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Robbiano, Luc

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Author ID: robbiano.luc Recent zbMATH articles by "Robbiano, Luc"
Published as: Robbiano, L.; Robbiano, Luc
Documents Indexed: 58 Publications since 1978, including 1 Book

Publications by Year

Citations contained in zbMATH

45 Publications have been cited 711 times in 524 Documents Cited by Year
Exact control of the heat equation. Zbl 0819.35071
Lebeau, G.; Robbiano, L.
255
1995
Stabilization of the wave equation by the boundary. Zbl 0884.58093
Lebeau, Gilles; Robbiano, Luc
68
1997
Uniqueness theorem adapted to the control of solutions of hyperbolic equations. Zbl 0735.35086
Robbiano, Luc
37
1991
Cost function and control of solutions of hyperbolic equations. Zbl 0882.35015
Robbiano, L.
36
1995
Uniqueness in the Cauchy problem for operators with partially holomorphic coefficients. Zbl 0909.35004
Robbiano, Luc; Zuily, Claude
31
1998
Spectral analysis of the interior transmission eigenvalue problem. Zbl 1296.35105
Robbiano, Luc
26
2013
Carleman estimate for elliptic operators with coefficients with jumps at an interface in arbitrary dimension and application to the null controllability of linear parabolic equations. Zbl 1202.35336
Le Rousseau, Jérôme; Robbiano, Luc
25
2010
Microlocal analytic smoothing effect for the Schrödinger equation. Zbl 0941.35014
Robbiano, Luc; Zuily, Claude
25
1999
Local well-posedness and blow-up in the energy space for a class of \(L^2\) critical dispersion generalized Benjamin-Ono equations. Zbl 1230.35102
Kenig, C. E.; Martel, Y.; Robbiano, L.
22
2011
Strichartz estimates for Schrödinger equations with variable coefficients. Zbl 1097.35002
Robbiano, Luc; Zuily, Claude
19
2005
The unique continuation property of an elliptic system. The Lamé system. Zbl 0832.73012
Dehman, B.; Robbiano, L.
18
1993
Degenerate parabolic operators of Kolmogorov type with a geometric control condition. Zbl 1311.93042
Beauchard, Karine; Helffer, Bernard; Henry, Raphael; Robbiano, Luc
17
2015
Local and global Carleman estimates for parabolic operators with coefficients with jumps at interfaces. Zbl 1218.35054
Le Rousseau, Jérôme; Robbiano, Luc
16
2011
Microlocal analytic regularization of the Schrödinger equation: The case of oscillating data. Zbl 0959.35007
Robbiano, Luc; Zuily, Claude
16
2000
Unicité de Cauchy pour des opérateurs de type principal. (Cauchy uniqueness for operators of principal type). Zbl 0574.35003
Lerner, Nicolas; Robbiano, Luc
11
1985
Analytic theory for the quadratic scattering wave front set and application to the Schrödinger equation. Zbl 1029.35001
Robbiano, Luc; Zuily, Claude
9
2002
Dimension des zéros d’une solution faible d’un opérateur elliptique. (Dimension of zeros of a weak solution of an elliptic operator). Zbl 0619.35032
Robbiano, Luc
7
1988
Counting function for interior transmission eigenvalues. Zbl 1332.35242
Robbiano, Luc
6
2016
Remark on the analytic smoothing for the Schrödinger equation. Zbl 0987.35009
Morimoto, Y.; Robbiano, L.; Zuily, C.
6
2000
Sur les zéros de solutions d’inégalités différentielles elliptiques. (On zeros of solutions of elliptic differential inequalities). Zbl 0654.35036
Robbiano, Luc
6
1987
Remark on the Kato smoothing effect for Schrödinger equation with superquadratic potentials. Zbl 1147.35359
Robbiano, Luc; Zuily, Claude
5
2008
Exact control of the heat equation. Zbl 0884.35049
Lebeau, G.; Robbiano, L.
