Edit Profile (opens in new tab) Gesztesy, Fritz Compute Distance To: Compute Author ID: 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 3,412 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 all top 5 Fields 155 Operator theory (47-XX) 128 Partial differential equations (35-XX) 112 Ordinary differential equations (34-XX) 55 Quantum theory (81-XX) 47 Dynamical systems and ergodic theory (37-XX) 22 Functional analysis (46-XX) 20 Global analysis, analysis on manifolds (58-XX) 12 Algebraic geometry (14-XX) 10 General and overarching topics; collections (00-XX) 8 Difference and functional equations (39-XX) 8 Probability theory and stochastic processes (60-XX) 7 Special functions (33-XX) 6 History and biography (01-XX) 6 Functions of a complex variable (30-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Number theory (11-XX) 4 Real functions (26-XX) 3 Approximations and expansions (41-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Integral equations (45-XX) 2 Combinatorics (05-XX) 2 Sequences, series, summability (40-XX) 2 Abstract harmonic analysis (43-XX) 2 Fluid mechanics (76-XX) 2 Optics, electromagnetic theory (78-XX) 2 Systems theory; control (93-XX) 1 Mathematical logic and foundations (03-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Mechanics of deformable solids (74-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 255 Publications have been cited 3,930 times in 2,259 Documents Cited by ▼ Year ▼ Solvable models in quantum mechanics. Zbl 0679.46057Albeverio, Sergio; Gesztesy, Friedrich; Høegh-Krohn, Raphael; Holden, Helge 328 1988 Solvable models in quantum mechanics. With an appendix by Pavel Exner. 2nd revised ed. Zbl 1078.81003Albeverio, Sergio; Gesztesy, Friedrich; Høegh-Krohn, Raphael; Holden, Helge 131 2005 Soliton equations and their algebro-geometric solutions. I: (1+1)-dimensional continuous models. Zbl 1061.37056Gesztesy, Fritz; Holden, Helge 128 2003 Inverse spectral analysis with partial information on the potential. II: The case of discrete spectrum. Zbl 0948.34060Gesztesy, Fritz; Simon, Barry 122 2000 On matrix-valued Herglotz functions. Zbl 0961.30027Gesztesy, Fritz; Tsekanovskii, Eduard 86 2000 Weakly coupled bound states in quantum waveguides. Zbl 0868.35080Bulla, W.; Gesztesy, F.; Renger, W.; Simon, B. 66 1997 Algebro-geometric solutions of the Camassa-Holm hierarchy. Zbl 1029.37049Gesztesy, Fritz; Holden, Helge 55 2003 On spectral theory for Schrödinger operators with strongly singular potentials. Zbl 1108.34063Gesztesy, Fritz; Zinchenko, Maxim 52 2006 Weyl-Titchmarsh \(M\)-function asymptotics, local uniqueness results, trace formulas, and Borg-type theorems for Dirac operators. Zbl 1017.34019Clark, Steve; Gesztesy, Fritz 52 2002 A description of all self-adjoint extensions of the Laplacian and Kreĭn-type resolvent formulas on non-smooth domains. Zbl 1231.47044Gesztesy, Fritz; Mitrea, Marius 51 2011 An alternative approach to algebro-geometric solutions of the AKNS hierarchy. Zbl 0974.35107Gesztesy, F.; Ratnaseelan, R. 49 1998 Soliton equations and their algebro-geometric solutions. Volume II. \((1+1)\)-dimensional discrete models. Zbl 1151.37056Gesztesy, Fritz; Holden, Helge; Michor, Johanna; Teschl, Gerald 49 2008 \(m\)-functions and inverse spectral analysis for finite and semi-infinite Jacobi matrices. Zbl 0924.15005Gesztesy, Fritz; Simon, Barry 48 1997 Generalized Robin boundary conditions, Robin-to-Dirichlet maps, and Krein-type resolvent formulas for Schrödinger operators on bounded Lipschitz domains. Zbl 1178.35147Gesztesy, Fritz; Mitrea, Marius 48 2008 A new approach to inverse spectral theory. II: General real potentials and the connection to the spectral measure. Zbl 0983.34013Gesztesy, Fritz; Simon, Barry 47 2000 Weyl-Titchmarsh theory for Sturm-Liouville operators with distributional potentials. Zbl 1283.34022Eckhardt, Jonathan; Gesztesy, Fritz; Nichols, Roger; Teschl, Gerald 44 2013 Algebro-geometric solutions of the Boussinesq hierarchy. Zbl 0971.35065Dickson, R.; Gesztesy, F.; Unterkofler, K. 41 1999 Nonselfadjoint operators, infinite determinants, and some applications. Zbl 1201.47028Gesztesy, F.; Latushkin, Y.; Mitrea, M.; Zinchenko, M. 