## Teschl, Gerald

Compute Distance To:
 Author ID: teschl.gerald Published as: Teschl, Gerald; Teschl, G. Homepage: http://www.mat.univie.ac.at/~gerald External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef · theses.fr
 Documents Indexed: 170 Publications since 1996, including 13 Books 2 Contributions as Editor Co-Authors: 66 Co-Authors with 112 Joint Publications 1,325 Co-Co-Authors
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### Co-Authors

 59 single-authored 23 Gesztesy, Fritz 18 Eckhardt, Jonathan 18 Egorova, Iryna 17 Kostenko, Aleksey S. 17 Michor, Johanna 11 Holden, Helge 9 Teschl, Susanne 7 Krüger, Helge 4 Mitrea, Marius 4 Nichols, Roger 4 Sakhnovich, Alexander L. 4 Simon, Barry 3 Ashbaugh, Mark S. 3 Gladka, Zoya 3 Holzleitner, Markus 3 Kopylova, Elena A. 3 Unterkofler, Karl 2 Alvarez-Romero, Isaac 2 Amann, Anton 2 Boutet de Monvel, Anne Marie 2 Grunert, Katrin 2 Hinterhuber, Hartmann 2 Kamvissis, Spyridon 2 King, Julian 2 Koc, Helin 2 Kunzinger, Michael 2 Lange, Till Luc 2 Mikikits-Leitner, Alice 2 Rein, Gerhard 2 Shterenberg, Roman G. 2 Sims, Robert L. 2 Steinbauer, Roland 2 Toloza, Julio H. 1 Akbarfam, Aliasghar Jodayree 1 Ammann, Kerstin 1 Andreiev, Kyrylo 1 Beigl, Alexander 1 Brunnhuber, Rainer 1 Bulla, W. 1 Čap, Andreas 1 Damanik, David 1 Egorova, I. E. 1 Falkner, Neil 1 Feichtinger, Hans Georg 1 Goldstein, Jerome Arthur 1 Grafakos, Loukas 1 Hauser, Herwig 1 Islambekov, Umar 1 Koornwinder, Tom H. 1 Kotlyarov, Volodymyr 1 Kupferthaler, Alexander 1 Lamel, Bernhard 1 Luef, Franz 1 Luger, Annemarie 1 Malamud, Mark M. 1 Marchenko, Vladimir Aleksandrovich 1 Mochalski, PaweŁ 1 Nenciu, Irina 1 Ratnaseelan, R. 1 Schmied, Michael 1 Shahriari, Mohammad 1 Shepelsky, Dmitry 1 Sigmund, Karl 1 Silva, Luis O. 1 Stadler, Robert 1 Wöhrer, Tobias
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### Serials

 34 Monatshefte für Mathematik 13 Internationale Mathematische Nachrichten 8 Proceedings of the American Mathematical Society 6 Communications in Mathematical Physics 6 Journal of Mathematical Analysis and Applications 6 Journal of Differential Equations 5 Journal d’Analyse Mathématique 5 Journal of Mathematical Physics, Analysis, Geometry 4 Advances in Mathematics 4 Mathematische Nachrichten 4 Discrete and Continuous Dynamical Systems 3 Journal of Mathematical Physics 3 Nonlinearity 3 IMRN. International Mathematics Research Notices 3 Graduate Studies in Mathematics 3 Operators and Matrices 2 Inverse Problems 2 Journal für die Reine und Angewandte Mathematik 2 Mathematische Zeitschrift 2 Opuscula Mathematica 2 Journal of Difference Equations and Applications 2 Mathematical Physics, Analysis and Geometry 2 Journal of Spectral Theory 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Mathematical Biology 1 Journal of Statistical Physics 1 Letters in Mathematical Physics 1 Physics Letters. A 1 Russian Mathematical Surveys 1 Reviews in Mathematical Physics 1 American Journal of Mathematics 1 Annales de l’Institut Fourier 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Bulletin of the London Mathematical Society 1 Journal of Functional Analysis 1 Journal of the London Mathematical Society. Second Series 1 Memoirs of the American Mathematical Society 1 Studies in Applied Mathematics 1 Transactions of the American Mathematical Society 1 Revista Matemática Iberoamericana 1 Differential and Integral Equations 1 SIAM Journal on Mathematical Analysis 1 Expositiones Mathematicae 1 Electronic Journal of Differential Equations (EJDE) 1 The Journal of Fourier Analysis and Applications 1 Annales Henri Poincaré 1 Cambridge Studies in Advanced Mathematics 1 Mathematical Surveys and Monographs 1 Proceedings of Symposia in Pure Mathematics 1 Journal of Theoretical Biology 1 Proceedings of the American Mathematical Society. Series B
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### Fields

 66 Partial differential equations (35-XX) 65 Ordinary differential equations (34-XX) 51 Operator theory (47-XX) 49 General and overarching topics; collections (00-XX) 44 Dynamical systems and ergodic theory (37-XX) 36 Quantum theory (81-XX) 22 Difference and functional equations (39-XX) 12 Functional analysis (46-XX) 9 Real functions (26-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Computer science (68-XX) 6 Measure and integration (28-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Functions of a complex variable (30-XX) 4 History and biography (01-XX) 4 Combinatorics (05-XX) 4 Algebraic geometry (14-XX) 4 Special functions (33-XX) 4 Biology and other natural sciences (92-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Probability theory and stochastic processes (60-XX) 3 Statistics (62-XX) 3 Mechanics of particles and systems (70-XX) 3 Mechanics of deformable solids (74-XX) 3 Fluid mechanics (76-XX) 3 Systems theory; control (93-XX) 3 Information and communication theory, circuits (94-XX) 2 Number theory (11-XX) 2 Numerical analysis (65-XX) 2 Optics, electromagnetic theory (78-XX) 1 Group theory and generalizations (20-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematics education (97-XX)

### Citations contained in zbMATH Open

121 Publications have been cited 1,953 times in 1,231 Documents Cited by Year
Jacobi operators and completely integrable nonlinear lattices. Zbl 1056.39029
Teschl, Gerald
2000
Ordinary differential equations and dynamical systems. Zbl 1263.34002
Teschl, Gerald
2012
Long-time asymptotics for the Camassa-Holm equation. Zbl 1204.37073
Boutet De Monvel, Anne; Kostenko, Aleksey; Shepelsky, Dmitry; Teschl, Gerald
2009
Mathematical methods in quantum mechanics. With applications to Schrödinger operators. Zbl 1166.81004
Teschl, Gerald
2009
Long-time asymptotics for the Korteweg-de Vries equation via nonlinear steepest descent. Zbl 1179.37098
Grunert, Katrin; Teschl, Gerald
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
2008
Mathematical methods in quantum mechanics. With applications to Schrödinger operators. 2nd ed. Zbl 1342.81003
Teschl, Gerald
2014
Weyl-Titchmarsh theory for Sturm-Liouville operators with distributional potentials. Zbl 1283.34022
Eckhardt, Jonathan; Gesztesy, Fritz; Nichols, Roger; Teschl, Gerald
2013
Weyl-Titchmarsh theory for Schrödinger operators with strongly singular potentials. Zbl 1248.34027
Kostenko, Aleksey; Sakhnovich, Alexander; Teschl, Gerald
2012
Uniqueness for inverse Sturm-Liouville problems with a finite number of transmission conditions. Zbl 1251.34025
Shahriari, Mohammad; Akbarfam, Aliasghar Jodayree; Teschl, Gerald
2012
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.