5
1995
Controllability of a parabolic system with a diffuse interface. Zbl 1275.35158
Le Rousseau, Jérôme; Léautaud, Matthieu; Robbiano, Luc
4
2013
Strong uniqueness at infinity for KdV. Zbl 1070.35506
Robbiano, Luc
4
2002
Stabilization for the wave equation with singular Kelvin-Voigt damping. Zbl 1436.93113
Ammari, Kaïs; Hassine, Fathi; Robbiano, Luc
3
2020
Carleman estimates for the Zaremba boundary condition and stabilization of waves. Zbl 1302.35230
Cornilleau, Pierre; Robbiano, Luc
3
2014
The Kato smoothing effect for Schrödinger equations with unbounded potentials in exterior domains. Zbl 1166.35012
Robbiano, Luc; Zuily, Claude
3
2009
Linear distribution processes. Zbl 0912.60057
Bel, L.; Oppenheim, G.; Robbiano, L.; Viano, M. C.
3
1998
Dimension de Hausdorff et capacité des points singuliers d’une solution d’un opérateur elliptique. (Hausdorff dimension of capacity of singular points of a solution to an elliptic operator). Zbl 0713.35025
Robbiano, Luc; Salazar, Jorge
3
1990
Analytic theory for the quadratic scattering, wave front set and application to the Schrödinger equation. Zbl 1058.35007
Robbiano, Luc; Zuily, Claude
2
2003
Analytic microlocal smoothing effect for the Schrödinger equation. Zbl 1255.35086
Robbiano, Luc; Zuily, Claude
2
1998
Stabilization of the wave equation by the boundary. Zbl 0856.35074
Lebeau, Gilles; Robbiano, Luc
2
1996
Uniqueness theorem adapted to the control of solutions of hyperbolic problems. Zbl 0779.93057
Robbiano, Luc
2
1991
Non unicité du problème de Cauchy pour des opérateurs non elliptiques à symboles complexes. (Nonuniqueness of the Cauchy problem for nonelliptic operators with complex symbols). Zbl 0599.35006
Robbiano, L.
2
1985
Unicité de Cauchy pour des opérateurs de type principal à coefficients \(C^{\infty}\). Zbl 0551.35016
Lerner, N.; Robbiano, L.
2
1984
Spectral inequality and resolvent estimate for the bi-Laplace operator. Zbl 1439.35351
Le Rousseau, Jérôme; Robbiano, Luc
1
2020
Fractional-feedback stabilization for a class of evolution systems. Zbl 1435.35260
Ammari, Kaïs; Fathi, Hassine; Robbiano, Luc
1
2020
The Kato smoothing effect for regularized Schrödinger equations in exterior domains. Zbl 1377.35044
Aloui, Lassaad; Khenissi, Moez; Robbiano, Luc
1
2017
Carleman estimates, results on control and stabilization for partial differential equations. Zbl 1373.35010
Robbiano, Luc
1
2014
Controllability of a parabolic system with a diffusive interface. Zbl 1319.35078
Le Rousseau, Jérôme; Léautaud, Matthieu; Robbiano, Luc
1
2013
Kato smoothing effect for Schrödinger operator. Zbl 1273.35233
Robbiano, Luc
1
2013
Strichartz estimates for the Schrödinger equation with variable coefficients. Zbl 1292.35253
Robbiano, Luc; Zuily, Claude
1
2004
Distribution processes with stationary fractional increments. Zbl 0932.60036
Bel, L.; Oppenheim, G.; Robbiano, L.; Viano, M. C.
1
1998
Exposant critique de Sobolev et régularité des solutions d’équations elliptiques. (Critical Sobolev exponent and regularity of solutions of elliptic equations). Zbl 0734.35016
Benmohamed, A.; Robbiano, L.