38 2005 The \(\xi\) function. Zbl 0885.34070Gesztesy, Fritz; Simon, Barry 38 1996 Deficiency indices and singular boundary conditions in quantum mechanics. Zbl 0583.35029Bulla, W.; Gesztesy, F. 38 1985 On Weyl-Titchmarsh theory for singular finite difference Hamiltonian systems. Zbl 1065.39027Clark, Steve; Gesztesy, Fritz 37 2004 Picard potential and Hill’s equation on a torus. Zbl 0927.37040Gesztesy, Fritz; Weikard, Rudi 35 1996 Weyl–Titchmarsh theory for CMV operators associated with orthogonal polynomials on the unit circle. Zbl 1118.47023Gesztesy, Fritz; Zinchenko, Maxim 34 2006 Rank one perturbations at infinite coupling. Zbl 0828.47009Gesztesy, Fritz; Simon, Barry 34 1995 Algebro-geometric quasi-periodic finite-gap solutions of the Toda and Kac-van Moerbeke hierarchies. Zbl 0906.35099Bulla, W.; Gesztesy, F.; Holden, H.; Teschl, G. 32 1998 A new approach to the Boussinesq hierarchy. Zbl 0978.35049Dickson, Ronnie; Gesztesy, Fritz; Unterkofler, Karl 32 1999 On local Borg-Marchenko uniqueness results. Zbl 0985.34077Gesztesy, Fritz; Simon, Barry 31 2000 On the double commutation method. Zbl 0855.34028Gesztesy, F.; Teschl, G. 31 1996 Uniqueness results for matrix-valued Schrödinger, Jacobi, and Dirac-type operators. Zbl 1017.34020Gesztesy, Fritz; Kiselev, Alexander; Makarov, Konstantin A. 31 2002 A Schauder and Riesz basis criterion for non-self-adjoint Schrödinger operators with periodic and antiperiodic boundary conditions. Zbl 1251.34100Gesztesy, Fritz; Tkachenko, Vadim 30 2012 Algebro-geometric solutions of the Baxter-Szegő difference equation. Zbl 1080.37075Geronimo, Jeffrey S.; Gesztesy, Fritz; Holden, Helge 30 2005 New analytically solvable models of relativistic point interactions. Zbl 0646.60107Gesztesy, F.; Šeba, P. 30 1987 Perturbative oscillation criteria and Hardy-type inequalities. Zbl 0903.34030Gesztesy, F.; Ünal, M. 29 1998 Nonlocal Robin Laplacians and some remarks on a paper by Filonov on eigenvalue inequalities. Zbl 1181.35155Gesztesy, Fritz; Mitrea, Marius 29 2009 Uniqueness theorems in inverse spectral theory for one-dimensional Schrödinger operators. Zbl 0846.34090Gesztesy, F.; Simon, B. 29 1996 Spectral theory for perturbed Krein Laplacians in nonsmooth domains. Zbl 1191.35188Ashbaugh, Mark S.; Gesztesy, Fritz; Mitrea, Marius; Teschl, Gerald 28 2010 Witten index, axial anomaly, and Krein’s spectral shift function in supersymmetric quantum mechanics. Zbl 0643.47005Bollé, D.; Gesztesy, F.; Grosse, H.; Schweiger, W.; Simon, B. 28 1987 Borg-type theorems for matrix-valued Schrödinger operators. Zbl 0970.34073Clark, Steve; Gesztesy, Fritz; Holden, Helge; Levitan, Boris M. 27 2000 One-dimensional Schrödinger operators with interactions singular on a discrete set. Zbl 0565.34018Gesztesy, F.; Kirsch, W. 27 1985 Elliptic algebro-geometric solutions of the KdV and AKNS hierarchies - an analytic approach. Zbl 0909.34073Gesztesy, Fritz; Weikard, Rudi 27 1998 Variations on a theme of Jost and Pais. Zbl 1133.47010Gesztesy, Fritz; Mitrea, Marius; Zinchenko, Maxim 26 2007 Inverse spectral analysis with partial information on the potential. III: Updating boundary conditions. Zbl 0898.34075del Rio, Rafael; Gesztesy, Fritz; Simon, Barry 26 1997 Zeros of the Wronskian and renormalized oscillation theory. Zbl 0858.47027Gesztesy, F.; Simon, B.; Teschl, G. 25 1996 Commutation methods applied to the mKdV-equation. Zbl 0728.35106Gesztesy, F.; Schweiger, W.; Simon, B. 25 1991 Inverse spectral analysis with partial information on the potential. I: The case of an a.c. component in the spectrum. Zbl 0870.34017Gesztesy, Fritz; Simon, Barry 25 1997 The low energy expansion in nonrelativistic scattering theory. Zbl 0528.35076Albeverio, Sergio; Gesztesy, Friedrich; Høegh-Krohn, Raphael 25 1982 Some applications of operator-valued Herglotz functions. Zbl 0991.30020Gesztesy, Fritz; Kalton, Nigel J.; Makarov, Konstantin A.; Tsekanovskii, Eduard 24 2001 A complete spectral characterization of the double commutation method. Zbl 0813.34074Gesztesy, F. 24 1993 On the determination of a potential from three spectra. Zbl 0922.34008Gesztesy, Fritz; Simon, Barry 24 