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Antoine, Jean-Pierre

Author ID: antoine.jean-pierre Recent zbMATH articles by "Antoine, Jean-Pierre"
Published as: Antoine, J.-P.; Antoine, Jean-Pierre; Antoine, J. P.; Antoine, Jean Pierre; Antoine, Jean-P.; Antoine, J-P.
Homepage: https://uclouvain.be/fr/repertoires/jean-pierre.antoine
External Links: MGP · Wikidata · ResearchGate · dblp · GND · IdRef
all top 5

Co-Authors

35 single-authored
40 Trapani, Camillo
17 Ali, Syed Twareque
15 Inoue, Atsushi
13 Gazeau, Jean-Pierre
12 Vandergheynst, Pierre
6 Karwowski, Witold
6 Murenzi, Romain
5 Bagarello, Fabio
5 Jacques, Laurent
4 Balazs, Peter
4 Tschinke, Francesco
3 Grossmann, Alexandre
3 Lambert, Dominique
3 Mahara, I.
3 Piette, Bernard M. A. G.
2 Antoine, Philippe
2 Bellomonte, Giorgia
2 Bogdanova, Iva
2 Carrette, P.
2 Exner, Pavel
2 Hohouéto, Amétépé Lionel
2 Lisiecki, Wojciech
2 Mathot, Françoise D.
2 Mladenov, Ivaĭlo M.
2 Odzijewicz, Anatol
2 Piraux, Bernard
2 Roşca, Daniela
2 Šeba, Petr
2 Shabani, Juma
2 Speiser, David
1 Barache, Damien
1 Beneduci, Roberto
1 Bialynicki-Birula, Iwo
1 Billiau, A.
1 Borchers, Hans-Jürgen
1 Brault, Patrice
1 Celeghini, Enrico
1 Cesar, Roberto Marcondes jun.
1 Collin, Frédéric
1 Coron, Alain
1 Corso, Rosario
1 Costa, Luciano da Fontoura
1 Dabrowski, Ludwik
1 Demanet, Laurent
1 Doghri, Issam
1 Goldberg, Anne
1 Goldin, Gerald A.
1 Gryboś, Anna
1 Gustafson, Karl Edwin
1 Jadczyk, Arkadiusz
1 Janner, Aloysio
1 Janssen, Ted
1 Kerber, Adalbert
1 Klauder, John Rider
1 Kociński, Jerzy
1 Kouagou, Yebeni B.
1 Lassner, Gerd
1 Lulek, Tadeusz
1 Merlini, Danilo
1 Michel, Louis
1 Monceau, Pascal
1 Moschella, Ugo
1 Mozrzymas, Jan
1 Mueller, Ute A.
1 Nikolova, Lora
1 Odijewicz, A.
1 O’Raifeartaigh, Lochlainn
1 Pȩkalski, Andrzej
1 Penson, Karol A.
1 Pfister, Charles-Edouard
1 Rieckers, Alfred
1 Rizov, Ventseslav A.
1 Ruegg, Henri
1 Schroeck, Franklin E. jun.
1 Sepulchre, Jacques-Alexandre
1 Soulet, Y.
1 Speckbacher, Michael
1 Stoeva, Diana T.
1 Strasburger, Aleksander
1 Suffczyński, Maciej
1 Szpikowski, Stanisław
1 Tarlini, Marco
1 Thirulagasanthar, K.
1 Tirapegui, Enrique
1 Tolédano, P.
1 Torrésani, Bruno S.
1 Trebin, Hans-Rainer
1 Twarock, Reidun
1 Van Vyve, E.
1 Vause, M.
1 Vitiello, Giuseppe
all top 5

Serials

17 Journal of Mathematical Physics
10 Annales de l’Institut Henri Poincaré. Physique Théorique
6 Applied and Computational Harmonic Analysis
5 Publications of the Research Institute for Mathematical Sciences, Kyoto University
5 Mediterranean Journal of Mathematics
4 Classical and Quantum Gravity
4 Journal of Physics A: Mathematical and Theoretical
3 Reviews in Mathematical Physics
3 Mathematische Nachrichten
3 Revista Ciencias Matemáticas
3 Signal Processing
3 Annals of Physics
3 Journal of Physics A: Mathematical and General
3 The Journal of Fourier Analysis and Applications
3 International Journal of Wavelets, Multiresolution and Information Processing
3 Advances in Mathematical Physics
2 Journal of Mathematical Analysis and Applications
2 Letters in Mathematical Physics
2 Reports on Mathematical Physics
2 Studia Mathematica
2 Journal of Functional Analysis
2 Advances in Operator Theory
1 Modern Physics Letters A
1 International Journal of Solids and Structures
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Physics Letters. A
1 Revue des Questions Scientifiques, 5. Série
1 Advances in Mathematics
1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique
1 International Journal of Mathematics and Mathematical Sciences
1 Mitteilungen der Mathematischen Gesellschaft der Deutschen Demokratischen Republik
1 Numerical Functional Analysis and Optimization
1 Acta Applicandae Mathematicae
1 CWI Quarterly
1 Annales de la Société Scientifique de Bruxelles. Série I
1 Bulletin de l’Academie Polonaise des Sciences. Serie des Sciences Physiques et Astronomiques
1 Mathematical Problems in Engineering
1 Journal of Computational Methods in Sciences and Engineering
1 Sampling Theory in Signal and Image Processing
1 Journal of Geometry and Symmetry in Physics
1 Lecture Notes in Mathematics
1 Mathematics and its Applications (Dordrecht)
1 Springer Proceedings in Physics
1 Axioms
1 Theoretical and Mathematical Physics (Cham)
1 Graduate Texts in Contemporary Physics
1 Constructive Mathematical Analysis