1
1991
Sur les conditions de pseudo-convexité et l’unicité du problème de Cauchy. (Pseudo-convexity conditions and uniqueness of the Cauchy problem). Zbl 0637.35017
Robbiano, Luc
1
1978
Stabilization for the wave equation with singular Kelvin-Voigt damping. Zbl 1436.93113
Ammari, Kaïs; Hassine, Fathi; Robbiano, Luc
3
2020
Spectral inequality and resolvent estimate for the bi-Laplace operator. Zbl 1439.35351
Le Rousseau, Jérôme; Robbiano, Luc
1
2020
Fractional-feedback stabilization for a class of evolution systems. Zbl 1435.35260
Ammari, Kaïs; Fathi, Hassine; Robbiano, Luc
1
2020
The Kato smoothing effect for regularized Schrödinger equations in exterior domains. Zbl 1377.35044
Aloui, Lassaad; Khenissi, Moez; Robbiano, Luc
1
2017
Counting function for interior transmission eigenvalues. Zbl 1332.35242
Robbiano, Luc
6
2016
Degenerate parabolic operators of Kolmogorov type with a geometric control condition. Zbl 1311.93042
Beauchard, Karine; Helffer, Bernard; Henry, Raphael; Robbiano, Luc
17
2015
Carleman estimates for the Zaremba boundary condition and stabilization of waves. Zbl 1302.35230
Cornilleau, Pierre; Robbiano, Luc
3
2014
Carleman estimates, results on control and stabilization for partial differential equations. Zbl 1373.35010
Robbiano, Luc
1
2014
Spectral analysis of the interior transmission eigenvalue problem. Zbl 1296.35105
Robbiano, Luc
26
2013
Controllability of a parabolic system with a diffuse interface. Zbl 1275.35158
Le Rousseau, Jérôme; Léautaud, Matthieu; Robbiano, Luc
4
2013
Controllability of a parabolic system with a diffusive interface. Zbl 1319.35078
Le Rousseau, Jérôme; Léautaud, Matthieu; Robbiano, Luc
1
2013
Kato smoothing effect for Schrödinger operator. Zbl 1273.35233
Robbiano, Luc
1
2013
Local well-posedness and blow-up in the energy space for a class of \(L^2\) critical dispersion generalized Benjamin-Ono equations. Zbl 1230.35102
Kenig, C. E.; Martel, Y.; Robbiano, L.
22
2011
Local and global Carleman estimates for parabolic operators with coefficients with jumps at interfaces. Zbl 1218.35054
Le Rousseau, Jérôme; Robbiano, Luc
16
2011
Carleman estimate for elliptic operators with coefficients with jumps at an interface in arbitrary dimension and application to the null controllability of linear parabolic equations. Zbl 1202.35336
Le Rousseau, Jérôme; Robbiano, Luc
25
2010
The Kato smoothing effect for Schrödinger equations with unbounded potentials in exterior domains. Zbl 1166.35012
Robbiano, Luc; Zuily, Claude
3
2009
Remark on the Kato smoothing effect for Schrödinger equation with superquadratic potentials. Zbl 1147.35359
Robbiano, Luc; Zuily, Claude
5
2008
Strichartz estimates for Schrödinger equations with variable coefficients. Zbl 1097.35002
Robbiano, Luc; Zuily, Claude
19
2005
Strichartz estimates for the Schrödinger equation with variable coefficients. Zbl 1292.35253
Robbiano, Luc; Zuily, Claude
1
2004
Analytic theory for the quadratic scattering, wave front set and application to the Schrödinger equation. Zbl 1058.35007
Robbiano, Luc; Zuily, Claude
2
2003
Analytic theory for the quadratic scattering wave front set and application to the Schrödinger equation. Zbl 1029.35001
Robbiano, Luc; Zuily, Claude
9
2002
Strong uniqueness at infinity for KdV. Zbl 1070.35506
Robbiano, Luc
4
2002
Microlocal analytic regularization of the Schrödinger equation: The case of oscillating data. Zbl 0959.35007
Robbiano, Luc; Zuily, Claude
16
2000
Remark on the analytic smoothing for the Schrödinger equation. Zbl 0987.35009
Morimoto, Y.; Robbiano, L.; Zuily, C.
6
2000
Microlocal analytic smoothing effect for the Schrödinger equation. Zbl 0941.35014
Robbiano, Luc; Zuily, Claude
25
1999
Uniqueness in the Cauchy problem for operators with partially holomorphic coefficients. Zbl 0909.35004
Robbiano, Luc; Zuily, Claude
31
1998
Linear distribution processes. Zbl 0912.60057
Bel, L.; Oppenheim, G.; Robbiano, L.; Viano, M. C.
