Edit Profile (opens in new tab) Melin, Anders Compute Distance To: Compute Author ID: melin.anders Published as: Melin, Anders; Melin, A. Documents Indexed: 32 Publications since 1971 1 Contribution as Editor Co-Authors: 4 Co-Authors with 14 Joint Publications 102 Co-Co-Authors Co-Authors 19 single-authored 7 Sjöstrand, Johannes 3 Beltiţă, Ingrid 3 Hörmander, Lars Valter 1 Holst, Anders all top 5 Serials 5 Communications in Partial Differential Equations 3 Mathematica Scandinavica 2 Arkiv för Matematik 1 Journal d’Analyse Mathématique 1 Annals of Global Analysis and Geometry 1 Séminaire Équations aux Dérivées Partielles 1 Methods and Applications of Analysis 1 Inverse Problems and Imaging 1 Progress in Nonlinear Differential Equations and Their Applications all top 5 Fields 27 Partial differential equations (35-XX) 11 Quantum theory (81-XX) 9 Operator theory (47-XX) 8 Global analysis, analysis on manifolds (58-XX) 3 Topological groups, Lie groups (22-XX) 2 Ordinary differential equations (34-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Numerical analysis (65-XX) 1 General and overarching topics; collections (00-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 22 Publications have been cited 269 times in 237 Documents Cited by ▼ Year ▼ Lower bounds for pseudo-differential operators. Zbl 0211.17102Melin, A. 51 1971 Fourier integral operators with complex-valued phase functions. Zbl 0306.42007Melin, Anders; Sjöstrand, Johannes 42 1975 Fourier integral operators with complex phase functions and parametrix for an interior boundary value problem. Zbl 0364.35049Melin, Anders; Sjöstrand, Johannes 32 1976 Parametrix constructions for right invariant differential operators on nilpotent groups. Zbl 0524.58044Melin, Anders 28 1983 Operator methods for inverse scattering on the real line. Zbl 0585.35077Melin, Anders 28 1985 A remark on perturbations of compact operators. Zbl 0824.47008Hörmander, Lars; Melin, Anders 21 1994 Parametrix constructions for some classes of right-invariant differential operators on the Heisenberg group. Zbl 0486.35007Melin, Anders 14 1981 Free systems of vector fields. Zbl 0383.35013Hörmander, Lars; Melin, Anders 12 1978 Determinants of pseudodifferential operators and complex deformations of phase space. Zbl 1082.35176Melin, A.; Sjöstrand, J. 10 2002 Bohr-Sommerfeld quantization condition for non-selfadjoint operators in dimension 2. Zbl 1061.35186Melin, Anders; Sjöstrand, Johannes 6 2003 Local smoothing for the backscattering transform. Zbl 1171.35124Beltiţă, Ingrid; Melin, Anders 5 2009 A calculus for Fourier integral operators in domains with boundary and applications to the oblique derivative problem. Zbl 0392.35055Melin, Anders; Sjöstrand, Johannes 5 1977 Analysis of the quadratic term in the backscattering transformation. Zbl 1181.47028Beltiţă, Ingrid; Melin, Anders 3 2009 Fourier intégraux à phases complexes. Zbl 0296.42023Melin, A.; Sjöstrand, J. 2 1974 Trace distributions associated to the Schrödinger operator. Zbl 0807.35169Melin, Anders 2 1992 The quadratic contribution to the backscattering transform in the rotation invariant case. Zbl 1208.81195Beltiţă, Ingrid; Melin, Anders 2 2010 Intertwining methods in the problem of inverse scattering. Zbl 0618.35029Melin, Anders 1 1986 Some problems in inverse scattering theory. Zbl 0641.35053Melin, Anders 1 1987 On functions of the Schrödinger operator and a trace formula. Zbl 0759.35017Melin, A. 1 1991 Some transforms in potential scattering in odd dimension. Zbl 1062.35176Melin, Anders 1 2004 A remark on invariant pseudo-differential operators. Zbl 0258.22013Melin, Anders 1 1972 The Lippmann-Schwinger equation treated as a characteristic Cauchy problem. Zbl 0702.35065Melin, A. 1 1989 The quadratic contribution to the backscattering transform in the rotation invariant case. Zbl 1208.81195Beltiţă, Ingrid; Melin, Anders 2 2010 Local smoothing for the backscattering transform. Zbl 1171.35124Beltiţă, Ingrid; Melin, Anders 5 2009 Analysis of the quadratic term in the backscattering transformation. Zbl 1181.47028Beltiţă, Ingrid; Melin, Anders 3 2009 Some transforms in potential scattering in odd dimension. Zbl 