Edit Profile (opens in new tab) Gesztesy, Fritz Co-Author Distance Author ID: gesztesy.fritz Published as: Gesztesy, Fritz; Gesztesy, F.; Gesztesy, Friedrich; Gesztezy, Fritz more...less Homepage: http://faculty.missouri.edu/~gesztesyf/ External Links: MGP · Wikidata · ResearchGate · GND · IdRef Documents Indexed: 284 Publications since 1978, including 8 Books 13 Contributions as Editor Biographic References: 3 Publications Co-Authors: 137 Co-Authors with 283 Joint Publications 3,563 Co-Co-Authors all top 5 Co-Authors 12 single-authored 54 Holden, Helge 32 Simon, Barry 29 Nichols, Roger 23 Teschl, Gerald 22 Mitrea, Marius 21 Weikard, Rudi 21 Zinchenko, Maxim 14 Albeverio, Sergio A. 14 Makarov, Konstantin A. 13 Sukochev, Fedor Anatol’evich 11 Høegh-Krohn, Raphael J. 11 Zhao, Zhongxin 10 Bollé, D. 10 Carey, Alan L. 9 Littlejohn, Lance L. 9 Unterkofler, Karl 8 Clark, Steve 8 Latushkin, Yuri 8 Pang, Michael M. H. 7 Behrndt, Jussi 7 Kirsten, Klaus 7 Levitina, Galina Borisovna 7 Streit, Ludwig 6 Ashbaugh, Mark S. 6 Grosse, Harald 6 Kirsch, Werner 6 Michael, Isaac B. 6 Potapov, Denis 5 Bulla, W. 5 Eckhardt, Jonathan 5 Michor, Johanna 5 Tomilov, Yuri 4 Naboko, Serguei N. 4 Schweiger, Wolfgang 4 Stanfill, Jonathan 4 Zanin, Dmitriy V. 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. 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, Volodymyr Oleksandrovych 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 45 more Co-Authors all top 5 Serials 14 Journal of Differential Equations 13 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 Proceedings of the American Mathematical Society 6 Journal of Physics A: Mathematical and General 5 Letters in Mathematical Physics 5 Advances in Mathematics 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 1 Memoirs of the European Mathematical Society all top 5 Fields 157 Operator theory (47-XX) 129 Partial differential equations (35-XX) 116 Ordinary differential equations (34-XX) 56 Quantum theory (81-XX) 47 Dynamical systems and ergodic theory (37-XX) 23 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) 6 History and biography (01-XX) 6 Functions of a complex variable (30-XX) 6 Special functions (33-XX) 5 Real functions (26-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Number theory (11-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 260 Publications have been cited 4,386 times in 2,515 Documents Cited by ▼ Year ▼ Solvable models in quantum mechanics. Zbl 0679.46057Albeverio, Sergio; Gesztesy, Friedrich; Høegh-Krohn, Raphael; Holden, Helge 366 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 160 2005 Soliton equations and their algebro-geometric solutions. I: (1+1)-dimensional continuous models. Zbl 1061.37056Gesztesy, Fritz; Holden, Helge 148 2003 Inverse spectral analysis with partial information on the potential. II: The case of discrete spectrum. Zbl 0948.34060Gesztesy, Fritz; Simon, Barry 132 2000 On matrix-valued Herglotz functions. Zbl 0961.30027Gesztesy, Fritz; Tsekanovskii, Eduard 107 2000 Weakly coupled bound states in quantum waveguides. Zbl 0868.35080Bulla, W.; Gesztesy, F.; Renger, W.; Simon, B. 70 1997 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 58 2011 Soliton equations and their algebro-geometric solutions. Volume II. \((1+1)\)-dimensional discrete models. Zbl 1151.37056Gesztesy, Fritz; Holden, Helge; Michor, Johanna; Teschl, Gerald 