1998
On the double commutation method. Zbl 0855.34028
Gesztesy, F.; Teschl, G.
1996
Sturm-Liouville operators with measure-valued coefficients. Zbl 1315.34001
Eckhardt, Jonathan; Teschl, Gerald
2013
Spectral theory for perturbed Krein Laplacians in nonsmooth domains. Zbl 1191.35188
Ashbaugh, Mark S.; Gesztesy, Fritz; Mitrea, Marius; Teschl, Gerald
2010
Inverse eigenvalue problems for perturbed spherical Schrödinger operators. Zbl 1227.34023
Kostenko, Aleksey; Sakhnovich, Alexander; Teschl, Gerald
2010
Long-time asymptotics for the Korteweg-de Vries equation with step-like initial data. Zbl 1320.35308
Egorova, Iryna; Gladka, Zoya; Kotlyarov, Volodymyr; Teschl, Gerald
2013
Relative oscillation theory, weighted zeros of the Wronskian, and the spectral shift function. Zbl 1186.47009
Krüger, Helge; Teschl, Gerald
2009
On the singular Weyl-Titchmarsh function of perturbed spherical Schrödinger operators. Zbl 1219.34037
Kostenko, Aleksey; Teschl, Gerald
2011
Zeros of the Wronskian and renormalized oscillation theory. Zbl 0858.47027
Gesztesy, F.; Simon, B.; Teschl, G.
1996
Effective Prüfer angles and relative oscillation criteria. Zbl 1167.34009
Krüger, Helge; Teschl, Gerald
2008
On Fourier transforms of radial functions and distributions. Zbl 1311.42020
Grafakos, Loukas; Teschl, Gerald
2013
Long-time asymptotics of the Toda lattice for decaying initial data revisited. Zbl 1173.37057
Krüger, Helge; Teschl, Gerald
2009
Oscillation theory and renormalized oscillation theory for Jacobi operators. Zbl 0866.39002
Teschl, Gerald
1996
Relative oscillation theory for Sturm-Liouville operators extended. Zbl 1144.34014
Krüger, Helge; Teschl, Gerald
2008
On the Cauchy problem for the Korteweg-de Vries equation with steplike finite-gap initial data: I. Schwartz-type perturbations. Zbl 1171.35103
Egorova, Iryna; Grunert, Katrin; Teschl, Gerald
2009
Dispersion estimates for one-dimensional discrete Schrödinger and wave equations. Zbl 1332.35313
Egorova, Iryna; Kopylova, Elena; Teschl, Gerald
2015
Rarefaction waves of the Korteweg-de Vries equation via nonlinear steepest descent. Zbl 1377.37107
Andreiev, Kyrylo; Egorova, Iryna; Lange, Till Luc; Teschl, Gerald
2016
Commutation methods for Schrödinger operators with strongly singular potentials. Zbl 1250.34069
Kostenko, Aleksey; Sakhnovich, Alexander; Teschl, Gerald
2012
Spectral deformations of one-dimensional Schrödinger operators. Zbl 0951.34061
Gesztesy, F.; Simon, B.; Teschl, G.
1996
Long-time asymptotics for the Toda lattice in the soliton region. Zbl 1198.37104
Krüger, Helge; Teschl, Gerald
2009
On isospectral sets of Jacobi operators. Zbl 0881.58069
Gesztesy, F.; Krishna, M.; Teschl, G.
1996
Global weak solutions of the relativistic Vlasov-Klein-Gordon system. Zbl 1033.81028
Kunzinger, Michael; Rein, Gerhard; Steinbauer, Roland; Teschl, Gerald
2003
Inverse spectral theory for Sturm-Liouville operators with distributional potentials. Zbl 1302.34127
Eckhardt, Jonathan; Gesztesy, Fritz; Nichols, Roger; Teschl, Gerald
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
2013
Commutation methods for Jacobi operators. Zbl 0854.34079
Gesztesy, F.; Teschl, G.
