23 Kostenko, Aleksey S.
22 Holden, Helge
20 Ma, Wen-Xiu
19 Fan, Engui
19 Posilicano, Andrea
19 Sukochev, Fedor Anatol’evich
19 Tsekanovskii, Eduard R.
19 Weikard, Rudi
18 Damanik, David
18 Popov, Igor’ Yur’evich
18 Wang, Yuping
17 Eckhardt, Jonathan
17 Geyler, Vladimir A.
17 Hasil, Petr
17 Mitrea, Marius
17 Neidhardt, Hagen
17 Nichols, Roger
16 Bondarenko, Natalia P.
16 Korotyaev, Evgeny L.
15 Borisov, Denis Ivanovich
15 Latushkin, Yuri
15 Lotoreichik, Vladimir
15 Nazarov, Sergeĭ Aleksandrovich
15 Shieh, Chung-Tsun
14 Hassi, Seppo
14 Koshmanenko, Volodymyr Dmytrovych
14 Kurasov, Pavel B.
14 Pankrashkin, Konstantin
14 Vesely, Michal
14 Xue, Bo
14 Zinchenko, Maxim
13 de Snoo, Hendrik S. V.
13 Šeba, Petr
13 Ugurlu, Ekin
13 Zemánek, Petr
12 Hryniv, Rostyslav O.
12 Kirsten, Klaus
12 Makarov, Konstantin A.
12 Michelangeli, Alessandro
11 Carey, Alan L.
11 Guo, Yongxia
11 He, Guoliang
11 Ong, Darren C.
11 Potapov, Denis
11 Rohleder, Jonathan
11 Schlag, Wilhelm
11 Shi, Yuming
11 Silva, Luis O.
11 Teta, Alessandro
11 Yurko, Vjacheslav Anatoljevich
11 Zeng, Xin
10 Boumenir, Amin A.
10 Fritzsche, Bernd
10 Kirstein, Bernd
10 Lin, Chang-Shou
10 Qiao, Zhijun
10 Remling, Christian
10 Rybkin, Alexei
10 Zhao, Peng
9 Arlins’kyĭ, Yuriĭ Moĭseĭovych
9 Belyi, Sergey V.
9 Brown, B. Malcolm
9 Chen, Zhijie
9 Derevyagin, Maxim S.
9 Fillman, Jake
9 Koyunbakan, Hikmet
9 Krejčiřík, David
9 Langer, Heinz
9 Mykytyuk, Yaroslav V.
9 Nguyen Tuan Duy
9 Nicoleau, François
9 Wei, Jiao
9 Wu, Lihua
9 Yuditskii, Peter Meerovich
8 Cacciapuoti, Claudio
8 Cardone, Giuseppe
8 Daudé, Thierry
8 Dell’Antonio, Gian Fausto
8 Figari, Rodolfo
8 Hou, Yu
8 Krieger, Joachim
8 Levitina, Galina Borisovna
8 Littlejohn, Lance L.
8 Lukic, Milivoje
8 Mikhaylov, Victor S.
8 Mityagin, Boris Samuilovich
8 Pushnitski, Alexander B.
8 Richard, Serge
8 Sukhtayev, Alim
...and 1,884 more Authors
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Cited in 322 Serials