58 2008 Algebro-geometric solutions of the Camassa-Holm hierarchy. Zbl 1029.37049Gesztesy, Fritz; Holden, Helge 58 2003 On spectral theory for Schrödinger operators with strongly singular potentials. Zbl 1108.34063Gesztesy, Fritz; Zinchenko, Maxim 56 2006 Weyl-Titchmarsh \(M\)-function asymptotics, local uniqueness results, trace formulas, and Borg-type theorems for Dirac operators. Zbl 1017.34019Clark, Steve; Gesztesy, Fritz 56 2002 An alternative approach to algebro-geometric solutions of the AKNS hierarchy. Zbl 0974.35107Gesztesy, F.; Ratnaseelan, R. 53 1998 Weyl-Titchmarsh theory for Sturm-Liouville operators with distributional potentials. Zbl 1283.34022Eckhardt, Jonathan; Gesztesy, Fritz; Nichols, Roger; Teschl, Gerald 52 2013 \(m\)-functions and inverse spectral analysis for finite and semi-infinite Jacobi matrices. Zbl 0924.15005Gesztesy, Fritz; Simon, Barry 51 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 50 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 50 2000 Algebro-geometric solutions of the Boussinesq hierarchy. Zbl 0971.35065Dickson, R.; Gesztesy, F.; Unterkofler, K. 48 1999 Nonselfadjoint operators, infinite determinants, and some applications. Zbl 1201.47028Gesztesy, F.; Latushkin, Y.; Mitrea, M.; Zinchenko, M. 43 2005 Deficiency indices and singular boundary conditions in quantum mechanics. Zbl 0583.35029Bulla, W.; Gesztesy, F. 42 1985 The \(\xi\) function. Zbl 0885.34070Gesztesy, Fritz; Simon, Barry 41 1996 Picard potential and Hill’s equation on a torus. Zbl 0927.37040Gesztesy, Fritz; Weikard, Rudi 39 1996 On Weyl-Titchmarsh theory for singular finite difference Hamiltonian systems. Zbl 1065.39027Clark, Steve; Gesztesy, Fritz 39 2004 New analytically solvable models of relativistic point interactions. Zbl 0646.60107Gesztesy, F.; Šeba, P. 38 1987 Weyl–Titchmarsh theory for CMV operators associated with orthogonal polynomials on the unit circle. Zbl 1118.47023Gesztesy, Fritz; Zinchenko, Maxim 38 2006 Rank one perturbations at infinite coupling. Zbl 0828.47009Gesztesy, Fritz; Simon, Barry 37 1995 A new approach to the Boussinesq hierarchy. Zbl 0978.35049Dickson, Ronnie; Gesztesy, Fritz; Unterkofler, Karl 37 1999 Uniqueness results for matrix-valued Schrödinger, Jacobi, and Dirac-type operators. Zbl 1017.34020Gesztesy, Fritz; Kiselev, Alexander; Makarov, Konstantin A. 36 2002 On the double commutation method. Zbl 0855.34028Gesztesy, F.; Teschl, G. 34 1996 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. 34 1998 On local Borg-Marchenko uniqueness results. Zbl 0985.34077Gesztesy, Fritz; Simon, Barry 34 2000 Perturbative oscillation criteria and Hardy-type inequalities. Zbl 0903.34030Gesztesy, F.; Ünal, M. 33 1998 Uniqueness theorems in inverse spectral theory for one-dimensional Schrödinger operators. Zbl 0846.34090Gesztesy, F.; Simon, B. 32 1996 Zeros of the Wronskian and renormalized oscillation theory. Zbl 0858.47027Gesztesy, F.; Simon, B.; Teschl, G. 32 1996 Algebro-geometric solutions of the Baxter-Szegő difference equation. Zbl 1080.37075Geronimo, Jeffrey S.; Gesztesy, Fritz; Holden, Helge 32 2005 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. 