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Pseudo-Differential Operators. Theory and Applications

Short Title: Pseudo-Differ. Oper., Theory Appl.
Publisher: Birkhäuser, Cham
ISSN: 2297-0355; 2297-0363/e
Online: http://rd.springer.com/bookseries/7390
Comments: Book series; Indexed cover-to-cover
Documents Indexed: 15 Publications (since 2008)

Publications by Year

Citations contained in zbMATH Open

13 Publications have been cited 684 times in 640 Documents Cited by Year
Pseudo-differential operators and symmetries. Background analysis and advanced topics. Zbl 1193.35261
Ruzhansky, Michael; Turunen, Ville
208
2010
Global pseudo-differential calculus on Euclidean spaces. Zbl 1257.47002
Nicola, Fabio; Rodino, Luigi
143
2010
Symplectic methods in harmonic analysis and in mathematical physics. Zbl 1247.81510
de Gosson, Maurice A.
124
2011
Metrics on the phase space and non-selfadjoint pseudo-differential operators. Zbl 1186.47001
Lerner, Nicolas
104
2010
Discrete Fourier analysis. Zbl 1226.42001
Wong, M. W.
32
2011
The Weyl operator and its generalization. Zbl 1393.47001
Cohen, Leon
19
2013
Pricing derivatives under Lévy models. Modern finite-difference and pseudo-differential operators approach. Zbl 1419.91002
Itkin, Andrey
17
2017
Functional analysis methods for reliability models. Zbl 1223.90004
Gupur, Geni
15
2011
Non-self-adjoint differential operators, spectral asymptotics and random perturbations. Zbl 1473.35004
Sjöstrand, Johannes
13
2019
Pseudodifferential analysis, automorphic distributions in the plane and modular forms. Zbl 1243.11057
Unterberger, André
3
2011
The localization problem in index theory of elliptic operators. Zbl 1297.58001
Nazaikinskii, Vladimir; Schulze, Bert-Wolfgang; Sternin, Boris
3
2014
Quantization and arithmetic. Zbl 1208.11004
Unterberger, André
2
2008
Pseudodifferential operators with automorphic symbols. Zbl 1330.11003
Unterberger, André
1
2015
Non-self-adjoint differential operators, spectral asymptotics and random perturbations. Zbl 1473.35004
Sjöstrand, Johannes
13
2019
Pricing derivatives under Lévy models. Modern finite-difference and pseudo-differential operators approach. Zbl 1419.91002
Itkin, Andrey
17
2017
Pseudodifferential operators with automorphic symbols. Zbl 1330.11003
Unterberger, André
1
2015
The localization problem in index theory of elliptic operators. Zbl 1297.58001
Nazaikinskii, Vladimir; Schulze, Bert-Wolfgang; Sternin, Boris
3
2014
The Weyl operator and its generalization. Zbl 1393.47001
Cohen, Leon
19
2013
Symplectic methods in harmonic analysis and in mathematical physics. Zbl 1247.81510
de Gosson, Maurice A.
124
2011
Discrete Fourier analysis. Zbl 1226.42001
Wong, M. W.
32
2011
Functional analysis methods for reliability models. Zbl 1223.90004
Gupur, Geni
15
2011
Pseudodifferential analysis, automorphic distributions in the plane and modular forms. Zbl 1243.11057
Unterberger, André
3
2011
Pseudo-differential operators and symmetries. Background analysis and advanced topics. Zbl 1193.35261
Ruzhansky, Michael; Turunen, Ville
208
2010
Global pseudo-differential calculus on Euclidean spaces. Zbl 1257.47002
Nicola, Fabio; Rodino, Luigi
143
2010
Metrics on the phase space and non-selfadjoint pseudo-differential operators. Zbl 1186.47001
Lerner, Nicolas
104
2010
Quantization and arithmetic. Zbl 1208.11004
Unterberger, André
2
2008
all top 5