1996
Supersymmetry and Schrödinger-type operators with distributional matrix-valued potentials. Zbl 1320.34116
Eckhardt, Jonathan; Gesztesy, Fritz; Nichols, Roger; Teschl, Gerald
2014
On the Cauchy problem for the Korteweg-de Vries equation with steplike finite-gap initial data. II: Perturbations with finite moments. Zbl 1314.35136
Egorova, Iryna; Teschl, Gerald
2011
Singular Weyl-Titchmarsh-Kodaira theory for one-dimensional Dirac operators. Zbl 1321.34111
Brunnhuber, Rainer; Eckhardt, Jonathan; Kostenko, Aleksey; Teschl, Gerald
2014
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
2010
Relative oscillation theory for Jacobi matrices. Zbl 1172.39001
Ammann, Kerstin; Teschl, Gerald
2009
Dispersion estimates for one-dimensional Schrödinger and Klein-Gordon equations revisited. Zbl 1353.35081
Egorova, I. E.; Kopylova, E. A.; Marchenko, V. A.; Teschl, G.
2016
Dispersion estimates for spherical Schrödinger equations: the effect of boundary conditions. Zbl 1360.35214
Holzleitner, Markus; Kostenko, Aleksey; Teschl, Gerald
2016
Almost everything you always wanted to know about the Toda equation. Zbl 1039.37058
Teschl, Gerald
2001
Deforming the point spectra of one-dimensional Dirac operators. Zbl 0899.34052
Teschl, Gerald
1998
Scattering theory for Jacobi operators with quasi-periodic background. Zbl 1115.39025
Egorova, Iryna; Michor, Johanna; Teschl, Gerald
2006
Spectral asymptotics for perturbed spherical Schrödinger operators and applications to quantum scattering. Zbl 1284.34130
Kostenko, Aleksey; Teschl, Gerald
2013
Uniqueness results for one-dimensional Schrödinger operators with purely discrete spectra. Zbl 1286.34022
Eckhardt, Jonathan; Teschl, Gerald
2013
On the approximation of isolated eigenvalues of ordinary differential operators. Zbl 1156.34076
Teschl, Gerald
2008
Sturm-Liouville operators on time scales. Zbl 1269.34096
Eckhardt, Jonathan; Teschl, Gerald
2012
Inverse scattering transform for the Toda hierarchy with quasi-periodic background. Zbl 1118.37034
Egorova, Iryna; Michor, Johanna; Teschl, Gerald
2007
Long-time asymptotics of the periodic Toda lattice under short-range perturbations. Zbl 1301.37055
Kamvissis, Spyridon; Teschl, Gerald
2012
One-dimensional Schrödinger operators with $$\delta'$$-interactions on Cantor-type sets. Zbl 1296.34174
Eckhardt, Jonathan; Kostenko, Aleksey; Malamud, Mark; Teschl, Gerald
2014
On the isospectral problem of the dispersionless Camassa-Holm equation. Zbl 1279.37046
Eckhardt, Jonathan; Teschl, Gerald
2013
Renormalized oscillation theory for Dirac operators. Zbl 0894.34080
Teschl, Gerald
1998
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
2015
Inverse scattering theory for one-dimensional Schrödinger operators with steplike finite-gap potentials. Zbl 1175.47009
Boutet De Monvel, Anne; Egorova, Iryna; Teschl, Gerald
2008
Spectral asymptotics for canonical systems. Zbl 1403.35189
Eckhardt, Jonathan; Kostenko, Aleksey; Teschl, Gerald
2018
Book review of: S. Weinberg, Lectures on quantum mechanics. Zbl 1335.00099
Teschl, G.
2014
Abstract wave equations and associated Dirac-type operators. Zbl 1262.35174
Gesztesy, Fritz; Goldstein, Jerome A.; Holden, Helge; Teschl, Gerald
2012
On the substitution rule for Lebesgue-Stieltjes integrals. Zbl 1259.26008
Falkner, Neil; Teschl, Gerald
2012
Trace formulas and inverse spectral theory for Jacobi operators. Zbl 0914.39018
Teschl, Gerald
1998
Stability of periodic soliton equations under short range perturbations. Zbl 1203.35226
Kamvissis, Spyridon; Teschl, Gerald
2007
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
2016
Dispersion estimates for one-dimensional discrete Dirac equations. Zbl 1330.35366
Kopylova, Elena; Teschl, Gerald
2016
The KdV hierarchy and associated trace formulas. Zbl 0865.35116
Gesztesy, F.; Ratnaseelan, R.; Teschl, G.
1996
On the finiteness of the number of eigenvalues of Jacobi operators below the essential spectrum. Zbl 1049.39027
Luef, Franz; Teschl, Gerald
2004
Soliton solutions of the Toda hierarchy on quasi-periodic backgrounds revisited. Zbl 1166.37028
Egorova, Iryna; Michor, Johanna; Teschl, Gerald
2009
Scattering theory for Jacobi operators with a steplike quasi-periodic background. Zbl 1152.47023
Egorova, Iryna; Michor, Johanna; Teschl, Gerald
2007
On classical solutions of the relativistic Vlasov-Klein-Gordon system. Zbl 1080.35162
Kunzinger, Michael; Rein, Gerhard; Steinbauer, Roland; Teschl, Gerald
2005
Jacobi polynomials, Bernstein-type inequalities and dispersion estimates for the discrete Laguerre operator. Zbl 1405.33012
Koornwinder, Tom; Kostenko, Aleksey; Teschl, Gerald
2018
Inverse scattering transform for the Toda hierarchy. Zbl 1120.37315
Teschl, Gerald
1999
Local conservation laws and the Hamiltonian formalism for the Ablowitz-Ladik hierarchy. Zbl 1193.37092
Gesztesy, Fritz; Holden, Helge; Michor, Johanna; Teschl, Gerald
2008
Stability of the periodic Toda lattice in the soliton region. Zbl 1185.37168
Krüger, Helge; Teschl, Gerald
2009
On the spatial asymptotics of solutions of the Toda lattice. Zbl 1201.37101
Teschl, Gerald
2010
Dispersion estimates for spherical Schrödinger equations. Zbl 1360.34175
Kostenko, Aleksey; Teschl, Gerald; Toloza, Julio H.