31 1987 A Schauder and Riesz basis criterion for non-self-adjoint Schrödinger operators with periodic and antiperiodic boundary conditions. Zbl 1251.34100Gesztesy, Fritz; Tkachenko, Vadim 31 2012 Nonlocal Robin Laplacians and some remarks on a paper by Filonov on eigenvalue inequalities. Zbl 1181.35155Gesztesy, Fritz; Mitrea, Marius 31 2009 A complete spectral characterization of the double commutation method. Zbl 0813.34074Gesztesy, F. 30 1993 Spectral theory for perturbed Krein Laplacians in nonsmooth domains. Zbl 1191.35188Ashbaugh, Mark S.; Gesztesy, Fritz; Mitrea, Marius; Teschl, Gerald 30 2010 Inverse spectral analysis with partial information on the potential. III: Updating boundary conditions. Zbl 0898.34075del Rio, Rafael; Gesztesy, Fritz; Simon, Barry 29 1997 Borg-type theorems for matrix-valued Schrödinger operators. Zbl 0970.34073Clark, Steve; Gesztesy, Fritz; Holden, Helge; Levitan, Boris M. 29 2000 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 28 1997 Elliptic algebro-geometric solutions of the KdV and AKNS hierarchies - an analytic approach. Zbl 0909.34073Gesztesy, Fritz; Weikard, Rudi 28 1998 Commutation methods applied to the mKdV-equation. Zbl 0728.35106Gesztesy, F.; Schweiger, W.; Simon, B. 28 1991 Variations on a theme of Jost and Pais. Zbl 1133.47010Gesztesy, Fritz; Mitrea, Marius; Zinchenko, Maxim 28 2007 The low energy expansion in nonrelativistic scattering theory. Zbl 0528.35076Albeverio, Sergio; Gesztesy, Friedrich; Høegh-Krohn, Raphael 27 1982 One-dimensional Schrödinger operators with interactions singular on a discrete set. Zbl 0565.34018Gesztesy, F.; Kirsch, W. 27 1985 Some applications of operator-valued Herglotz functions. Zbl 0991.30020Gesztesy, Fritz; Kalton, Nigel J.; Makarov, Konstantin A.; Tsekanovskii, Eduard 27 2001 Limits of soliton solutions. Zbl 0811.35122Gesztesy, F.; Karwowski, W.; Zhao, Z. 26 1992 Trace formulas and Borg-type theorems for matrix-valued Jacobi and Dirac finite difference operators. Zbl 1085.39016Clark, Steve; Gesztesy, Fritz; Renger, Walter 26 2005 Treibich-Verdier potentials and the stationary (m)KdV hierarchy. Zbl 0830.35119Gesztesy, F.; Weikard, R. 25 1995 On the determination of a potential from three spectra. Zbl 0922.34008Gesztesy, Fritz; Simon, Barry 25 1999 Weyl-Titchmarsh \(M\)-function asymptotics for matrix-valued Schrödinger operators. Zbl 1025.34021Clark, Steve; Gesztesy, Fritz 24 2001 An addendum to Krein’s formula. Zbl 0922.47006Gesztesy, Fritz; Makarov, Konstantin A.; Tsekanovskii, Eduard 24 1998 Robin-to-Robin maps and Krein-type resolvent formulas for Schrödinger operators on bounded Lipschitz domains. Zbl 1180.35186Gesztesy, Fritz; Mitrea, Marius 23 2009 A complete treatment of low-energy scattering in one dimension. Zbl 0567.47008Bollé, D.; Gesztesy, F.; Wilk, S. F. J. 22 1985 Spectral properties of a class of reflectionless Schrödinger operators. Zbl 1387.34120Gesztesy, Fritz; Yuditskii, Peter 22 2006 Real-valued algebro-geometric solutions of the Camassa-Holm hierarchy. Zbl 1153.37427Gesztesy, Fritz; Holden, Helge 22 2008 A criterion for Hill operators to be spectral operators of scalar type. Zbl 1193.47037Gesztesy, Fritz; Trachenko, Vadim 22 2009 A spectral mapping theorem and invariant manifolds for nonlinear Schrödinger equations. Zbl 0969.35123Gesztesy, F.; Jones, C. K. R. T.; Latushkin, Y.; Stanislavova, M. 22 2000 A new class of solvable models in quantum mechanics describing point interactions on the line. Zbl 0627.34030Gesztesy, F.; Holden, H. 20 1987 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. 