1062.35176Melin, Anders 1 2004 Bohr-Sommerfeld quantization condition for non-selfadjoint operators in dimension 2. Zbl 1061.35186Melin, Anders; Sjöstrand, Johannes 6 2003 Determinants of pseudodifferential operators and complex deformations of phase space. Zbl 1082.35176Melin, A.; Sjöstrand, J. 10 2002 A remark on perturbations of compact operators. Zbl 0824.47008Hörmander, Lars; Melin, Anders 21 1994 Trace distributions associated to the Schrödinger operator. Zbl 0807.35169Melin, Anders 2 1992 On functions of the Schrödinger operator and a trace formula. Zbl 0759.35017Melin, A. 1 1991 The Lippmann-Schwinger equation treated as a characteristic Cauchy problem. Zbl 0702.35065Melin, A. 1 1989 Some problems in inverse scattering theory. Zbl 0641.35053Melin, Anders 1 1987 Intertwining methods in the problem of inverse scattering. Zbl 0618.35029Melin, Anders 1 1986 Operator methods for inverse scattering on the real line. Zbl 0585.35077Melin, Anders 28 1985 Parametrix constructions for right invariant differential operators on nilpotent groups. Zbl 0524.58044Melin, Anders 28 1983 Parametrix constructions for some classes of right-invariant differential operators on the Heisenberg group. Zbl 0486.35007Melin, Anders 14 1981 Free systems of vector fields. Zbl 0383.35013Hörmander, Lars; Melin, Anders 12 1978 A calculus for Fourier integral operators in domains with boundary and applications to the oblique derivative problem. Zbl 0392.35055Melin, Anders; Sjöstrand, Johannes 5 1977 Fourier integral operators with complex phase functions and parametrix for an interior boundary value problem. Zbl 0364.35049Melin, Anders; Sjöstrand, Johannes 32 1976 Fourier integral operators with complex-valued phase functions. Zbl 0306.42007Melin, Anders; Sjöstrand, Johannes 42 1975 Fourier intégraux à phases complexes. Zbl 0296.42023Melin, A.; Sjöstrand, J. 2 1974 A remark on invariant pseudo-differential operators. Zbl 0258.22013Melin, Anders 1 1972 Lower bounds for pseudo-differential operators. Zbl 0211.17102Melin, A. 51 1971 all cited Publications top 5 cited Publications all top 5 Cited by 214 Authors 20 Sjöstrand, Johannes 9 Głowacki, Paweł 8 Ran, André C. M. 6 Helffer, Bernard 6 Hitrik, Michael 6 Măntoiu, Marius Laurențiu 6 Zworski, Maciej 5 Nourrigat, Jean Francois 5 Parmeggiani, Alberto 5 Taira, Kazuaki 4 Dopico, Froilán M. 4 Guillemin, Victor W. 4 Hryniv, Rostyslav O. 4 Mehl, Christian 4 Mehrmann, Volker 4 Menikoff, A. 4 Rodman, Leiba X. 4 Ruzhansky, Michael V. 4 Van der Mee, Cornelis Victor Maria 4 Weder, Ricardo A. 3 Boutet de Monvel, Louis 3 de Terán, Fernando 3 Deleporte, Alix 3 Grigis, Alain 3 Hörmander, Lars Valter 3 Korotyaev, Evgeny L. 3 Martinez, André 3 Melin, Anders 3 Meroño, Cristóbal J. 3 Mughetti, Marco 3 Palagachev, Dian K. 3 Parenti, Cesare 3 Schapira, Pierre 3 Simon, Barry 3 Toft, Joachim 3 Weinstein, Alan David 2 Aktosun, Tuncay 2 Beltiţă, Ingrid 2 Berman, Robert J. 2 Citti, Giovanna 2 Dmytryshyn, Andrii R. 2 Dobosevych, Oles 2 Geller, Daryl 2 Hérau, Frédéric 2 Iwasaki, Chisato 2 Iwasaki, Nobuhisa 2 Lascar, Richard 2 Le Rousseau, Jérôme H. 2 Manchon, Dominique 2 Manfredini, Maria 2 Meladze, G. A. 2 Miller, Kenneth G. 2 Morame, Abderemane 2 Nicola, Fabio 2 Nishitani, Tatsuo 2 Pravda-Starov, Karel 2 Robinson, Derek W. 2 Rybkin, Alexei 2 Schulze, Bert-Wolfgang 2 Shubin, Mikhail Aleksandrovich 2 Sordoni, Vania 2 ter Elst, Antonius Frederik Maria 2 Trunk, Carsten 2 Unterberger, André 2 Vögel, Martin 2 Williams, Mark 2 Winzell, Bengt 2 Wojtylak, Michał 1 Adhikari, Bibhas 1 Amour, Laurent 1 Andler, Martin 1 Bao, Gang 1 Baragaña, Itziar 1 Basalaev, S. G. 1 Beals, Michael 1 Behrndt, Jussi 1 Beltiţă, Daniel 1 Benbernou, Amina Lahmar 1 Benchaou, Mohammed 1 Bengel, Gunter 1 Berndtsson, Bo 1 Bierkens, Joris 1 Bismut, Jean-Michel 1 Bonfiglioli, Andrea 1 Bordeaux Montrieux, William 1 Bouclet, Jean-Marc 1 Bramanti, Marco 1 Brandolini, Luca 1 Brummelhuis, Raymond 1 Bunoiu, Renata 1 Caro, Pedro 1 Christ, Michael 1 Colin de Verdière, Yves 1 Coré, Susana 1 Coriasco, Sandro 1 D’Agnolo, Andrea 1 Datchev, Kiril R. 1 Delort, Jean-Marc 1 Demontis, Francesco 1 Dencker, Nils ...and 114 more Authors all top 5 Cited in 80 