2016
Long-time asymptotics of perturbed finite-gap Korteweg-de Vries solutions. Zbl 1308.35252
Mikikits-Leitner, Alice; Teschl, Gerald
2012
Trace formulas for Jacobi operators in connection with scattering theory for quasi-periodic background. Zbl 1133.47024
Michor, Johanna; Teschl, Gerald
2007
On the Toda and Kac-van Moerbeke hierarchies. Zbl 0935.37045
Teschl, Gerald
1999
Bound states of discrete Schrödinger operators with super-critical inverse square potentials. Zbl 1110.47019
Damanik, David; Teschl, Gerald
2007
The algebro-geometric Toda hierarchy initial value problem for complex-valued initial data. Zbl 1143.37045
Gesztesy, Fritz; Holden, Helge; Teschl, Gerald
2008
On the absolutely continuous spectrum of Sturm-Liouville operators with applications to radial quantum trees. Zbl 1197.34042
Schmied, Michael; Sims, Robert; Teschl, Gerald
2008
Inverse scattering transform for the Toda hierarchy with steplike finite-gap backgrounds. Zbl 1283.37067
Egorova, Iryna; Michor, Johanna; Teschl, Gerald
2009
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
2017
On the form of dispersive shock waves of the Korteweg-de Vries equation. Zbl 1361.37063
Egorova, I.; Gladka, Z.; Teschl, G.
2016
Dispersion estimates for the discrete Laguerre operator. Zbl 1334.35265
Kostenko, Aleksey; Teschl, Gerald
2016
Unique continuation for discrete nonlinear wave equations. Zbl 1246.35118
Krüger, Helge; Teschl, Gerald
2012
Algebro-geometric constraints on solitons with respect to quasi-periodic backgrounds. Zbl 1131.34012
Teschl, Gerald
2007
On the equivalence of different Lax pairs for the Kac-van Moerbeke hierarchy. Zbl 1177.37072
Michor, Johanna; Teschl, Gerald
2009
Scattering theory for Jacobi operators with general step-like quasiperiodic background. Zbl 1177.47038
Egorova, I.; Michor, J.; Teschl, G.
2008
On spectral deformations and singular Weyl functions for one-dimensional Dirac operators. Zbl 1305.81076
Beigl, Alexander; Eckhardt, Jonathan; Kostenko, Aleksey; Teschl, Gerald
2015
The Ablowitz-Ladik hierarchy revisited. Zbl 1160.37028
Gesztesy, Fritz; Holden, Helge; Michor, Johanna; Teschl, Gerald
2009
Relative oscillation theory for Dirac operators. Zbl 1205.47006
2010
Rarefaction waves for the Toda equation via nonlinear steepest descent. Zbl 1394.37106
Egorova, Iryna; Michor, Johanna; Teschl, Gerald
2018
A dynamic uncertainty principle for Jacobi operators. Zbl 1360.35213
Alvarez-Romero, Isaac; Teschl, Gerald
2017
Long-time asymptotics for the Toda shock problem: non-overlapping spectra. Zbl 1422.37052
Egorova, Iryna; Michor, Johanna; Teschl, Gerald
2018
Scattering theory with finite-gap backgrounds: transformation operators and characteristic properties of scattering data. Zbl 1279.47045
Egorova, Iryna; Michor, Johanna; Teschl, Gerald
2013
A coupling problem for entire functions and its application to the long-time asymptotics of integrable wave equations. Zbl 1338.37106
Eckhardt, Jonathan; Teschl, Gerald
2016
Singular Weyl-Titchmarsh-Kodaira theory for Jacobi operators. Zbl 1295.47032
Eckhardt, Jonathan; Teschl, Gerald
2013
Inverse uniqueness results for one-dimensional weighted Dirac operators. Zbl 1320.34117
Eckhardt, Jonathan; Kostenko, Aleksey; Teschl, Gerald
2014
Algebro-geometric finite-band solutions of the Ablowitz-Ladik hierarchy. Zbl 1137.37033
Gesztesy, Fritz; Holden, Helge; Michor, Johanna; Teschl, Gerald
2007
Book review of: B. Guo et al., Rogue waves. Mathematical theory and applications in physics. Zbl 1425.00060
Teschl, G.
2019
Spectral asymptotics for canonical systems. Zbl 1403.35189
Eckhardt, Jonathan; Kostenko, Aleksey; Teschl, Gerald
2018
Jacobi polynomials, Bernstein-type inequalities and dispersion estimates for the discrete Laguerre operator. Zbl 1405.33012
Koornwinder, Tom; Kostenko, Aleksey; Teschl, Gerald
2018
Rarefaction waves for the Toda equation via nonlinear steepest descent. Zbl 1394.37106
Egorova, Iryna; Michor, Johanna; Teschl, Gerald
2018
Long-time asymptotics for the Toda shock problem: non-overlapping spectra. Zbl 1422.37052
Egorova, Iryna; Michor, Johanna; Teschl, Gerald
2018
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
2017
A dynamic uncertainty principle for Jacobi operators. Zbl 1360.35213
Alvarez-Romero, Isaac; Teschl, Gerald
2017
On uniqueness properties of solutions of the Toda and Kac-van Moerbeke hierarchies. Zbl 1360.37162
Alvarez-Romero, Isaac; Teschl, Gerald
2017
Book review of: M. Rao et al., Complex analysis. An invitation. 2nd ed. Zbl 1362.00020
Teschl, G.
2017
Rarefaction waves of the Korteweg-de Vries equation via nonlinear steepest descent. Zbl 1377.37107
Andreiev, Kyrylo; Egorova, Iryna; Lange, Till Luc; Teschl, Gerald
2016
Dispersion estimates for one-dimensional Schrödinger and Klein-Gordon equations revisited. Zbl 1353.35081
Egorova, I. E.; Kopylova, E. A.; Marchenko, V. A.; Teschl, G.
2016
Dispersion estimates for spherical Schrödinger equations: the effect of boundary conditions. Zbl 1360.35214
Holzleitner, Markus; Kostenko, Aleksey; Teschl, Gerald
2016
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
2016
Dispersion estimates for one-dimensional discrete Dirac equations. Zbl 1330.35366
Kopylova, Elena; Teschl, Gerald
2016
Dispersion estimates for spherical Schrödinger equations. Zbl 1360.34175
Kostenko, Aleksey; Teschl, Gerald; Toloza, Julio H.