20 1988 On self-adjoint and \(J\)-self-adjoint Dirac-type operators: a case study. Zbl 1124.34062Clark, Steve; Gesztesy, Fritz 20 2006 The \(\Xi\) operator and its relation to Krein’s spectral shift function. Zbl 0964.47013Gesztesy, Fritz; Makarov, Konstantin A. 20 2000 The spectral shift operator. Zbl 0966.47011Gesztesy, Fritz; Makarov, Konstantin A.; Naboko, Serguei N. 20 1999 Spectral deformations of one-dimensional Schrödinger operators. Zbl 0951.34061Gesztesy, F.; Simon, B.; Teschl, G. 19 1996 Floquet theory revisited. Zbl 0946.47031Gesztesy, F.; Weikard, R. 19 1995 One-dimensional scattering theory for quantum systems with nontrivial spatial asymptotics. Zbl 0894.34077Gesztesy, F.; Nowell, R.; Pötz, W. 19 1997 Topological invariance of the Witten index. Zbl 0649.47012Gesztesy, F.; Simon, B. 19 1988 On the Koplienko spectral shift function. I: Basics. Zbl 1190.47016Gesztesy, F.; Pushnitski, A.; Simon, B. 19 2008 Generalized polar decompositions for closed operators in Hilbert spaces and some applications. Zbl 1200.47003Gesztesy, Fritz; Malamud, Mark; Mitrea, Marius; Naboko, Serguei 19 2009 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 19 2011 Threshold scattering in two dimensions. Zbl 0696.35040Bollé, D.; Gesztesy, F.; Danneels, C. 18 1988 A rigorous approach to relativistic corrections of bound state energies for spin-1/2 particles. Zbl 0534.46053Gesztesy, F.; Grosse, H.; Thaller, B. 18 1984 Derivatives of (modified) Fredholm determinants and stability of standing and traveling waves. Zbl 1161.47058Gesztesy, Fritz; Latushkin, Yuri; Zumbrun, Kevin 18 2008 On isospectral sets of Jacobi operators. Zbl 0881.58069Gesztesy, F.; Krishna, M.; Teschl, G. 17 1996 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 17 2013 On a theorem of Deift and Hempel. Zbl 0647.35063Gesztesy, F.; Simon, B. 16 1988 The damped string problem revisited. Zbl 1223.47049Gesztesy, Fritz; Holden, Helge 16 2011 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 16 2010 Scattering theory for one-dimensional systems with \(\int dx\,V(x)=0\). Zbl 0617.35105Bollé, D.; Gesztesy, F.; Klaus, M. 15 1987 A unified approach to eigenvalues and resonances of Schrödinger operators using Fredholm determinants. Zbl 0622.35049Gesztesy, F.; Holden, H. 15 1987 Higher order trace relations for Schrödinger operators. Zbl 0833.34084Gesztesy, Fritz; Holden, Helge; Simon, Barry; Zhao, Zhong Xin 15 1995 Lamé potentials and the stationary (m)KdV hierarchy. Zbl 0843.35100Gesztesy, F.; Weikard, R. 15 1995 Commutation methods for Jacobi operators. Zbl 0854.34079Gesztesy, F.; Teschl, G. 15 1996 A characterization of all elliptic algebro-geometric solutions of the AKNS hierarchy. Zbl 0955.34073Gesztesy, Fritz; Weikard, Rudi 15 1998 Factorizations and Hardy-Rellich-type inequalities. Zbl 1402.35014Gesztesy, Fritz; Littlejohn, Lance 15 2018 On point interactions in one dimension. Zbl 0561.35023Albeverio, Sergio; Gesztesy, Friedrich; Høegh-Krohn, Raphael; Kirsch, W. 15 1984 Inverse spectral theory for Sturm-Liouville operators with distributional potentials. Zbl 1302.34127Eckhardt, Jonathan; Gesztesy, Fritz; Nichols, Roger; Teschl, Gerald 15 2013 Supersymmetry and Schrödinger-type operators with distributional matrix-valued potentials. Zbl 1320.34116Eckhardt, Jonathan; Gesztesy, Fritz; Nichols, Roger; Teschl, Gerald 15 2014 A Borg-type theorem associated with orthogonal