141 Journal of Mathematical Physics
136 Journal of Mathematical Analysis and Applications
97 Journal of Functional Analysis
85 Journal of Differential Equations
73 Communications in Mathematical Physics
63 Integral Equations and Operator Theory
45 Letters in Mathematical Physics
44 Annales Henri Poincaré
42 Theoretical and Mathematical Physics
42 Mathematische Nachrichten
35 Reports on Mathematical Physics
34 Mathematical Notes
33 Proceedings of the American Mathematical Society
30 Journal of Spectral Theory
28 Applied Mathematics and Computation
28 Transactions of the American Mathematical Society
27 Linear Algebra and its Applications
26 Journal d’Analyse Mathématique
26 Advances in Mathematics
26 Journal of Mathematical Sciences (New York)
25 Complex Analysis and Operator Theory
24 Reviews in Mathematical Physics
23 Applicable Analysis
23 Journal of Nonlinear Mathematical Physics
19 Physics Letters. A
19 Journal of Computational and Applied Mathematics
19 Applied Mathematics Letters
17 Journal of Statistical Physics
17 Journal of Approximation Theory
17 Annales de l’Institut Henri Poincaré. Physique Théorique
16 Results in Mathematics
16 Physica D
16 Abstract and Applied Analysis
15 Journal of Geometry and Physics
15 Russian Journal of Mathematical Physics
15 Mathematical Physics, Analysis and Geometry
15 Journal of Physics A: Mathematical and Theoretical
14 Annals of Physics
14 Communications in Partial Differential Equations
14 Inverse Problems in Science and Engineering
14 Analysis and Mathematical Physics
13 Mathematical Methods in the Applied Sciences
13 Journal of Difference Equations and Applications
12 Journal de Mathématiques Pures et Appliquées. Neuvième Série
12 Doklady Mathematics
12 Boundary Value Problems
12 Operators and Matrices
11 Studies in Applied Mathematics
11 SIAM Journal on Mathematical Analysis
11 St. Petersburg Mathematical Journal
11 Differential Equations
10 Monatshefte für Mathematik
10 Potential Analysis
10 Communications on Pure and Applied Analysis
9 Ukrainian Mathematical Journal
9 Chaos, Solitons and Fractals
9 Annales de l’Institut Fourier
9 Functional Analysis and its Applications
9 Mathematische Zeitschrift
9 Journal of Inverse and Ill-Posed Problems
9 Advances in Difference Equations
8 Archive for Rational Mechanics and Analysis
8 International Journal of Theoretical Physics
8 ZAMP. Zeitschrift für angewandte Mathematik und Physik
8 Duke Mathematical Journal
8 The Journal of Geometric Analysis
8 Journal of Dynamics and Differential Equations
8 Discrete and Continuous Dynamical Systems
7 Computers & Mathematics with Applications
7 Inverse Problems
7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
7 Advances in Applied Mathematics
7 Communications in Nonlinear Science and Numerical Simulation
7 Advances in Mathematical Physics
6 Rocky Mountain Journal of Mathematics
6 Mathematische Annalen
6 Publications of the Research Institute for Mathematical Sciences, Kyoto University
6 Quaestiones Mathematicae
6 Constructive Approximation
6 Bulletin of the American Mathematical Society. New Series
6 Opuscula Mathematica
6 Lobachevskii Journal of Mathematics
6 Journal of Evolution Equations
6 International Journal of Geometric Methods in Modern Physics
6 Inverse Problems and Imaging
5 Annali di Matematica Pura ed Applicata. Serie Quarta
5 Journal für die Reine und Angewandte Mathematik
5 Transactions of the Moscow Mathematical Society
5 Zeitschrift für Analysis und ihre Anwendungen
5 Acta Applicandae Mathematicae
5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
5 Journal of Nonlinear Science
5 Calculus of Variations and Partial Differential Equations
5 Discrete and Continuous Dynamical Systems. Series S
4 Mathematical Proceedings of the Cambridge Philosophical Society
4 Mathematics of Computation
4 Acta Mathematica
4 Inventiones Mathematicae
4 Turkish Journal of Mathematics
4 Integral Transforms and Special Functions
...and 222 more Serials
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Cited in 57 Fields

885 Operator theory (47-XX)
868 Partial differential equations (35-XX)
771 Ordinary differential equations (34-XX)
626 Quantum theory (81-XX)
320 Dynamical systems and ergodic theory (37-XX)
128 Functional analysis (46-XX)
116 Statistical mechanics, structure of matter (82-XX)
87 Difference and functional equations (39-XX)
75 Global analysis, analysis on manifolds (58-XX)
71 Algebraic geometry (14-XX)
65 Functions of a complex variable (30-XX)
63 Probability theory and stochastic processes (60-XX)
63 Numerical analysis (65-XX)
62 Linear and multilinear algebra; matrix theory (15-XX)
57 Harmonic analysis on Euclidean spaces (42-XX)
45 Special functions (33-XX)
38 Optics, electromagnetic theory (78-XX)
28 Real functions (26-XX)
28 Fluid mechanics (76-XX)
24 Mechanics of particles and systems (70-XX)
24 Mechanics of deformable solids (74-XX)
23 Differential geometry (53-XX)
21 Combinatorics (05-XX)
20 Integral equations (45-XX)
16 Relativity and gravitational theory (83-XX)
15 Potential theory (31-XX)
13 Approximations and expansions (41-XX)
12 Integral transforms, operational calculus (44-XX)
12 Calculus of variations and optimal control; optimization (49-XX)
12 Systems theory; control (93-XX)
11 Number theory (11-XX)
9 \(K\)-theory (19-XX)
9 Measure and integration (28-XX)
9 Several complex variables and analytic spaces (32-XX)
9 Information and communication theory, circuits (94-XX)
8 Statistics (62-XX)
6 Abstract harmonic analysis (43-XX)
6 Computer science (68-XX)
5 Topological groups, Lie groups (22-XX)
4 Nonassociative rings and algebras (17-XX)
3 General and overarching topics; collections (00-XX)
3 History and biography (01-XX)
3 Field theory and polynomials (12-XX)
3 Commutative algebra (13-XX)
3 Manifolds and cell complexes (57-XX)
3 Classical thermodynamics, heat transfer (80-XX)
3 Geophysics (86-XX)
3 Biology and other natural sciences (92-XX)
2 Geometry (51-XX)
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2 Algebraic topology (55-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Mathematical logic and foundations (03-XX)
1 Associative rings and algebras (16-XX)
1 Group theory and generalizations (20-XX)
1 General topology (54-XX)
1 Operations research, mathematical programming (90-XX)

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