1999 Trace formulas and Borg-type theorems for matrix-valued Jacobi and Dirac finite difference operators. Zbl 1085.39016Clark, Steve; Gesztesy, Fritz; Renger, Walter 24 2005 Limits of soliton solutions. Zbl 0811.35122Gesztesy, F.; Karwowski, W.; Zhao, Z. 23 1992 Weyl-Titchmarsh \(M\)-function asymptotics for matrix-valued Schrödinger operators. Zbl 1025.34021Clark, Steve; Gesztesy, Fritz 23 2001 An addendum to Krein’s formula. Zbl 0922.47006Gesztesy, Fritz; Makarov, Konstantin A.; Tsekanovskii, Eduard 22 1998 Robin-to-Robin maps and Krein-type resolvent formulas for Schrödinger operators on bounded Lipschitz domains. Zbl 1180.35186Gesztesy, Fritz; Mitrea, Marius 22 2009 Treibich-Verdier potentials and the stationary (m)KdV hierarchy. Zbl 0830.35119Gesztesy, F.; Weikard, R. 22 1995 A spectral mapping theorem and invariant manifolds for nonlinear Schrödinger equations. Zbl 0969.35123Gesztesy, F.; Jones, C. K. R. T.; Latushkin, Y.; Stanislavova, M. 21 2000 A complete treatment of low-energy scattering in one dimension. Zbl 0567.47008Bollé, D.; Gesztesy, F.; Wilk, S. F. J. 21 1985 Real-valued algebro-geometric solutions of the Camassa-Holm hierarchy. Zbl 1153.37427Gesztesy, Fritz; Holden, Helge 21 2008 One-dimensional scattering theory for quantum systems with nontrivial spatial asymptotics. Zbl 0894.34077Gesztesy, F.; Nowell, R.; Pötz, W. 20 1997 A criterion for Hill operators to be spectral operators of scalar type. Zbl 1193.47037Gesztesy, Fritz; Trachenko, Vadim 20 2009 The \(\Xi\) operator and its relation to Krein’s spectral shift function. Zbl 0964.47013Gesztesy, Fritz; Makarov, Konstantin A. 19 2000 Spectral properties of a class of reflectionless Schrödinger operators. Zbl 1387.34120Gesztesy, Fritz; Yuditskii, Peter 19 2006 On self-adjoint and \(J\)-self-adjoint Dirac-type operators: a case study. Zbl 1124.34062Clark, Steve; Gesztesy, Fritz 19 2006 Trapping and cascading of eigenvalues in the large coupling limit. Zbl 0669.35085Gesztesy, F.; Gurarie, D.; Holden, H.; Klaus, M.; Sadun, L.; Simon, B.; Vogl, P. 19 1988 The spectral shift operator. Zbl 0966.47011Gesztesy, Fritz; Makarov, Konstantin A.; Naboko, Serguei N. 18 1999 Floquet theory revisited. Zbl 0946.47031Gesztesy, F.; Weikard, R. 18 1995 Spectral deformations of one-dimensional Schrödinger operators. Zbl 0951.34061Gesztesy, F.; Simon, B.; Teschl, G. 18 1996 A new class of solvable models in quantum mechanics describing point interactions on the line. Zbl 0627.34030Gesztesy, F.; Holden, H. 18 1987 Threshold scattering in two dimensions. Zbl 0696.35040Bollé, D.; Gesztesy, F.; Danneels, C. 17 1988 On isospectral sets of Jacobi operators. Zbl 0881.58069Gesztesy, F.; Krishna, M.; Teschl, G. 17 1996 On the Koplienko spectral shift function. I: Basics. Zbl 1190.47016Gesztesy, F.; Pushnitski, A.; Simon, B. 17 2008 The index formula and the spectral shift function for relatively trace class perturbations. Zbl 1220.47017Gesztesy, Fritz; Latushkin, Yuri; Makarov, Konstantin A.; Sukochev, Fedor; Tomilov, Yuri 16 2011 Generalized polar decompositions for closed operators in Hilbert spaces and some applications. Zbl 1200.47003Gesztesy, Fritz; Malamud, Mark; Mitrea, Marius; Naboko, Serguei 16 2009 Derivatives of (modified) Fredholm determinants and stability of standing and traveling waves. Zbl 1161.47058Gesztesy, Fritz; Latushkin, Yuri; Zumbrun, Kevin 16 2008 Essential closures and AC spectra for reflectionless CMV, Jacobi, and Schrödinger operators revisited. Zbl 1165.34050Gesztesy, Fritz; Makarov, Konstantin A.; Zinchenko, Maxim 15 2008 Spectral estimation and inverse initial boundary value problems. Zbl 1193.93071Avdonin, Sergei; Gesztesy, Fritz; Makarov, Konstantin A. 15 2010 A Borg-type theorem associated with orthogonal polynomials on the unit circle. Zbl 1131.47027Gesztesy, Fritz; Zinchenko, Maxim 15 2006 On a theorem of Deift and Hempel. Zbl 0647.35063Gesztesy, F.; Simon, B. 15 1988 Lamé potentials and the stationary (m)KdV hierarchy. Zbl 0843.35100Gesztesy, F.; Weikard, R. 15 1995 Inverse spectral theory for Sturm-Liouville operators with distributional potentials. Zbl 1302.34127Eckhardt, Jonathan; Gesztesy, Fritz; Nichols, Roger; Teschl, Gerald 