polynomials on the unit circle. Zbl 1131.47027Gesztesy, Fritz; Zinchenko, Maxim 15 2006 Spectral estimation and inverse initial boundary value problems. Zbl 1193.93071Avdonin, Sergei; Gesztesy, Fritz; Makarov, Konstantin A. 15 2010 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 spectral properties of reflectionless Jacobi, CMV, and Schrödinger operators. Zbl 1165.34051Gesztesy, Fritz; Zinchenko, Maxim 15 2009 Renormalized oscillation theory for Hamiltonian systems. Zbl 1381.34050Gesztesy, Fritz; Zinchenko, Maxim 14 2017 A trace formula for multidimensional Schrödinger operators. Zbl 0864.35030Gesztesy, F.; Holden, H.; Simon, B.; Zhao, Z. 14 1996 On critical and subcritical Sturm-Liouville operators. Zbl 0726.35119Gesztesy, F.; Zhao, Z. 14 1991 Rational \(KP\) and \(mKP\)-solutions in Wronskian form. Zbl 0766.35045Gesztesy, F.; Schweiger, W. 13 1991 A short proof of Zheludev’s theorem. Zbl 0770.34056Gesztesy, F.; Simon, B. 13 1993 Absolute summability of the trace relation for certain Schrödinger operators. Zbl 0821.34076Gesztesy, Fritz; Holden, Helge; Simon, Barry 13 1995 The limiting absorption principle for massless Dirac operators, Properties of spectral shift functions, and an application to the Witten index of non-Fredholm operators. Zbl 07713957Carey, Alan; Gesztesy, Fritz; Levitina, Galina; Nichols, Roger; Sukochev, Fedor; Zanin, Dmitriy 1 2023 The generalized Birman-Schwinger principle. Zbl 07462172Behrndt, Jussi; ter Elst, A. F. M.; Gesztesy, Fritz 3 2022 A sequence of weighted Birman-Hardy-Rellich inequalities with logarithmic refinements. Zbl 1501.26011Gesztesy, Fritz; Littlejohn, Lance L.; Michael, Isaac; Pang, Michael M. H. 1 2022 A survey of some norm inequalities. Zbl 1514.47015Gesztesy, Fritz; Nichols, Roger; Stanfill, Jonathan 1 2021 Bessel-type operators and a refinement of Hardy’s inequality. Zbl 1491.26015Gesztesy, Fritz; Pang, Michael M. H.; Stanfill, Jonathan 1 2021 The product formula for regularized Fredholm determinants. Zbl 07326419Britz, Thomas; Carey, Alan; Gesztesy, Fritz; Nichols, Roger; Sukochev, Fedor; Zanin, Dmitriy 1 2021 Spectral \(\zeta\)-functions and \(\zeta\)-regularized functional determinants for regular Sturm-Liouville operators. Zbl 1496.47010Fucci, Guglielmo; Gesztesy, Fritz; Kirsten, Klaus; 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 12 2020 The inverse approach to Dirac-type systems based on the \(A\)-function concept. Zbl 1470.34053Gesztesy, Fritz; Sakhnovich, Alexander 8 2020 On absence of threshold resonances for Schrödinger and Dirac operators. Zbl 1459.35107Gesztesy, Fritz; Nichols, Roger 2 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 Radial and logarithmic refinements of Hardy’s inequality. Zbl 1414.35010Gesztesy, F.; Littlejohn, L. L.; Michael, I.; Pang, M. M. H. 11 2019 Effective computation of traces, determinants, and \(\zeta\)-functions for Sturm-Liouville operators. Zbl 06988448Gesztesy, Fritz; Kirsten, Klaus 8 2019 On a theorem of Z. Sebestyén and Zs. Tarcsay. Zbl 1438.47040Gesztesy, Fritz; Schmüdgen, Konrad 4 2019 On traces and modified Fredholm determinants for half-line Schrödinger operators with purely discrete spectra. Zbl 1500.47067Gesztesy, Fritz; Kirsten, Klaus 1 2019 Donoghue-type \(m\)-functions for Schrödinger operators with operator-valued potentials. Zbl 07074793Gesztesy, Fritz; Naboko, Sergey