3
1998
Analytic microlocal smoothing effect for the Schrödinger equation. Zbl 1255.35086
Robbiano, Luc; Zuily, Claude
2
1998
Distribution processes with stationary fractional increments. Zbl 0932.60036
Bel, L.; Oppenheim, G.; Robbiano, L.; Viano, M. C.
1
1998
Stabilization of the wave equation by the boundary. Zbl 0884.58093
Lebeau, Gilles; Robbiano, Luc
68
1997
Stabilization of the wave equation by the boundary. Zbl 0856.35074
Lebeau, Gilles; Robbiano, Luc
2
1996
Exact control of the heat equation. Zbl 0819.35071
Lebeau, G.; Robbiano, L.
255
1995
Cost function and control of solutions of hyperbolic equations. Zbl 0882.35015
Robbiano, L.
36
1995
Exact control of the heat equation. Zbl 0884.35049
Lebeau, G.; Robbiano, L.
5
1995
The unique continuation property of an elliptic system. The Lamé system. Zbl 0832.73012
Dehman, B.; Robbiano, L.
18
1993
Uniqueness theorem adapted to the control of solutions of hyperbolic equations. Zbl 0735.35086
Robbiano, Luc
37
1991
Uniqueness theorem adapted to the control of solutions of hyperbolic problems. Zbl 0779.93057
Robbiano, Luc
2
1991
Exposant critique de Sobolev et régularité des solutions d’équations elliptiques. (Critical Sobolev exponent and regularity of solutions of elliptic equations). Zbl 0734.35016
Benmohamed, A.; Robbiano, L.
1
1991
Dimension de Hausdorff et capacité des points singuliers d’une solution d’un opérateur elliptique. (Hausdorff dimension of capacity of singular points of a solution to an elliptic operator). Zbl 0713.35025
Robbiano, Luc; Salazar, Jorge
3
1990
Dimension des zéros d’une solution faible d’un opérateur elliptique. (Dimension of zeros of a weak solution of an elliptic operator). Zbl 0619.35032
Robbiano, Luc
7
1988
Sur les zéros de solutions d’inégalités différentielles elliptiques. (On zeros of solutions of elliptic differential inequalities). Zbl 0654.35036
Robbiano, Luc
6
1987
Unicité de Cauchy pour des opérateurs de type principal. (Cauchy uniqueness for operators of principal type). Zbl 0574.35003
Lerner, Nicolas; Robbiano, Luc
11
1985
Non unicité du problème de Cauchy pour des opérateurs non elliptiques à symboles complexes. (Nonuniqueness of the Cauchy problem for nonelliptic operators with complex symbols). Zbl 0599.35006
Robbiano, L.
2
1985
Unicité de Cauchy pour des opérateurs de type principal à coefficients \(C^{\infty}\). Zbl 0551.35016
Lerner, N.; Robbiano, L.
2
1984
Sur les conditions de pseudo-convexité et l’unicité du problème de Cauchy. (Pseudo-convexity conditions and uniqueness of the Cauchy problem). Zbl 0637.35017
Robbiano, Luc
1
1978
all top 5

Cited by 510 Authors