14 2013 Local spectral properties of reflectionless Jacobi, CMV, and Schrödinger operators. Zbl 1165.34051Gesztesy, Fritz; Zinchenko, Maxim 14 2009 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 1283.47001Ashbaugh, Mark S.; Gesztesy, Fritz; Mitrea, Marius; Shterenberg, Roman; Teschl, Gerald 14 2013 Commutation methods for Jacobi operators. Zbl 0854.34079Gesztesy, F.; Teschl, G. 14 1996 A characterization of all elliptic algebro-geometric solutions of the AKNS hierarchy. Zbl 0955.34073Gesztesy, Fritz; Weikard, Rudi 14 1998 A unified approach to eigenvalues and resonances of Schrödinger operators using Fredholm determinants. Zbl 0622.35049Gesztesy, F.; Holden, H. 14 1987 Topological invariance of the Witten index. Zbl 0649.47012Gesztesy, F.; Simon, B. 14 1988 A rigorous approach to relativistic corrections of bound state energies for spin-1/2 particles. Zbl 0534.46053Gesztesy, F.; Grosse, H.; Thaller, B. 14 1984 On point interactions in one dimension. Zbl 0561.35023Albeverio, Sergio; Gesztesy, Friedrich; Høegh-Krohn, Raphael; Kirsch, W. 14 1984 Supersymmetry and Schrödinger-type operators with distributional matrix-valued potentials. Zbl 1320.34116Eckhardt, Jonathan; Gesztesy, Fritz; Nichols, Roger; Teschl, Gerald 14 2014 Higher order trace relations for Schrödinger operators. Zbl 0833.34084Gesztesy, Fritz; Holden, Helge; Simon, Barry; Zhao, Zhong Xin 14 1995 On critical and subcritical Sturm-Liouville operators. Zbl 0726.35119Gesztesy, F.; Zhao, Z. 13 1991 Trace formulae and inverse spectral theory for Schrödinger operators. Zbl 0786.34081Gesztesy, Fritz; Holden, Helge; Simon, Barry; Zhao, Zhong Xin 13 1993 The Krein-von Neumann extension and its connection to an abstract buckling problem. Zbl 1183.35100Ashbaugh, Mark S.; Gesztesy, Fritz; Mitrea, Marius; Shterenberg, Roman; Teschl, Gerald 13 2010 On trace formulas for Schrödinger-type operators. Zbl 0881.34027Gesztesy, F.; Holden, H. 13 1997 Scattering theory for one-dimensional systems with \(\int dx\,V(x)=0\). Zbl 0617.35105Bollé, D.; Gesztesy, F.; Klaus, M. 13 1987 The damped string problem revisited. Zbl 1223.47049Gesztesy, Fritz; Holden, Helge 13 2011 A trace formula for multidimensional Schrödinger operators. Zbl 0864.35030Gesztesy, F.; Holden, H.; Simon, B.; Zhao, Z. 12 1996 On the Toda and Kac-van Moerbeke systems. Zbl 0789.58043Gesztesy, Fritz; Holden, Helge; Simon, Barry; Zhao, Zhong Xin 12 1993 A short proof of Zheludev’s theorem. Zbl 0770.34056Gesztesy, F.; Simon, B. 12 1993 Absolute summability of the trace relation for certain Schrödinger operators. Zbl 0821.34076Gesztesy, Fritz; Holden, Helge; Simon, Barry 12 1995 The generalized Birman-Schwinger principle. Zbl 07462172Behrndt, Jussi; ter Elst, A. F. M.; Gesztesy, Fritz 1 2022 The product formula for regularized Fredholm determinants. Zbl 07326419Britz, Thomas; Carey, Alan; Gesztesy, Fritz; Nichols, Roger; Sukochev, Fedor; Zanin, Dmitriy 1 2021 A survey of some norm inequalities. Zbl 07352441Gesztesy, Fritz; Nichols, Roger; Stanfill, Jonathan 1 2021 Bessel-type operators and a refinement of Hardy’s inequality. Zbl 07456826Gesztesy, Fritz; Pang, Michael M. H.; Stanfill, Jonathan 1 2021 On self-adjoint boundary conditions for singular Sturm-Liouville operators bounded from below. Zbl 1458.34143Gesztesy, Fritz; Littlejohn, Lance L.; Nichols, Roger 9 2020 The inverse approach to Dirac-type systems based on the \(A\)-function concept. Zbl 1470.34053Gesztesy, Fritz; Sakhnovich, Alexander 4 2020 On weighted Hardy-type inequalities. Zbl 1444.26017Chuah, Chian Yeong; Gesztesy, Fritz; Littlejohn, Lance L.; Mei, Tao; Michael, Isaac; Pang, Michael M. H. 1 2020 On absence of threshold resonances for Schrödinger and Dirac operators. Zbl 1459.35107Gesztesy, Fritz; Nichols, Roger 1 2020 Radial and logarithmic refinements of Hardy’s inequality. Zbl 1414.35010Gesztesy, 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 06988448Gesztesy, Fritz; Kirsten, Klaus 6 2019 On traces and modified Fredholm determinants for half-line Schrödinger operators with purely discrete spectra. Zbl 07070224Gesztesy, Fritz; Kirsten, Klaus 1 2019 On a theorem of