N.; Weikard, Rudi; Zinchenko, Maxim 1 2019 Factorizations and Hardy-Rellich-type inequalities. Zbl 1402.35014Gesztesy, Fritz; Littlejohn, Lance 15 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 8 2018 Spectral shift functions and Dirichlet-to-Neumann maps. Zbl 1417.35016Behrndt, Jussi; Gesztesy, Fritz; Nakamura, Shu 4 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 14 2017 On the Witten index in terms of spectral shift functions. Zbl 1481.47012Carey, Alan; Gesztesy, Fritz; Potapov, Denis; Sukochev, Fedor; Tomilov, Yuri 10 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 4 2017 On (conditional) positive semidefiniteness in a matrix-valued context. Zbl 1387.47010Gesztesy, Fritz; Pang, Michael 4 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 9 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 6 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 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 On the index of a non-Fredholm model operator. Zbl 1356.47018Carey, Alan; Gesztesy, Fritz; Levitina, Galina; Sukochev, Fedor 4 2016 The Krein-von Neumann realization of perturbed Laplacians on bounded Lipschitz domains. Zbl 1372.35200Behrndt, Jussi; Gesztesy, Fritz; Micheler, Till; Mitrea, Marius 4 2016 The Callias index formula revisited. Zbl 1359.47001Gesztesy, Fritz; Waurick, Marcus 3 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 stability of square root domains for non-self-adjoint operators under additive perturbations. Zbl 1345.47015Gesztesy, Fritz; Hofmann, Steve; Nichols, Roger 3 2016 Principal solutions revisited. Zbl 1508.34022Clark, Stephen; Gesztesy, Fritz; Nichols, Roger 3 2016 The spectral shift function and the Witten index. Zbl 06981831Carey, Alan; Gesztesy, Fritz; Levitina, Galina; Sukochev, Fedor 2 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 2 2016 Selecta. Volume 2. Edited by Fritz Gesztesy, Gilles Godefroy, Loukas Grafakos and Igor Verbitsky. Zbl 1347.01021Kalton, Nigel J. 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 11 2015 Some operator bounds employing complex interpolation revisited. Zbl 1380.47012Gesztesy, Fritz; Latushkin, Yuri; Sukochev, Fedor; Tomilov, Yuri 7 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 On factorizations of analytic operator-valued functions and eigenvalue multiplicity questions. Zbl 1316.47014Gesztesy, Fritz; Holden, Helge; 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 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 15 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 10 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 9 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 52 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 17 2013 Inverse spectral theory for Sturm-Liouville operators with distributional potentials. Zbl 1302.34127Eckhardt, Jonathan; Gesztesy, Fritz; Nichols, Roger; Teschl, Gerald 15 2013 Initial value problems and Weyl-Titchmarsh theory for Schrödinger operators with operator-valued potentials. Zbl 1283.34023Gesztesy, Fritz; Weikard, R.; Zinchenko, Maxim 12 2013 On spectral theory for Schrödinger operators with operator-valued potentials. Zbl 1291.34139Gesztesy, Fritz; Weikard, Rudi; Zinchenko, Maxim 9 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 31 2012 Abstract wave equations and associated Dirac-type operators. Zbl 1262.35174Gesztesy, Fritz; Goldstein, Jerome