Cited by 538 Authors

66 Ruzhansky, Michael V.
33 de Gosson, Maurice Alexis
29 Nicola, Fabio
28 Cordero, Elena
25 Cardona, Duván
23 Pilipović, Stevan
22 Delgado, Julio
16 Kumar, Vishvesh
16 Rodino, Luigi
14 Wahlberg, Patrik
13 Prangoski, Bojan
13 Trapasso, Salvatore Ivan
11 Gupur, Geni
11 Teofanov, Nenad
11 Toft, Joachim
10 Pravda-Starov, Karel
10 Tokmagambetov, Niyaz Esenzholovich
9 Faulhuber, Markus
9 Li, Weixi
9 Mondal, Shyam Swarup
9 Parmeggiani, Alberto
8 Akylzhanov, Rauan Kh.
8 Amour, Laurent
8 Dasgupta, Aparajita
8 Lerner, Nicolas
8 Los, Valerii M.
8 Luef, Franz
8 Nourrigat, Jean Francois
8 Vindas, Jasson
8 Wong, Man Wah
7 Dias, Nuno Costa
7 Federico, Serena
7 Léautaud, Matthieu
7 Murach, Aleksandr A.
7 Prata, João Nuno
7 Skrettingland, Eirik
6 Bernier, Joackim
6 Cohen, Leon
6 Deng, Dingqun
6 Kirilov, Alexandre
6 Măntoiu, Marius Laurențiu
6 Oliaro, Alessandro
6 Schulz, René M.
6 Sukochev, Fedor Anatol’evich
5 Applebaum, David B.
5 Bastianoni, Federico
5 Cappiello, Marco
5 de Ávila Silva, Fernando
5 de Moraes, Wagner Augusto Almeida
5 Ghaemi, Mohammad Bagher
5 Hitrik, Michael
5 Jornet, David
5 Kasim, Ehmet
5 Sjöstrand, Johannes
5 Wirth, Jens
5 Zanin, Dmitriy V.
4 Alphonse, Paul
4 Bhimani, Divyang G.
4 Boiti, Chiara
4 Chatzakou, Marianna
4 Coriasco, Sandro
4 Fischer, Véronique
4 Garetto, Claudia
4 Gramchev, Todor V.
4 Gröchenig, Karlheinz
4 Hérau, Frédéric
4 Jager, Lisette
4 Keller, Johannes
4 Kiran, N. Uday
4 Lascar, Richard
4 Liu, Lvqiao
4 Molahajloo, Shahla
4 Morando, Alessandro
4 Nursultanov, Erlan D.
4 Palmieri, Alessandro
4 Pattar, Rahul Raju
4 Ponge, Raphaël S.
4 Torebek, Berikbol Tillabayuly
4 Unterberger, André
3 Abdeljawad, Ahmed
3 Asensio, Vicente
3 Bagchi, Sayan
3 Ben-Benjamin, Jonathan S.
3 Catană, Viorel
3 Del Corral, César
3 Fathizadeh, Farzad
3 Faure, Frédéric
3 Ferra, Igor Ambo
3 Garello, Gianluca
3 Gazeau, Jean-Pierre
3 Górka, Przemysław
3 Itkin, Andrey
3 Jamalpourbirgani, Majid
3 Kisil, Vladimir V.
3 Kolev, Boris
3 Kumanogo, Naoto
3 Lasser, Caroline
3 Le Rousseau, Jérôme H.
3 Lee, Gihyun
3 Lopes, Pedro T. P.
...and 438 more Authors
all top 5