2016
On the form of dispersive shock waves of the Korteweg-de Vries equation. Zbl 1361.37063
Egorova, I.; Gladka, Z.; Teschl, G.
2016
Dispersion estimates for the discrete Laguerre operator. Zbl 1334.35265
Kostenko, Aleksey; Teschl, Gerald
2016
A coupling problem for entire functions and its application to the long-time asymptotics of integrable wave equations. Zbl 1338.37106
Eckhardt, Jonathan; Teschl, Gerald
2016
Properties of the scattering matrix and dispersion estimates for Jacobi operators. Zbl 1336.47031
Egorova, Iryna; Holzleitner, Markus; Teschl, Gerald
2016
The Camassa-Holm equation and the string density problem. Zbl 1362.35099
Eckhardt, Jonathan; Kostenko, Aleksey; Teschl, Gerald
2016
Asymptotics of the Weyl function for Schrödinger operators with measure-valued potentials. Zbl 1343.34070
Luger, Annemarie; Teschl, Gerald; Wöhrer, Tobias
2016
Dispersion estimates for one-dimensional discrete Schrödinger and wave equations. Zbl 1332.35313
Egorova, Iryna; Kopylova, Elena; Teschl, Gerald
2015
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
2015
On spectral deformations and singular Weyl functions for one-dimensional Dirac operators. Zbl 1305.81076
Beigl, Alexander; Eckhardt, Jonathan; Kostenko, Aleksey; Teschl, Gerald
2015
Inverse scattering theory for Schrödinger operators with steplike potentials. Zbl 1333.34127
Egorova, I.; Gladka, Z.; Lange, T. L.; Teschl, G.
2015
Singular Schrödinger operators as self-adjoint extensions of $$N$$-entire operators. Zbl 1330.34138
Silva, Luis O.; Teschl, Gerald; Toloza, Julio H.
2015
Zero energy scattering for one-dimensional Schrödinger operators and applications to dispersive estimates. Zbl 1343.34197
Egorova, Iryna; Holzleitner, Markus; Teschl, Gerald
2015
Mathematical methods in quantum mechanics. With applications to Schrödinger operators. 2nd ed. Zbl 1342.81003
Teschl, Gerald
2014
Supersymmetry and Schrödinger-type operators with distributional matrix-valued potentials. Zbl 1320.34116
Eckhardt, Jonathan; Gesztesy, Fritz; Nichols, Roger; Teschl, Gerald
2014
Singular Weyl-Titchmarsh-Kodaira theory for one-dimensional Dirac operators. Zbl 1321.34111
Brunnhuber, Rainer; Eckhardt, Jonathan; Kostenko, Aleksey; Teschl, Gerald
2014
One-dimensional Schrödinger operators with $$\delta'$$-interactions on Cantor-type sets. Zbl 1296.34174
Eckhardt, Jonathan; Kostenko, Aleksey; Malamud, Mark; Teschl, Gerald
2014
Book review of: S. Weinberg, Lectures on quantum mechanics. Zbl 1335.00099
Teschl, G.
2014
Inverse uniqueness results for one-dimensional weighted Dirac operators. Zbl 1320.34117
Eckhardt, Jonathan; Kostenko, Aleksey; Teschl, Gerald
2014
Weyl-Titchmarsh theory for Sturm-Liouville operators with distributional potentials. Zbl 1283.34022
Eckhardt, Jonathan; Gesztesy, Fritz; Nichols, Roger; Teschl, Gerald
2013
Sturm-Liouville operators with measure-valued coefficients. Zbl 1315.34001
Eckhardt, Jonathan; Teschl, Gerald
2013
Long-time asymptotics for the Korteweg-de Vries equation with step-like initial data. Zbl 1320.35308
Egorova, Iryna; Gladka, Zoya; Kotlyarov, Volodymyr; Teschl, Gerald
2013
On Fourier transforms of radial functions and distributions. Zbl 1311.42020
Grafakos, Loukas; Teschl, Gerald
2013
Inverse spectral theory for Sturm-Liouville operators with distributional potentials. Zbl 1302.34127
Eckhardt, Jonathan; Gesztesy, Fritz; Nichols, Roger; Teschl, Gerald
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
2013
Spectral asymptotics for perturbed spherical Schrödinger operators and applications to quantum scattering. Zbl 1284.34130
Kostenko, Aleksey; Teschl, Gerald
2013
Uniqueness results for one-dimensional Schrödinger operators with purely discrete spectra. Zbl 1286.34022
Eckhardt, Jonathan; Teschl, Gerald
2013
On the isospectral problem of the dispersionless Camassa-Holm equation. Zbl 1279.37046
Eckhardt, Jonathan; Teschl, Gerald
2013
Scattering theory with finite-gap backgrounds: transformation operators and characteristic properties of scattering data. Zbl 1279.47045
Egorova, Iryna; Michor, Johanna; Teschl, Gerald
2013
Singular Weyl-Titchmarsh-Kodaira theory for Jacobi operators. Zbl 1295.47032
Eckhardt, Jonathan; Teschl, Gerald
2013
Spectral theory as influenced by Fritz Gesztesy. Zbl 1345.35066
Teschl, Gerald; Unterkofler, Karl
2013
Ordinary differential equations and dynamical systems. Zbl 1263.34002
Teschl, Gerald
2012
Weyl-Titchmarsh theory for Schrödinger operators with strongly singular potentials. Zbl 1248.34027
Kostenko, Aleksey; Sakhnovich, Alexander; Teschl, Gerald
2012
Uniqueness for inverse Sturm-Liouville problems with a finite number of transmission conditions. Zbl 1251.34025
Shahriari, Mohammad; Akbarfam, Aliasghar Jodayree; Teschl, Gerald
2012
Commutation methods for Schrödinger operators with strongly singular potentials. Zbl 1250.34069
Kostenko, Aleksey; Sakhnovich, Alexander; Teschl, Gerald
2012
Sturm-Liouville operators on time scales. Zbl 1269.34096
Eckhardt, Jonathan; Teschl, Gerald
2012
Long-time asymptotics of the periodic Toda lattice under short-range perturbations. Zbl 1301.37055
Kamvissis, Spyridon; Teschl, Gerald
2012
Abstract wave equations and associated Dirac-type operators. Zbl 1262.35174
Gesztesy, Fritz; Goldstein, Jerome A.; Holden, Helge; Teschl, Gerald
2012
On the substitution rule for Lebesgue-Stieltjes integrals. Zbl 1259.26008
Falkner, Neil; Teschl, Gerald
2012
Long-time asymptotics of perturbed finite-gap Korteweg-de Vries solutions. Zbl 1308.35252
Mikikits-Leitner, Alice; Teschl, Gerald
2012
Unique continuation for discrete nonlinear wave equations. Zbl 1246.35118
Krüger, Helge; Teschl, Gerald
2012
On the connection between the Hilger and Radon-Nikodym derivatives. Zbl 1242.26046
Eckhardt, Jonathan; Teschl, Gerald
2012
Lieb-Robinson bounds for the Toda lattice. Zbl 1269.82035
Islambekov, Umar; Sims, Robert; Teschl, Gerald
2012
Book review of: J. Krieger and W. Schlag, Concentration compactness for critical wave maps. Zbl 1291.00044
Teschl, G.