Z. Sebestyén and Zs. Tarcsay. Zbl 1438.47040Gesztesy, Fritz; Schmüdgen, Konrad 1 2019 Factorizations and Hardy-Rellich-type inequalities. Zbl 1402.35014Gesztesy, Fritz; Littlejohn, Lance 12 2018 On Birman’s sequence of Hardy-Rellich-type inequalities. Zbl 1384.26043Gesztesy, Fritz; Littlejohn, Lance L.; Michael, Isaac; Wellman, Richard 12 2018 On the global limiting absorption principle for massless Dirac operators. Zbl 1394.81115Carey, Alan; Gesztesy, Fritz; Kaad, Jens; Levitina, Galina; Nichols, Roger; Potapov, Denis; Sukochev, Fedor 7 2018 Spectral shift functions and Dirichlet-to-Neumann maps. Zbl 1417.35016Behrndt, Jussi; Gesztesy, Fritz; Nakamura, Shu 2 2018 Coupling of symmetric operators and the third Green identity. Zbl 1466.47017Behrndt, Jussi; Derkach, Vladimir; Gesztesy, Fritz; Mitrea, Marius 2 2018 Renormalized oscillation theory for Hamiltonian systems. Zbl 1381.34050Gesztesy, Fritz; Zinchenko, Maxim 9 2017 On the Witten index in terms of spectral shift functions. Zbl 1481.47012Carey, Alan; Gesztesy, Fritz; Potapov, Denis; Sukochev, Fedor; Tomilov, Yuri 8 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 1383.35182Eckhardt, 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 1362.35197Ashbaugh, Mark S.; Gesztesy, Fritz; Laptev, Ari; Mitrea, Marius; Sukhtaiev, Selim 3 2017 On (conditional) positive semidefiniteness in a matrix-valued context. Zbl 1387.47010Gesztesy, Fritz; Pang, Michael 3 2017 On the index of meromorphic operator-valued functions and some applications. Zbl 1441.47012Behrndt, 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 1357.35099Gesztesy, 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 1350.47009Behrndt, Jussi; Gesztesy, Fritz; Holden, Helge; Nichols, Roger 7 2016 From mathematical physics to analysis: a walk in Barry Simon’s mathematical garden. II. Zbl 1352.01037Avron, 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 1384.47006Carey, Alan; Gesztesy, Fritz; Levitina, Galina; Potapov, Denis; Sukochev, Fedor; Zanin, Dima 4 2016 Trace formulas for a class of non-Fredholm operators: a review. Zbl 1394.47023Carey, Alan; Gesztesy, Fritz; Grosse, Harald; Levitina, Galina; Potapov, Denis; Sukochev, Fedor; Zanin, Dmitriy 4 2016 Erratum to: “On factorizations of analytic operator-valued functions and eigenvalue multiplicity questions”. Zbl 1465.47010Gesztesy, Fritz; Holden, Helge; Nichols, Roger 3 2016 On the index of a non-Fredholm model operator. Zbl 1356.47018Carey, Alan; Gesztesy, Fritz; Levitina, Galina; Sukochev, Fedor 3 2016 The Krein-von Neumann realization of perturbed Laplacians on bounded Lipschitz domains. Zbl 1372.35200Behrndt, Jussi; Gesztesy, Fritz; Micheler, Till; Mitrea, Marius 3 2016 On stability of square root domains for non-self-adjoint operators under additive perturbations. Zbl 1345.47015Gesztesy, Fritz; Hofmann, Steve; Nichols, Roger 2 2016 Selecta. Volume 2. Edited by Fritz Gesztesy, Gilles Godefroy, Loukas Grafakos and Igor Verbitsky. Zbl 1347.01021Kalton, Nigel J. 1 2016 The Callias index formula revisited. Zbl 1359.47001Gesztesy, Fritz; Waurick, Marcus 1 2016 The spectral shift function and the Witten index. Zbl 06981831Carey, Alan; Gesztesy, Fritz; Levitina, Galina; Sukochev, Fedor 1 2016 Double operator integral methods applied to continuity of spectral shift functions. Zbl 06694723Carey, Alan; Gesztesy, Fritz; Levitina, Galina; Nichols, Roger; Potapov, Denis; Sukochev, Fedor 1 2016 Inverse spectral problems for Schrödinger-type operators with distributional matrix-valued potentials. Zbl 1340.34053Eckhardt, Jonathan; Gesztesy, Fritz; Nichols, Roger; Sakhnovich, Alexander; Teschl, Gerald 10 2015 Some operator bounds employing complex interpolation revisited. Zbl 1380.47012Gesztesy, Fritz; Latushkin, Yuri; Sukochev, Fedor; Tomilov, Yuri 4 2015 Heat kernel bounds for elliptic partial differential operators in divergence form with Robin-type boundary conditions. II. Zbl 1307.47050Gesztesy, 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 1308.35082Gesztesy, Fritz; Hofmann, Steve; Nichols, Roger 2 2015 A bound for the eigenvalue counting function for higher-order Krein Laplacians on open sets. Zbl 