Cited in 196 Journals

75 Journal of Pseudo-Differential Operators and Applications
33 The Journal of Fourier Analysis and Applications
29 Journal of Functional Analysis
17 Journal de Mathématiques Pures et Appliquées. Neuvième Série
15 Journal of Mathematical Analysis and Applications
14 Journal of Differential Equations
12 Journal of Mathematical Physics
11 Mathematische Nachrichten
11 Applied and Computational Harmonic Analysis
10 Monatshefte für Mathematik
9 Journal d’Analyse Mathématique
9 Advances in Mathematics
9 Proceedings of the American Mathematical Society
9 Bulletin des Sciences Mathématiques
8 Ukrainian Mathematical Journal
7 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Communications in Mathematical Physics
6 Annali di Matematica Pura ed Applicata. Serie Quarta
6 Transactions of the American Mathematical Society
6 SIAM Journal on Mathematical Analysis
6 Annales Henri Poincaré
5 Archive for Rational Mechanics and Analysis
5 Integral Equations and Operator Theory
5 Journal of Mathematical Sciences (New York)
5 Communications on Pure and Applied Analysis
5 Analysis and Applications (Singapore)
5 Mediterranean Journal of Mathematics
5 Complex Variables and Elliptic Equations
4 Journal of Statistical Physics
4 Physics Letters. A
4 Functional Analysis and its Applications
4 Mathematische Zeitschrift
4 Results in Mathematics
4 Journal of the Institute of Mathematics of Jussieu
4 Foundations of Physics
4 Complex Analysis and Operator Theory
4 Banach Journal of Mathematical Analysis
4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
3 Classical and Quantum Gravity
3 Israel Journal of Mathematics
3 Letters in Mathematical Physics
3 Journal of Geometry and Physics
3 Annales de l’Institut Fourier
3 Collectanea Mathematica
3 Journal of Computational and Applied Mathematics
3 Mathematische Annalen
3 International Journal of Mathematics
3 Calculus of Variations and Partial Differential Equations
3 Journal of the European Mathematical Society (JEMS)
3 Boundary Value Problems
3 Analysis and Mathematical Physics
3 Open Mathematics
2 Mathematical Notes
2 Studia Mathematica
2 Reviews in Mathematical Physics
2 Archiv der Mathematik
2 Journal of the London Mathematical Society. Second Series
2 Osaka Journal of Mathematics
2 Applications of Mathematics
2 Communications in Partial Differential Equations
2 Indagationes Mathematicae. New Series
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Potential Analysis
2 NoDEA. Nonlinear Differential Equations and Applications
2 Journal of Lie Theory
2 Discrete and Continuous Dynamical Systems
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Acta Mathematica Sinica. English Series
2 Journal of High Energy Physics
2 Journal of Evolution Equations
2 International Journal of Wavelets, Multiresolution and Information Processing
2 Journal of Hyperbolic Differential Equations
2 Journal of Noncommutative Geometry
2 Journal of Physics A: Mathematical and Theoretical
2 Mathematical Modelling of Natural Phenomena
2 Kinetic and Related Models
2 Science China. Mathematics
2 Annals of Functional Analysis
2 Journal of Spectral Theory
2 Bulletin of Mathematical Sciences
2 Afrika Matematika
2 Quanta
2 Journal of Function Spaces
2 Journal de l’École Polytechnique – Mathématiques
2 Séminaire Laurent Schwartz. EDP et Applications
2 Transactions of A. Razmadze Mathematical Institute
2 Annales Henri Lebesgue
2 Frontiers of Mathematical Finance
1 Applicable Analysis
1 Bulletin of the Australian Mathematical Society
1 General Relativity and Gravitation
1 International Journal of Control
1 International Journal of Engineering Science
1 Journal of the Franklin Institute
1 Linear and Multilinear Algebra
1 Mathematical Methods in the Applied Sciences
1 Nonlinearity
1 Physica A
1 Physics Reports
1 Reports on Mathematical Physics
...and 96 more Journals
all top 5

Cited in 51 Fields

351 Partial differential equations (35-XX)
217 Operator theory (47-XX)
141 Harmonic analysis on Euclidean spaces (42-XX)
135 Functional analysis (46-XX)
100 Quantum theory (81-XX)
82 Global analysis, analysis on manifolds (58-XX)
75 Abstract harmonic analysis (43-XX)
61 Topological groups, Lie groups (22-XX)
44 Probability theory and stochastic processes (60-XX)
26 Numerical analysis (65-XX)
19 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
18 Statistical mechanics, structure of matter (82-XX)
17 Systems theory; control (93-XX)
16 Special functions (33-XX)
16 Differential geometry (53-XX)
13 Integral transforms, operational calculus (44-XX)
13 Information and communication theory, circuits (94-XX)
11 Fluid mechanics (76-XX)
10 Ordinary differential equations (34-XX)
8 Linear and multilinear algebra; matrix theory (15-XX)
8 Real functions (26-XX)
8 Dynamical systems and ergodic theory (37-XX)
8 Mechanics of particles and systems (70-XX)
7 Group theory and generalizations (20-XX)
7 Functions of a complex variable (30-XX)
7 Operations research, mathematical programming (90-XX)
6 Relativity and gravitational theory (83-XX)
5 Number theory (11-XX)
5 Several complex variables and analytic spaces (32-XX)
5 Statistics (62-XX)
5 Optics, electromagnetic theory (78-XX)
4 Nonassociative rings and algebras (17-XX)
4 \(K\)-theory (19-XX)
4 Measure and integration (28-XX)
4 Difference and functional equations (39-XX)
4 Approximations and expansions (41-XX)
4 Integral equations (45-XX)
3 Geometry (51-XX)
2 Associative rings and algebras (16-XX)
2 Potential theory (31-XX)
2 Sequences, series, summability (40-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Convex and discrete geometry (52-XX)
2 Astronomy and astrophysics (85-XX)
1 History and biography (01-XX)
1 Combinatorics (05-XX)
1 Commutative algebra (13-XX)
1 Algebraic topology (55-XX)
1 Computer science (68-XX)
1 Mechanics of deformable solids (74-XX)
1 Geophysics (86-XX)

Citations by Year