2012
On the singular Weyl-Titchmarsh function of perturbed spherical Schrödinger operators. Zbl 1219.34037
Kostenko, Aleksey; Teschl, Gerald
2011
On the Cauchy problem for the Korteweg-de Vries equation with steplike finite-gap initial data. II: Perturbations with finite moments. Zbl 1314.35136
Egorova, Iryna; Teschl, Gerald
2011
A mathematical model for breath gas analysis of volatile organic compounds with special emphasis on acetone. Zbl 1311.92104
King, Julian; Unterkofler, Karl; Teschl, Gerald; Teschl, Susanne; Koc, Helin; Hinterhuber, Hartmann; Amann, Anton
2011
Trace formulas for Schrödinger operators in connection with scattering theory for finite-gap backgrounds. Zbl 1259.34089
Mikikits-Leitner, Alice; Teschl, Gerald
2011
Spectral theory for perturbed Krein Laplacians in nonsmooth domains. Zbl 1191.35188
Ashbaugh, Mark S.; Gesztesy, Fritz; Mitrea, Marius; Teschl, Gerald
2010
Inverse eigenvalue problems for perturbed spherical Schrödinger operators. Zbl 1227.34023
Kostenko, Aleksey; Sakhnovich, Alexander; Teschl, Gerald
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
2010
On the spatial asymptotics of solutions of the Toda lattice. Zbl 1201.37101
Teschl, Gerald
2010
Relative oscillation theory for Dirac operators. Zbl 1205.47006
2010
The algebro-geometric initial value problem for the Ablowitz-Ladik hierarchy. Zbl 1178.37074
Gesztesy, Fritz; Holden, Helge; Michor, Johanna; Teschl, Gerald
2010
On the Cauchy problem for the modified Korteweg-de Vries equation with steplike finite-gap initial data. Zbl 1211.35238
Egorova, Iryna; Teschl, Gerald
2010
A Paley-Wiener theorem for periodic scattering with applications to the Korteweg-de Vries equation. Zbl 1210.34126
Egorova, I.; Teschl, G.
2010
Long-time asymptotics for the Camassa-Holm equation. Zbl 1204.37073
Boutet De Monvel, Anne; Kostenko, Aleksey; Shepelsky, Dmitry; Teschl, Gerald
2009
Mathematical methods in quantum mechanics. With applications to Schrödinger operators. Zbl 1166.81004
Teschl, Gerald
2009
Long-time asymptotics for the Korteweg-de Vries equation via nonlinear steepest descent. Zbl 1179.37098
Grunert, Katrin; Teschl, Gerald
2009
Relative oscillation theory, weighted zeros of the Wronskian, and the spectral shift function. Zbl 1186.47009
Krüger, Helge; Teschl, Gerald
2009
Long-time asymptotics of the Toda lattice for decaying initial data revisited. Zbl 1173.37057
Krüger, Helge; Teschl, Gerald
2009
On the Cauchy problem for the Korteweg-de Vries equation with steplike finite-gap initial data: I. Schwartz-type perturbations. Zbl 1171.35103
Egorova, Iryna; Grunert, Katrin; Teschl, Gerald
2009
Long-time asymptotics for the Toda lattice in the soliton region. Zbl 1198.37104
Krüger, Helge; Teschl, Gerald
2009
Relative oscillation theory for Jacobi matrices. Zbl 1172.39001
Ammann, Kerstin; Teschl, Gerald
2009
Soliton solutions of the Toda hierarchy on quasi-periodic backgrounds revisited. Zbl 1166.37028
Egorova, Iryna; Michor, Johanna; Teschl, Gerald
2009
Stability of the periodic Toda lattice in the soliton region. Zbl 1185.37168
Krüger, Helge; Teschl, Gerald
2009
Inverse scattering transform for the Toda hierarchy with steplike finite-gap backgrounds. Zbl 1283.37067
Egorova, Iryna; Michor, Johanna; Teschl, Gerald
2009
On the equivalence of different Lax pairs for the Kac-van Moerbeke hierarchy. Zbl 1177.37072
Michor, Johanna; Teschl, Gerald
2009
The Ablowitz-Ladik hierarchy revisited. Zbl 1160.37028
Gesztesy, Fritz; Holden, Helge; Michor, Johanna; Teschl, Gerald
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
2008
Effective Prüfer angles and relative oscillation criteria. Zbl 1167.34009
Krüger, Helge; Teschl, Gerald
2008
Relative oscillation theory for Sturm-Liouville operators extended. Zbl 1144.34014
Krüger, Helge; Teschl, Gerald
2008
On the approximation of isolated eigenvalues of ordinary differential operators. Zbl 1156.34076
Teschl, Gerald
2008
Inverse scattering theory for one-dimensional Schrödinger operators with steplike finite-gap potentials. Zbl 1175.47009
Boutet De Monvel, Anne; Egorova, Iryna; Teschl, Gerald
2008
Local conservation laws and the Hamiltonian formalism for the Ablowitz-Ladik hierarchy. Zbl 1193.37092
Gesztesy, Fritz; Holden, Helge; Michor, Johanna; Teschl, Gerald
2008
The algebro-geometric Toda hierarchy initial value problem for complex-valued initial data. Zbl 1143.37045
Gesztesy, Fritz; Holden, Helge; Teschl, Gerald
2008
On the absolutely continuous spectrum of Sturm-Liouville operators with applications to radial quantum trees. Zbl 1197.34042
Schmied, Michael; Sims, Robert; Teschl, Gerald
2008
Scattering theory for Jacobi operators with general step-like quasiperiodic background. Zbl 1177.47038
Egorova, I.; Michor, J.; Teschl, G.
