## Melin, Anders

Compute Distance To:
 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
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### 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
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### 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)

### 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 0211.17102
Melin, A.
1971
Fourier integral operators with complex-valued phase functions. Zbl 0306.42007
Melin, Anders; Sjöstrand, Johannes
1975
Fourier integral operators with complex phase functions and parametrix for an interior boundary value problem. Zbl 0364.35049
Melin, Anders; Sjöstrand, Johannes
1976
Parametrix constructions for right invariant differential operators on nilpotent groups. Zbl 0524.58044
Melin, Anders
1983
Operator methods for inverse scattering on the real line. Zbl 0585.35077
Melin, Anders
1985
A remark on perturbations of compact operators. Zbl 0824.47008
Hörmander, Lars; Melin, Anders
1994
Parametrix constructions for some classes of right-invariant differential operators on the Heisenberg group. Zbl 0486.35007
Melin, Anders
1981
Free systems of vector fields. Zbl 0383.35013
Hörmander, Lars; Melin, Anders
1978
Determinants of pseudodifferential operators and complex deformations of phase space. Zbl 1082.35176
Melin, A.; Sjöstrand, J.
2002
Bohr-Sommerfeld quantization condition for non-selfadjoint operators in dimension 2. Zbl 1061.35186
Melin, Anders; Sjöstrand, Johannes
2003
Local smoothing for the backscattering transform. Zbl 1171.35124
Beltiţă, Ingrid; Melin, Anders
2009
A calculus for Fourier integral operators in domains with boundary and applications to the oblique derivative problem. Zbl 0392.35055
Melin, Anders; Sjöstrand, Johannes
1977
Analysis of the quadratic term in the backscattering transformation. Zbl 1181.47028
Beltiţă, Ingrid; Melin, Anders
2009
Fourier intégraux à phases complexes. Zbl 0296.42023
Melin, A.; Sjöstrand, J.
1974
Trace distributions associated to the Schrödinger operator. Zbl 0807.35169
Melin, Anders
1992
The quadratic contribution to the backscattering transform in the rotation invariant case. Zbl 1208.81195
Beltiţă, Ingrid; Melin, Anders
2010
Intertwining methods in the problem of inverse scattering. Zbl 0618.35029
Melin, Anders
1986
Some problems in inverse scattering theory. Zbl 0641.35053
Melin, Anders
1987
On functions of the Schrödinger operator and a trace formula. Zbl 0759.35017
Melin, A.
1991
Some transforms in potential scattering in odd dimension. Zbl 1062.35176
Melin, Anders
2004
A remark on invariant pseudo-differential operators. Zbl 0258.22013
Melin, Anders
1972
The Lippmann-Schwinger equation treated as a characteristic Cauchy problem. Zbl 0702.35065
Melin, A.
1989
The quadratic contribution to the backscattering transform in the rotation invariant case. Zbl 1208.81195
Beltiţă, Ingrid; Melin, Anders
2010
Local smoothing for the backscattering transform. Zbl 1171.35124
Beltiţă, Ingrid; Melin, Anders
2009
Analysis of the quadratic term in the backscattering transformation. Zbl 1181.47028
Beltiţă, Ingrid; Melin, Anders
2009
Some transforms in potential scattering in odd dimension. Zbl 1062.35176
Melin, Anders
2004
Bohr-Sommerfeld quantization condition for non-selfadjoint operators in dimension 2. Zbl 1061.35186
Melin, Anders; Sjöstrand, Johannes
2003
Determinants of pseudodifferential operators and complex deformations of phase space. Zbl 1082.35176
Melin, A.; Sjöstrand, J.
2002
A remark on perturbations of compact operators. Zbl 0824.47008
Hörmander, Lars; Melin, Anders
1994
Trace distributions associated to the Schrödinger operator. Zbl 0807.35169
Melin, Anders
1992
On functions of the Schrödinger operator and a trace formula. Zbl 0759.35017
Melin, A.
1991
The Lippmann-Schwinger equation treated as a characteristic Cauchy problem. Zbl 0702.35065
Melin, A.
1989
Some problems in inverse scattering theory. Zbl 0641.35053
Melin, Anders
1987
Intertwining methods in the problem of inverse scattering. Zbl 0618.35029
Melin, Anders
1986
Operator methods for inverse scattering on the real line. Zbl 0585.35077
Melin, Anders
1985
Parametrix constructions for right invariant differential operators on nilpotent groups. Zbl 0524.58044
Melin, Anders
1983
Parametrix constructions for some classes of right-invariant differential operators on the Heisenberg group. Zbl 0486.35007
Melin, Anders
1981
Free systems of vector fields. Zbl 0383.35013
Hörmander, Lars; Melin, Anders
1978
A calculus for Fourier integral operators in domains with boundary and applications to the oblique derivative problem. Zbl 0392.35055
Melin, Anders; Sjöstrand, Johannes
1977
Fourier integral operators with complex phase functions and parametrix for an interior boundary value problem. Zbl 0364.35049
Melin, Anders; Sjöstrand, Johannes
1976
Fourier integral operators with complex-valued phase functions. Zbl 0306.42007
Melin, Anders; Sjöstrand, Johannes
1975
Fourier intégraux à phases complexes. Zbl 0296.42023
Melin, A.; Sjöstrand, J.
1974
A remark on invariant pseudo-differential operators. Zbl 0258.22013
Melin, Anders
1972
Lower bounds for pseudo-differential operators. Zbl 0211.17102
Melin, A.
1971
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### 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
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### 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
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### 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)