1339.35202Gesztesy, F.; Mitrea, M.; Sukhtaiev, S.; Laptev, A. 1 2015 On factorizations of analytic operator-valued functions and eigenvalue multiplicity questions. Zbl 1316.47014Gesztesy, Fritz; Holden, Helge; Nichols, Roger 1 2015 A Jost-Pais-type reduction of (modified) Fredholm determinants for semi-separable operators in infinite dimensions. Zbl 06767994Gesztesy, Fritz; Nichols, Roger 1 2015 Supersymmetry and Schrödinger-type operators with distributional matrix-valued potentials. Zbl 1320.34116Eckhardt, 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 1296.47041Gesztesy, Fritz; Mitrea, Marius; Nichols, Roger 8 2014 Boundary data maps and Krein’s resolvent formula for Sturm-Liouville operators on a finite interval. Zbl 1311.34037Clark, Stephen; Gesztesy, Fritz; Nichols, Roger; Zinchenko, Maxim 8 2014 Some remarks on the spectral problem underlying the Camassa-Holm hierarchy. Zbl 1322.47028Gesztesy, Fritz; Weikard, Rudi 5 2014 A Jost-Pais-type reduction of Fredholm determinants and some applications. Zbl 1311.47027Carey, Alan; Gesztesy, Fritz; Potapov, Denis; Sukochev, Fedor; Tomilov, Yuri 5 2014 Weyl-Titchmarsh theory for Sturm-Liouville operators with distributional potentials. Zbl 1283.34022Eckhardt, Jonathan; Gesztesy, Fritz; Nichols, Roger; Teschl, Gerald 44 2013 Inverse spectral theory for Sturm-Liouville operators with distributional potentials. Zbl 1302.34127Eckhardt, 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 1283.47001Ashbaugh, 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 1283.34023Gesztesy, Fritz; Weikard, R.; Zinchenko, Maxim 10 2013 On spectral theory for Schrödinger operators with operator-valued potentials. Zbl 1291.34139Gesztesy, Fritz; Weikard, Rudi; Zinchenko, Maxim 7 2013 On a class of model Hilbert spaces. Zbl 1448.46032Gesztesy, 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 1251.34100Gesztesy, Fritz; Tkachenko, Vadim 30 2012 Symmetrized perturbation determinants and applications to boundary data maps and Krein-type resolvent formulas. Zbl 1247.34030Gesztesy, Fritz; Zinchenko, Maxim 9 2012 Abstract wave equations and associated Dirac-type operators. Zbl 1262.35174Gesztesy, 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 1258.47032Gesztesy, 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 1263.47015Gesztesy, Fritz; Nichols, Roger 6 2012 Weak convergence of spectral shift functions for one-dimensional Schrödinger operators. Zbl 1263.47026Gesztesy, 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 1231.47044Gesztesy, Fritz; Mitrea, Marius 51 2011 The index formula and the spectral shift function for relatively trace class perturbations. Zbl 1220.47017Gesztesy, Fritz; Latushkin, Yuri; Makarov, Konstantin A.; Sukochev, Fedor; Tomilov, Yuri 16 2011 The damped string problem revisited. Zbl 1223.47049Gesztesy, Fritz; Holden, Helge 13 2011 On the nature of the Laplace-Beltrami operator on Lipschitz manifolds. Zbl 1222.58020Gesztesy, F.; Mitrea, I.; Mitrea, D.; Mitrea, M. 6 2011 Spectral theory for perturbed Krein Laplacians in nonsmooth domains. Zbl 1191.35188Ashbaugh, Mark S.; Gesztesy, Fritz; Mitrea, Marius; Teschl, Gerald 28 2010 Spectral estimation and inverse initial boundary value problems. Zbl 1193.93071Avdonin, Sergei; Gesztesy, Fritz; Makarov, Konstantin A. 15 2010 The Krein-von Neumann extension and its connection to an abstract buckling problem. Zbl 1183.35100Ashbaugh, Mark S.; Gesztesy, Fritz; Mitrea, Marius; Shterenberg, Roman; Teschl, Gerald 13 2010 The algebro-geometric initial value problem for the Ablowitz-Ladik hierarchy. Zbl 1178.37074Gesztesy, Fritz; Holden, Helge; Michor, Johanna; Teschl, Gerald 3 2010 Boundary data maps for Schrödinger operators on a compact interval. Zbl 1208.34028Clark, S.; Gesztesy, F.; Mitrea, M. 1 2010 Nonlocal Robin Laplacians and some remarks on a paper by Filonov on eigenvalue inequalities. Zbl 1181.35155Gesztesy, Fritz; Mitrea, Marius 29 2009 Robin-to-Robin maps and Krein-type resolvent formulas for Schrödinger operators on bounded Lipschitz domains. Zbl 1180.35186Gesztesy, Fritz; Mitrea, Marius 22 2009 A criterion for Hill operators to be spectral operators of scalar type. Zbl 