22 Zuazua, Enrique
15 Le Rousseau, Jérôme H.
13 Robbiano, Luc
12 Bellassoued, Mourad
12 Fernández-Cara, Enrique
12 Léautaud, Matthieu
11 Beauchard, Karine
10 Benabdallah, Assia
10 de Teresa, Luz
10 Ervedoza, Sylvain
10 González-Burgos, Manuel
10 Lü, Qi
9 Phung, Kim Dang
9 Yamamoto, Masahiro
8 Ammari, Kais
8 Cakoni, Fioralba
8 Lebeau, Gilles
8 Nakamura, Shu
8 Wang, Gengsheng
7 Boyer, Franck
7 Lin, Ching-Lung
7 Miller, Luc
7 Münch, Arnaud
7 Nakamura, Gen
7 Tautenhahn, Martin
7 Vodev, Georgi
7 Wang, Jenn-Nan
6 Ammar-Khodja, Farid
6 Choulli, Mourad
6 Dardé, Jérémi
6 Ozawa, Tohru
6 Rüland, Angkana
6 Vancostenoble, Judith
6 Veselić, Ivan
6 Zhang, Xu
5 Cannarsa, Piermarco
5 Fu, Xiaoyu
5 Kenig, Carlos Eduardo
5 Laurent, Camille
5 Lerner, Nicolas
5 Maniar, Lahcen
5 Martinez, André
5 Martinez, Patrick
5 Tucsnak, Marius
5 Vessella, Sergio
5 Zhang, Can
4 Ainseba, Bedr’Eddine
4 Bourgeois, Laurent
4 Burq, Nicolas
4 Chaves-Silva, Felipe Wallison
4 D’Ancona, Piero
4 Escauriaza Zubiria, Luis
4 Fanelli, Luca
4 Hassine, Fathi
4 Helffer, Bernard
4 Hoshino, Gaku
4 Koenig, Armand
4 Limaco, Juan
4 Lissy, Pierre
4 Morancey, Morgan
4 Nakoulima, Ousseynou
4 Nicaise, Serge
4 Ponce, Gustavo
4 Royer, Julien
4 Saint Raymond, Xavier
4 Sordoni, Vania
4 Täufer, Matthias
4 Trélat, Emmanuel
3 Alabau-Boussouira, Fatiha
3 Belishev, Mikhail Igorevitch
3 Cerpa, Eduardo
3 Cheng, Jin
3 Demarque, Reginaldo
3 Dermenjian, Yves
3 Felli, Veronica
3 Fragnelli, Genni
3 Francini, Elisa
3 Grebenkov, Denis S.
3 Guerrero, Sergio
3 Haddar, Houssem
3 He, Yuan
3 Henry, Raphaël
3 Imanuvilov, Oleg Yu.
3 Kian, Yavar
3 Kurylev, Yaroslav V.
3 Lenzmann, Enno
3 Liu, Xu
3 Meng, Shixu
3 Mercado, Alberto
3 Micu, Sorin
3 Mizutani, Haruya
3 Nakić, Ivica
3 Nguyen, Hoai-Minh
3 Salo, Mikko
3 Tebou, Louis T.
3 Uhlmann, Gunther Alberto
3 Vega, Luis
3 Wehbe, Ali
3 Yin, Zhongqi
2 Abbas, Zainib Hatif
...and 410 more Authors
all top 5

Cited in 123 Serials

37 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
36 Journal of Differential Equations
30 Communications in Partial Differential Equations
29 Journal de Mathématiques Pures et Appliquées. Neuvième Série
26 Journal of Mathematical Analysis and Applications
23 Journal of Functional Analysis
19 Mathematical Control and Related Fields
18 Comptes Rendus. Mathématique. Académie des Sciences, Paris
15 SIAM Journal on Control and Optimization
10 SIAM Journal on Mathematical Analysis
9 Transactions of the American Mathematical Society
9 Systems & Control Letters
8 Applicable Analysis
8 Archive for Rational Mechanics and Analysis
8 Communications in Mathematical Physics
7 Mathematische Annalen
7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
6 Journal of Optimization Theory and Applications
6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
6 Communications on Pure and Applied Analysis
6 Inverse Problems and Imaging
6 Analysis & PDE
5 Mathematical Methods in the Applied Sciences
5 Annales de l’Institut Fourier
5 Duke Mathematical Journal
5 Evolution Equations and Control Theory
4 Inverse Problems
4 ZAMP. Zeitschrift für angewandte Mathematik und Physik
4 Advances in Mathematics
4 Applied Mathematics Letters
4 MCSS. Mathematics of Control, Signals, and Systems
4 Journal of the European Mathematical Society (JEMS)
4 Acta Mathematica Sinica. English Series
3 Automatica
3 Inventiones Mathematicae
3 Journal of the Mathematical Society of Japan
3 Memoirs of the American Mathematical Society
3 Proceedings of the American Mathematical Society
3 Calculus of Variations and Partial Differential Equations
3 Discrete and Continuous Dynamical Systems
3 Journal of Dynamical and Control Systems
3 Annales Henri Poincaré
3 Journal of Evolution Equations
3 S\(\vec{\text{e}}\)MA Journal
3 Journal de l’École Polytechnique – Mathématiques