2008
Inverse scattering transform for the Toda hierarchy with quasi-periodic background. Zbl 1118.37034
Egorova, Iryna; Michor, Johanna; Teschl, Gerald
2007
Stability of periodic soliton equations under short range perturbations. Zbl 1203.35226
Kamvissis, Spyridon; Teschl, Gerald
2007
Scattering theory for Jacobi operators with a steplike quasi-periodic background. Zbl 1152.47023
Egorova, Iryna; Michor, Johanna; Teschl, Gerald
2007
Trace formulas for Jacobi operators in connection with scattering theory for quasi-periodic background. Zbl 1133.47024
Michor, Johanna; Teschl, Gerald
2007
Bound states of discrete Schrödinger operators with super-critical inverse square potentials. Zbl 1110.47019
Damanik, David; Teschl, Gerald
2007
Algebro-geometric constraints on solitons with respect to quasi-periodic backgrounds. Zbl 1131.34012
Teschl, Gerald
2007
Algebro-geometric finite-band solutions of the Ablowitz-Ladik hierarchy. Zbl 1137.37033
Gesztesy, Fritz; Holden, Helge; Michor, Johanna; Teschl, Gerald
2007
Mathematics for computer scientists. Vol. II: Analysis and statistics. 2nd ed. (Mathematik für Informatiker. Band II: Analysis und Statistik.) Zbl 1169.68301
Teschl, Gerald; Teschl, Susanne
2007
...and 21 more Documents
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### Cited by 1,481 Authors

 62 Teschl, Gerald 38 Gesztesy, Fritz 30 Sakhnovich, Alexander L. 24 Geng, Xianguo 22 Kostenko, Aleksey S. 18 Eckhardt, Jonathan 16 Fan, Engui 14 Damanik, David 14 Egorova, Iryna 13 Silva, Luis O. 13 Vesely, Michal 12 Behrndt, Jussi 12 Hasil, Petr 12 Lotoreichik, Vladimir 11 Boutet de Monvel, Anne Marie 11 Michor, Johanna 10 Elyseeva, Julia V. 10 Krüger, Helge 10 Remling, Christian 10 Shepelsky, Dmitry 10 Simon, Barry 9 Došlý, Ondřej 9 Korotyaev, Evgeny L. 9 Ma, Shiwang 9 Toloza, Julio H. 9 Ugurlu, Ekin 9 Yin, Zhaoyang 9 Zhou, Zhan 8 Malamud, Mark M. 8 Štampach, František 7 Chen, Guanwei 7 Exner, Pavel 7 Fritzsche, Bernd 7 Kirstein, Bernd 7 Shi, Guoliang 7 Yang, Chuanfu 7 Yu, Jian-She 7 Yuditskii, Peter Meerovich 7 Zemánek, Petr 7 Zeng, Xin 7 Zinchenko, Maxim 6 Brown, B. Malcolm 6 Daudé, Thierry 6 Donninger, Roland 6 Fillman, Jake 6 Golinskii, Leonid Borisovich 6 Holden, Helge 6 Liu, Genqian 6 Minakov, Alexander 6 Mitrea, Marius 6 Nichols, Roger 6 Nicoleau, François 6 Ong, Darren C. 6 Pelinovsky, Dmitry Efimovich 6 Qiao, Zhijun 6 Rybkin, Alexei 6 Shi, Yuming 6 Šimon Hilscher, Roman 6 Trogdon, Thomas 6 Weikard, Rudi 6 Zhao, Peng 5 Bondarenko, Natalia P. 5 Carvalho, Silas L. 5 Chen, Mingming 5 Currie, Sonja 5 Estrada, Ricardo 5 Guo, Boling 5 Hryniv, Rostyslav O. 5 Kamran, Niky 5 Khanmamedov, Agil Khanmamed ogly 5 Kopylova, Elena A. 5 Kravchenko, Vladislav V. 5 Liu, Yan 5 Mosazadeh, Seyfollah 5 Shi, Haiping 5 Sukhtaiev, Selim 5 Wang, Kedong 5 Wei, Guangsheng 5 Wei, Jiao 5 Xu, Jian 5 Xue, Bo 5 Yan, Jun 5 Zheng, Rudong 4 Albeverio, Sergio A. 4 Alvarez-Romero, Isaac 4 Becker, Simon 4 Bilman, Deniz 4 Binder, Ilia A. 4 Breuer, Jonathan 4 Christiansen, Jacob Stordal 4 de Oliveira, César R. 4 Geyer, Anna 4 Holzleitner, Markus 4 Howard, Peter 4 Jitomirskaya, Svetlana Yakovlevna 4 Killip, Rowan 4 Kutsenko, Anton A. 4 Landon, Benjamin A. 4 Langer, Matthias 4 Lee, Ho ...and 1,381 more Authors
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### Cited in 290 Serials

 73 Journal of Mathematical Analysis and Applications 69 Journal of Differential Equations 56 Journal of Mathematical Physics 40 Communications in Mathematical Physics 29 Journal of Functional Analysis 28 Annales Henri Poincaré 23 Integral Equations and Operator Theory 21 Applied Mathematics and Computation 21 Proceedings of the American Mathematical Society 20 Advances in Difference Equations 19 Advances in Mathematics 18 Monatshefte für Mathematik 16 Transactions of the American Mathematical Society 16 Linear Algebra and its Applications 15 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 14 Mathematische Nachrichten 14 Applied Mathematics Letters 13 Applicable Analysis 13 Journal d’Analyse Mathématique 13 Letters in Mathematical Physics 13 ZAMP. Zeitschrift für angewandte Mathematik und Physik 13 Physica D 13 Journal of Spectral Theory 13 Analysis and Mathematical Physics 11 Journal of Approximation Theory 11 Journal of Difference Equations and Applications 11 Discrete and Continuous Dynamical Systems 11 Abstract and Applied Analysis 11 Mathematical Physics, Analysis and Geometry 11 Journal of Nonlinear Mathematical Physics 10 Mathematical Notes 10 Nonlinearity 10 Reviews in Mathematical Physics 10 Complex Analysis and Operator Theory 9 Journal