1193.47037Gesztesy, Fritz; Trachenko, Vadim 20 2009 Generalized polar decompositions for closed operators in Hilbert spaces and some applications. Zbl 1200.47003Gesztesy, Fritz; Malamud, Mark; Mitrea, Marius; Naboko, Serguei 16 2009 Local spectral properties of reflectionless Jacobi, CMV, and Schrödinger operators. Zbl 1165.34051Gesztesy, Fritz; Zinchenko, Maxim 14 2009 On Dirichlet-to-Neumann maps and some applications to modified Fredholm determinants. Zbl 1169.47014Gesztesy, Fritz; Mitrea, Marius; Zinchenko, Maxim 6 2009 The Ablowitz-Ladik hierarchy revisited. Zbl 1160.37028Gesztesy, 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 1172.39026Clark, Stephen; Gesztesy, Fritz; Zinchenko, Maxim 3 2009 Soliton equations and their algebro-geometric solutions. Volume II. \((1+1)\)-dimensional discrete models. Zbl 1151.37056Gesztesy, Fritz; Holden, Helge; Michor, Johanna; Teschl, Gerald 49 2008 Generalized Robin boundary conditions, Robin-to-Dirichlet maps, and Krein-type resolvent formulas for Schrödinger operators on bounded Lipschitz domains. Zbl 1178.35147Gesztesy, Fritz; Mitrea, Marius 48 2008 Real-valued algebro-geometric solutions of the Camassa-Holm hierarchy. Zbl 1153.37427Gesztesy, Fritz; Holden, Helge 21 2008 On the Koplienko spectral shift function. I: Basics. Zbl 1190.47016Gesztesy, F.; Pushnitski, A.; Simon, B. 17 2008 Derivatives of (modified) Fredholm determinants and stability of standing and traveling waves. Zbl 1161.47058Gesztesy, Fritz; Latushkin, Yuri; Zumbrun, Kevin 16 2008 Essential closures and AC spectra for reflectionless CMV, Jacobi, and Schrödinger operators revisited. Zbl 1165.34050Gesztesy, Fritz; Makarov, Konstantin A.; Zinchenko, Maxim 15 2008 Local conservation laws and the Hamiltonian formalism for the Ablowitz-Ladik hierarchy. Zbl 1193.37092Gesztesy, Fritz; Holden, Helge; Michor, Johanna; Teschl, Gerald 6 2008 The algebro-geometric Toda hierarchy initial value problem for complex-valued initial data. Zbl 1143.37045Gesztesy, Fritz; Holden, Helge; Teschl, Gerald 5 2008 Borg–Marchenko type uniqueness results for CMV operators. Zbl 1165.47021Clark, Stephen; Gesztesy, Fritz; Zinchenko, Maxim 5 2008 Variations on a theme of Jost and Pais. Zbl 1133.47010Gesztesy, Fritz; Mitrea, Marius; Zinchenko, Maxim 26 2007 Evans functions, Jost functions, and Fredholm determinants. Zbl 1134.34004Gesztesy, 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 1142.34014Clark, Stephen; Gesztesy, Fritz; Zinchenko, Maxim 10 2007 Inverse spectral theory as influenced by Barry Simon. Zbl 1135.34006Gesztesy, Fritz 8 2007 Multi-dimensional versions of a determinant formula due to Jost and Pais. Zbl 1207.47043Gesztesy, 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 1137.37033Gesztesy, Fritz; Holden, Helge; Michor, Johanna; Teschl, Gerald 3 2007 On spectral theory for Schrödinger operators with strongly singular potentials. Zbl 1108.34063Gesztesy, Fritz; Zinchenko, Maxim 52 2006 Weyl–Titchmarsh theory for CMV operators associated with orthogonal polynomials on the unit circle. Zbl 1118.47023Gesztesy, Fritz; Zinchenko, Maxim 34 2006 Spectral properties of a class of reflectionless Schrödinger operators. Zbl 1387.34120Gesztesy, Fritz; Yuditskii, Peter 19 2006 On self-adjoint and \(J\)-self-adjoint Dirac-type operators: a case study. Zbl 1124.34062Clark, Steve; Gesztesy, Fritz 19 2006 A Borg-type theorem associated with orthogonal polynomials on the unit circle. Zbl 1131.47027Gesztesy, Fritz; Zinchenko, Maxim 15 2006 An explicit characterization of Calogero-Moser systems. Zbl 1082.37065Gesztesy, Fritz; Unterkofler, Karl; Weikard, Rudi 9 2006 When is a non-self-adjoint Hill operator a spectral operator of scalar type? Zbl 1108.34064Gesztesy, Fritz; Tkachenko, Vadim 5 2006 ...and 155 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,959 Authors 128 Gesztesy, Fritz 49 Yang, Chuanfu 48 Malamud, Mark M. 45 Geng, Xianguo 44 Albeverio, Sergio A. 41 Teschl, Gerald 39 Exner, Pavel 36 Simon, Barry 35 Sakhnovich, Alexander L. 32 Behrndt, Jussi 31 Wei, Guangsheng 23 Kostenko, Aleksey S. 22 Holden, Helge 19 Fan, Engui 19 Posilicano, Andrea 19 Tsekanovskii, Eduard R. 18 Damanik, David 18 Ma, Wen-Xiu 18 Popov, Igor’ Yur’evich 18 Sukochev, Fedor Anatol’evich 18 Wang, Yuping 18 Weikard, Rudi 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 Kurasov, Pavel B. 14 Pankrashkin, Konstantin 14 Vesely, Michal 14 Xue, Bo 14 Zinchenko, Maxim 13 de Snoo, Hendrik S. V. 13 Koshmanenko, Volodymyr Dmytrovych 13 Šeba, Petr 13 Ugurlu, Ekin 12 Hryniv, Rostyslav O. 12 Kirsten, Klaus 12 Makarov, Konstantin A. 12 Michelangeli, Alessandro 12 Zemánek, Petr 11 Guo, Yongxia 11 Ong, Darren C. 