2 Communications on Pure and Applied Mathematics
2 Journal d’Analyse Mathématique
2 Journal of Mathematical Physics
2 Acta Mathematica
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 Applied Mathematics and Optimization
2 Mathematische Zeitschrift
2 Numerische Mathematik
2 Osaka Journal of Mathematics
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 Semigroup Forum
2 Stochastic Analysis and Applications
2 Acta Applicandae Mathematicae
2 Acta Mathematicae Applicatae Sinica. English Series
2 Journal of Integral Equations and Applications
2 European Journal of Applied Mathematics
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Journal of Mathematical Sciences (New York)
2 Bulletin des Sciences Mathématiques
2 The Journal of Fourier Analysis and Applications
2 European Journal of Control
2 Discrete and Continuous Dynamical Systems. Series B
2 Portugaliae Mathematica. Nova Série
2 Journal of Nonlinear Evolution Equations and Applications
2 Annals of PDE
2 Séminaire Laurent Schwartz. EDP et Applications
2 Annales Henri Lebesgue
1 Computer Methods in Applied Mechanics and Engineering
1 Mathematical Notes
1 Nonlinearity
1 Reviews in Mathematical Physics
1 Applied Mathematics and Computation
1 Journal of Approximation Theory
1 Kybernetika
1 Manuscripta Mathematica
1 Proceedings of the Japan Academy. Series A
1 Studies in Applied Mathematics
1 Zeitschrift für Analysis und ihre Anwendungen
1 Chinese Annals of Mathematics. Series B
1 Revista Matemática Iberoamericana
1 Mathematical and Computer Modelling
1 Forum Mathematicum
1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 Proceedings of the National Academy of Sciences of the United States of America
1 SIAM Journal on Applied Mathematics
1 Stochastic Processes and their Applications
1 Applied and Computational Harmonic Analysis
1 Computational and Applied Mathematics
1 Journal of Inverse and Ill-Posed Problems
1 NoDEA. Nonlinear Differential Equations and Applications
1 Advances in Computational Mathematics
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
1 Vietnam Journal of Mathematics
...and 23 more Serials
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Cited in 41 Fields

457 Partial differential equations (35-XX)
239 Systems theory; control (93-XX)
43 Operator theory (47-XX)
39 Calculus of variations and optimal control; optimization (49-XX)
31 Global analysis, analysis on manifolds (58-XX)
24 Mechanics of deformable solids (74-XX)
23 Numerical analysis (65-XX)
17 Probability theory and stochastic processes (60-XX)
17 Optics, electromagnetic theory (78-XX)
16 Quantum theory (81-XX)
13 Fluid mechanics (76-XX)
11 Ordinary differential equations (34-XX)
10 Functional analysis (46-XX)
9 Biology and other natural sciences (92-XX)
7 Harmonic analysis on Euclidean spaces (42-XX)
6 Real functions (26-XX)
6 Classical thermodynamics, heat transfer (80-XX)
5 Dynamical systems and ergodic theory (37-XX)
5 Differential geometry (53-XX)
3 Number theory (11-XX)
3 Functions of a complex variable (30-XX)
3 Potential theory (31-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Integral transforms, operational calculus (44-XX)
2 Integral equations (45-XX)
2 Statistics (62-XX)
2 Relativity and gravitational theory (83-XX)
2 Operations research, mathematical programming (90-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Group theory and generalizations (20-XX)
1 Topological groups, Lie groups (22-XX)
1 Measure and integration (28-XX)
1 Difference and functional equations (39-XX)
1 Abstract harmonic analysis (43-XX)
1 Mechanics of particles and systems (70-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Geophysics (86-XX)
1 Information and communication theory, circuits (94-XX)

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