of Computational and Applied Mathematics 9 Boundary Value Problems 8 Mathematical Methods in the Applied Sciences 8 Constructive Approximation 8 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 7 Inverse Problems 7 Turkish Journal of Mathematics 7 Differential Equations 6 Journal of Statistical Physics 6 Theoretical and Mathematical Physics 6 Ukrainian Mathematical Journal 6 Journal of Nonlinear Science 6 Journal of Physics A: Mathematical and Theoretical 6 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 5 Archive for Rational Mechanics and Analysis 5 Physics Letters. A 5 Mathematische Annalen 5 Numerische Mathematik 5 Results in Mathematics 5 Acta Applicandae Mathematicae 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Stochastic Processes and their Applications 5 Calculus of Variations and Partial Differential Equations 5 Russian Journal of Mathematical Physics 5 Opuscula Mathematica 5 The Journal of Fourier Analysis and Applications 5 Chaos 5 Operators and Matrices 5 Science China. Mathematics 4 Reports on Mathematical Physics 4 Chaos, Solitons and Fractals 4 Journal of Geometry and Physics 4 Annales de l’Institut Fourier 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Automatica 4 Inventiones Mathematicae 4 Studies in Applied Mathematics 4 The Journal of Geometric Analysis 4 Journal of Dynamics and Differential Equations 4 Journal of Mathematical Sciences (New York) 4 Doklady Mathematics 4 Journal of Mathematical Fluid Mechanics 4 Communications in Nonlinear Science and Numerical Simulation 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Advances in Mathematical Physics 3 Indian Journal of Pure & Applied Mathematics 3 Journal of Fluid Mechanics 3 Journal of Mathematical Biology 3 Linear and Multilinear Algebra 3 Quaestiones Mathematicae 3 Theoretical Computer Science 3 Transactions of the Moscow Mathematical Society 3 Acta Mathematicae Applicatae Sinica. English Series 3 Annals of Physics 3 SIAM Journal on Mathematical Analysis 3 Indagationes Mathematicae. New Series 3 Differential Equations and Dynamical Systems 3 Inverse Problems in Science and Engineering 2 Modern Physics Letters A 2 American Mathematical Monthly 2 International Journal of Theoretical Physics 2 Mathematical Biosciences 2 Rocky Mountain Journal of Mathematics 2 Acta Mathematica 2 BIT 2 Demonstratio Mathematica ...and 190 more Serials
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### Cited in 53 Fields

 475 Partial differential equations (35-XX) 390 Ordinary differential equations (34-XX) 343 Operator theory (47-XX) 252 Dynamical systems and ergodic theory (37-XX) 184 Quantum theory (81-XX) 141 Difference and functional equations (39-XX) 67 Numerical analysis (65-XX) 55 Statistical mechanics, structure of matter (82-XX) 49 Functional analysis (46-XX) 47 Probability theory and stochastic processes (60-XX) 45 Special functions (33-XX) 42 Harmonic analysis on Euclidean spaces (42-XX) 40 Linear and multilinear algebra; matrix theory (15-XX) 34 Global analysis, analysis on manifolds (58-XX) 31 Fluid mechanics (76-XX) 29 Differential geometry (53-XX) 28 Systems theory; control (93-XX) 25 Algebraic geometry (14-XX) 25 Calculus of variations and optimal control; optimization (49-XX) 24 Biology and other natural sciences (92-XX) 23 Approximations and expansions (41-XX) 20 Functions of a complex variable (30-XX) 19 Mechanics of deformable solids (74-XX) 18 Computer science (68-XX) 17 Mechanics of particles and systems (70-XX) 17 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 15 Combinatorics (05-XX) 15 Optics, electromagnetic theory (78-XX) 15 Relativity and gravitational theory (83-XX) 12 Real functions (26-XX) 9 Integral transforms, operational calculus (44-XX) 9 Integral equations (45-XX) 8 Measure and integration (28-XX) 8 Potential theory (31-XX) 8 Statistics (62-XX) 7 Number theory (11-XX) 7 Operations research, mathematical programming (90-XX) 7 Information and communication theory, circuits (94-XX) 5 Abstract harmonic analysis (43-XX) 5 Geophysics (86-XX) 4 Several complex variables and analytic spaces (32-XX) 3 Mathematical logic and foundations (03-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Nonassociative rings and algebras (17-XX) 2 Topological groups, Lie groups (22-XX) 2 Convex and discrete geometry (52-XX) 2 General topology (54-XX) 2 Manifolds and cell complexes (57-XX) 2 Astronomy and astrophysics (85-XX) 1 Algebraic topology (55-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Mathematics education (97-XX)

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