A.; Holden, Helge; Teschl, Gerald 10 2012 Symmetrized perturbation determinants and applications to boundary data maps and Krein-type resolvent formulas. Zbl 1247.34030Gesztesy, Fritz; Zinchenko, Maxim 10 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 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 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 58 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 19 2011 The damped string problem revisited. Zbl 1223.47049Gesztesy, Fritz; Holden, Helge 16 2011 On the nature of the Laplace-Beltrami operator on Lipschitz manifolds. Zbl 1222.58020Gesztesy, F.; Mitrea, I.; Mitrea, D.; Mitrea, M. 9 2011 Spectral theory for perturbed Krein Laplacians in nonsmooth domains. Zbl 1191.35188Ashbaugh, Mark S.; Gesztesy, Fritz; Mitrea, Marius; Teschl, Gerald 30 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 16 2010 Spectral estimation and inverse initial boundary value problems. Zbl 1193.93071Avdonin, Sergei; Gesztesy, Fritz; Makarov, Konstantin A. 15 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 31 2009 Robin-to-Robin maps and Krein-type resolvent formulas for Schrödinger operators on bounded Lipschitz domains. Zbl 1180.35186Gesztesy, Fritz; Mitrea, Marius 23 2009 A criterion for Hill operators to be spectral operators of scalar type. Zbl 1193.47037Gesztesy, Fritz; Trachenko, Vadim 22 2009 Generalized polar decompositions for closed operators in Hilbert spaces and some applications. Zbl 1200.47003Gesztesy, Fritz; Malamud, Mark; Mitrea, Marius; Naboko, Serguei 19 2009 Local spectral properties of reflectionless Jacobi, CMV, and Schrödinger operators. Zbl 1165.34051Gesztesy, Fritz; Zinchenko, Maxim 15 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 58 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 50 2008 Real-valued algebro-geometric solutions of the Camassa-Holm hierarchy. Zbl 1153.37427Gesztesy, Fritz; Holden, Helge 22 2008 On the Koplienko spectral shift function. I: Basics. Zbl 1190.47016Gesztesy, F.; Pushnitski, A.; Simon, B. 19 2008 Derivatives of (modified) Fredholm determinants and stability of standing and traveling waves. Zbl 1161.47058Gesztesy, Fritz; Latushkin, Yuri; Zumbrun, Kevin 18 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 7 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 28 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 11 2007 Inverse spectral theory as influenced by Barry Simon. Zbl 1135.34006Gesztesy, Fritz 9 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 5 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 56 2006 Weyl–Titchmarsh theory for CMV operators associated with orthogonal polynomials on the unit circle. Zbl 1118.47023Gesztesy, Fritz; Zinchenko, Maxim 38 2006 ...and 160 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,153 Authors 131 Gesztesy, Fritz 52 Malamud, Mark M. 50 Geng, Xianguo 50 Yang, Chuanfu 45 Albeverio, Sergio A. 45 Teschl, Gerald 44 Exner, Pavel 39 Behrndt, Jussi 37 Simon, Barry 36 Sakhnovich, Alexander L. 34 Wei, Guangsheng 23 Kostenko, Aleksey S. 22 Holden, Helge 22 Ma, Wen-Xiu 22 Posilicano, Andrea 21 Tsekanovskii, Eduard R. 20 Damanik, David 20 Fan, Engui 20 Hasil, Petr 19 Popov, Igor’ Yur’evich 19 Sukochev, Fedor Anatol’evich 19 Wang, Yuping 19 Weikard, Rudi 18 Eckhardt, Jonathan 18 Geyler, Vladimir A. 18 Mitrea, Marius 18 Neidhardt, Hagen 17 Bondarenko, Natalia