Serials 23 Communications in Partial Differential Equations 14 Journal d’Analyse Mathématique 14 Journal of Functional Analysis 11 Linear Algebra and its Applications 8 Annales de l’Institut Fourier 8 Mathematische Annalen 7 Communications in Mathematical Physics 7 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 7 Inventiones Mathematicae 6 Arkiv för Matematik 6 Duke Mathematical Journal 6 Publications of the Research Institute for Mathematical Sciences, Kyoto University 6 Transactions of the American Mathematical Society 5 Mémoires de la Société Mathématique de France. Nouvelle Série 4 Journal of Mathematical Analysis and Applications 4 Annals of Global Analysis and Geometry 4 SIAM Journal on Matrix Analysis and Applications 4 Journal of Pseudo-Differential Operators and Applications 4 Journal of Spectral Theory 3 Journal of Mathematical Physics 3 Journal of Differential Equations 3 Journal of Soviet Mathematics 3 Proceedings of the Japan Academy. Series A 3 Revista Matemática Iberoamericana 3 Potential Analysis 2 Reviews in Mathematical Physics 2 Advances in Mathematics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Bulletin de la Société Mathématique de France 2 Acta Applicandae Mathematicae 2 The Journal of Geometric Analysis 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Bulletin of the American Mathematical Society. New Series 2 Annales de l’Institut Henri Poincaré. Physique Théorique 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Bulletin des Sciences Mathématiques 2 Journal of the European Mathematical Society (JEMS) 2 Bulletin of the American Mathematical Society 2 Proceedings of the Japan Academy 2 Complex Analysis and Operator Theory 1 Communications on Pure and Applied Mathematics 1 Linear and Multilinear Algebra 1 Mathematical Methods in the Applied Sciences 1 Mathematical Notes 1 Nonlinearity 1 Rocky Mountain Journal of Mathematics 1 Stochastics 1 Wave Motion 1 Journal of Geometry and Physics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII 1 BIT 1 Calcolo 1 Compositio Mathematica 1 Integral Equations and Operator Theory 1 Journal of Computational and Applied Mathematics 1 Journal of the Mathematical Society of Japan 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Nachrichten 1 Monatshefte für Mathematik 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 1 Forum Mathematicum 1 Sugaku Expositions 1 Journal of Global Optimization 1 SIAM Journal on Mathematical Analysis 1 Indagationes Mathematicae. New Series 1 Journal of Mathematical Imaging and Vision 1 Russian Journal of Mathematical Physics 1 Journal of Mathematical Sciences (New York) 1 Discrete and Continuous Dynamical Systems 1 The Journal of Fourier Analysis and Applications 1 Documenta Mathematica 1 Annals of Mathematics. Second Series 1 Annales Henri Poincaré 1 Journal of Nonlinear Mathematical Physics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Analysis and Applications (Singapore) 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Bulletin of Mathematical Sciences all top 5 Cited in 39 Fields 152 Partial differential equations (35-XX) 72 Operator theory (47-XX) 48 Global analysis, analysis on manifolds (58-XX) 39 Quantum theory (81-XX) 25 Topological groups, Lie groups (22-XX) 24 Ordinary differential equations (34-XX) 23 Abstract harmonic analysis (43-XX) 22 Linear and multilinear algebra; matrix theory (15-XX) 19 Numerical analysis (65-XX) 17 Functional analysis (46-XX) 16 Several complex variables and analytic spaces (32-XX) 9 Dynamical systems and ergodic theory (37-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 8 Differential geometry (53-XX) 6 Probability theory and stochastic processes (60-XX) 3 Special functions (33-XX) 3 Mechanics of particles and systems (70-XX) 3 Systems theory; control (93-XX) 2 Algebraic geometry (14-XX) 2 \(K\)-theory (19-XX) 2 Functions of a complex variable (30-XX) 2 Geophysics (86-XX) 1 History and biography (01-XX) 1 Associative rings and algebras (16-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-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 Algebraic topology (55-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year