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 Carey, Alan L. 10 He, Guoliang 10 Potapov, Denis 10 Qiao, Zhijun 10 Remling, Christian 10 Rybkin, Alexei 10 Zhao, Peng 9 Belyi, Sergey V. 9 Brown, B. Malcolm 9 Derevyagin, Maxim S. 9 Fillman, Jake 9 Fritzsche, Bernd 9 Kirstein, Bernd 9 Koyunbakan, Hikmet 9 Krejčiřík, David 9 Langer, Heinz 9 Lin, Chang-Shou 9 Mykytyuk, Yaroslav V. 9 Nicoleau, François 9 Wu, Lihua 9 Yuditskii, Peter Meerovich 8 Arlins’kyĭ, Yuriĭ Moĭseĭovych 8 Cacciapuoti, Claudio 8 Cardone, Giuseppe 8 Chen, Zhijie 8 Daudé, Thierry 8 Dell’Antonio, Gian Fausto 8 Figari, Rodolfo 8 Hou, Yu 8 Krieger, Joachim 8 Littlejohn, Lance L. 8 Lukic, Milivoje 8 Mikhaylov, Victor S. 8 Mityagin, Boris Samuilovich 8 Nguyen Tuan Duy 8 Pushnitski, Alexander B. 8 Richard, Serge 8 Sukhtayev, Alim 8 ter Elst, Antonius Frederik Maria 8 Veliev, Oktay Alish ...and 1,859 more Authors all top 5 Cited in 313 Serials 141 Journal of Mathematical Physics 134 Journal of Mathematical Analysis and Applications 97 Journal of Functional Analysis 85 Journal of Differential Equations 72 Communications in Mathematical Physics 62 Integral Equations and Operator Theory 45 Letters in Mathematical Physics 43 Annales Henri Poincaré 42 Theoretical and Mathematical Physics 42 Mathematische Nachrichten 35 Reports on Mathematical Physics 33 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 26 Journal d’Analyse Mathématique 26 Advances in Mathematics 26 Linear Algebra and its Applications 26 Journal of Mathematical Sciences (New York) 25 Complex Analysis and Operator Theory 23 Journal of Nonlinear Mathematical Physics 22 Applicable Analysis 22 Reviews in Mathematical Physics 19 Physics Letters. 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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 213 more Serials all top 5 Cited in 57 Fields 875 Operator theory (47-XX) 861 Partial differential equations (35-XX) 761 Ordinary differential equations (34-XX) 622 Quantum theory (81-XX) 313 Dynamical systems and ergodic theory (37-XX) 126 Functional analysis (46-XX) 113 Statistical mechanics, structure of matter (82-XX) 83 Difference and functional equations (39-XX) 75 Global analysis, analysis on manifolds (58-XX) 69 Algebraic geometry (14-XX) 64 Functions of a complex variable (30-XX) 62 Probability theory and stochastic processes (60-XX) 58 Linear and multilinear algebra; matrix theory (15-XX) 58 Numerical analysis (65-XX) 55 Harmonic analysis on Euclidean spaces (42-XX) 47 Special functions (33-XX) 38 Optics, electromagnetic theory (78-XX) 29 Fluid mechanics (76-XX) 25 Real functions (26-XX) 25 Mechanics of particles and systems (70-XX) 24 Mechanics of deformable solids (74-XX) 22 Differential geometry (53-XX) 20 Integral equations (45-XX) 19 Combinatorics (05-XX) 16 Relativity and gravitational theory (83-XX) 13 Potential theory (31-XX) 12 Approximations and expansions (41-XX) 12 Systems theory; control (93-XX) 11 Number theory (11-XX) 11 Integral transforms, operational calculus (44-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 10 Information and communication theory, circuits (94-XX) 8 \(K\)-theory (19-XX) 8 Measure and integration (28-XX) 8 Several complex variables and analytic spaces (32-XX) 8 Statistics (62-XX) 6 Abstract harmonic analysis (43-XX) 6 Computer science (68-XX) 4 Nonassociative rings and algebras (17-XX) 4 Topological groups, Lie groups (22-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) 2 Convex and discrete geometry (52-XX) 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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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