P. 17 Lotoreichik, Vladimir 17 Shieh, Chung-Tsun 17 Vesely, Michal 16 Borisov, Denis Ivanovich 16 Korotyaev, Evgeny L. 16 Latushkin, Yuri 15 Hassi, Seppo 15 Koshmanenko, Volodymyr Dmytrovych 15 Michelangeli, Alessandro 15 Nazarov, Sergeĭ Aleksandrovich 15 Nichols, Roger 15 Pankrashkin, Konstantin 14 Kurasov, Pavel B. 14 Teta, Alessandro 14 Ugurlu, Ekin 14 Xue, Bo 14 Zinchenko, Maxim 13 de Snoo, Hendrik S. V. 13 Kirsten, Klaus 13 Makarov, Konstantin A. 13 Šeba, Petr 13 Zemánek, Petr 12 Fritzsche, Bernd 12 He, Guoliang 12 Hryniv, Rostyslav O. 12 Kirstein, Bernd 12 Ong, Darren C. 12 Silva, Luis O. 12 Yurko, Vjacheslav Anatoljevich 12 Zeng, Xin 11 Belyi, Sergey V. 11 Cacciapuoti, Claudio 11 Carey, Alan L. 11 Fillman, Jake 11 Guo, Yongxia 11 Nguyen Tuan Duy 11 Potapov, Denis 11 Rohleder, Jonathan 11 Rybkin, Alexei 11 Schlag, Wilhelm 11 Shi, Yuming 11 Wei, Jiao 11 Zhao, Peng 10 Arlins’kyĭ, Yuriĭ Moĭseĭovych 10 Boumenir, Amin A. 10 Derevyagin, Maxim S. 10 Koyunbakan, Hikmet 10 Krejčiřík, David 10 Lam, Nguyen 10 Lin, Chang-Shou 10 Lukic, Milivoje 10 Nicoleau, François 10 Qiao, Zhijun 10 Remling, Christian 10 Wu, Lihua 9 Brown, B. 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Series S 5 Bulletin of Mathematical Sciences ...and 243 more Serials all top 5 Cited in 57 Fields 970 Operator theory (47-XX) 953 Partial differential equations (35-XX) 839 Ordinary differential equations (34-XX) 704 Quantum theory (81-XX) 352 Dynamical systems and ergodic theory (37-XX) 141 Functional analysis (46-XX) 125 Statistical mechanics, structure of matter (82-XX) 89 Difference and functional equations (39-XX) 83 Global analysis, analysis on manifolds (58-XX) 75 Algebraic geometry (14-XX) 73 Functions of a complex variable (30-XX) 68 Linear and multilinear algebra; matrix theory (15-XX) 68 Probability theory and stochastic processes (60-XX) 68 Numerical analysis (65-XX) 59 Harmonic analysis on Euclidean spaces (42-XX) 51 Special functions (33-XX) 42 Optics, electromagnetic theory (78-XX) 35 Real functions (26-XX) 33 Fluid mechanics (76-XX) 31 Mechanics of particles and systems (70-XX) 30 Mechanics of deformable solids (74-XX) 25 Differential geometry (53-XX) 24 Integral equations (45-XX) 21 Combinatorics (05-XX) 19 Potential theory (31-XX) 16 Calculus of variations and optimal control; optimization (49-XX) 16 Relativity and gravitational theory (83-XX) 14 Number theory (11-XX) 14 Approximations and expansions (41-XX) 14 Integral transforms, operational calculus (44-XX) 14 Systems theory; control (93-XX) 10 Measure and integration (28-XX) 10 Statistics (62-XX) 9 \(K\)-theory (19-XX) 9 Several complex variables and analytic spaces (32-XX) 9 Information and communication theory, circuits (94-XX) 7 Computer science (68-XX) 6 Nonassociative rings and algebras (17-XX) 6 Topological groups, Lie groups (22-XX) 6 Abstract harmonic analysis (43-XX) 4 History and biography (01-XX) 4 Field theory and polynomials (12-XX) 4 Commutative algebra (13-XX) 4 Geophysics (86-XX) 4 Biology and other natural sciences (92-XX) 3 General and overarching topics; collections (00-XX) 3 Manifolds and cell complexes (57-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Associative rings and algebras (16-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 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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