Publications by Year

Citations contained in zbMATH Open

116 Publications have been cited 1,647 times in 955 Documents Cited by Year
Coherent states, wavelets and their generalizations. Zbl 1064.81069
Ali, Syed Twareque; Antoine, Jean-Pierre; Gazeau, Jean-Pierre
164
2000
Continuous frames in Hilbert space. Zbl 0782.47019
Ali, S. Twareque; Antoine, J.-P.; Gazeau, J.-P.
139
1993
Coherent states, wavelets, and their generalizations. 2nd updated ed. Zbl 1440.81006
Ali, Syed Twareque; Antoine, Jean-Pierre; Gazeau, Jean-Pierre
95
2014
Partial \(^*\)-algebras and their operator realizations. Zbl 1023.46004
Antoine, Jean-Pierre; Inoue, Atsushi; Trapani, Camillo
71
2002
Weighted and controlled frames: mutual relationship and first numerical properties. Zbl 1192.42016
Balazs, Peter; Antoine, Jean-Pierre; Gryboś, Anna
62
2010
Temporally stable coherent states for infinite well and Pöschl-Teller potentials. Zbl 1016.81033
Antoine, J.-P.; Gazeau, J.-P.; Monceau, P.; Klauder, J. R.; Penson, K. A.
51
2001
Two-dimensional wavelets and their relatives. Zbl 1053.42028
Antoine, Jean-Pierre; Murenzi, Romain; Vandergheynst, Pierre; Ali, Syed Twareque
48
2004
Wavelets on the 2-sphere: A group-theoretical approach. Zbl 0945.42023
Antoine, J.-P.; Vandergheynst, P.
44
1999
Partial *-algebras of closed linear operators in Hilbert space. Zbl 0609.47058
Antoine, J.-P.; Karwowski, W.
43
1985
Stereographic wavelet frames on the sphere. Zbl 1082.42026
Bogdanova, I.; Vandergheynst, P.; Antoine, J.-P.; Jacques, L.; Morvidone, M.
41
2005
Coherent states and their generalizations: A mathematical overview. Zbl 0837.43014
Ali, S. Twareque; Antoine, J.-P.; Gazeau, J.-P.; Mueller, U. A.
40
1995
Dirac formalism and symmetry problems in quantum mechanics. I: General irac formalism. Zbl 0172.56602
Antoine, J. P.
40
1969
Wavelets on the \(n\)-sphere and related manifolds. Zbl 0929.42029
Antoine, J.-P.; Vandergheynst, P.
32
1998
Frames and semi-frames. Zbl 1215.81114
Antoine, Jean-Pierre; Balazs, Peter
32
2011
Partial inner product spaces. Theory and applications. Zbl 1195.46001
Antoine, Jean-Pierre; Trapani, Camillo
31
2009
Partial \({}^*\)-algebras of closable operators. I: The basic theory and the abelian case. Zbl 0724.47020
Antoine, Jean-P.; Inoue, Atsushi; Trapani, Camillo
30
1990
Wavelets on the sphere: implementation and approximations. Zbl 1021.42022
Antoine, J.-P.; Demanet, L.; Jacques, L.; Vandergheynst, P.
28
2002
Partial inner product spaces. I: General properties. Zbl 0359.46020
Antoine, J.-P.; Grossmann, A.
25
1976
Two-dimensional directional wavelets and the scale-angle representation. Zbl 0875.94074
Antoine, J.-P.; Murenzi, R.
24
1996
Image analysis with two-dimensional continuous wavelet transform. Zbl 0772.68110
Antoine, J.-P.; Carrette, P.; Murenzi, R.; Piette, B.
23
1993
Partial \(\star\)-algebras of closable operators. II: States and representations of partial \(\star\)-algebras. Zbl 0749.47030
Antoine, Jean-P.; Inoue, Atsushi; Trapani, Camillo
23
1991
Characters of irreducible representations of the simple groups. I: General theory. Zbl 0126.06104
Antoine, J. P.; Speiser, D.
22
1964
Partial inner product spaces. II: Operators. Zbl 0359.46021
Antoine, J.-P.; Grossmann, A.
19
1976
Partial inner product spaces. IV. Topological considerations. Zbl 0477.46006
Antoine, J.-P.
18
1980
Partial \(^*\)-algebras of closable operators: a review. Zbl 0857.47029
Antoine, J.-P.; Inoue, A.; Trapani, C.
18
1996
Directional wavelets revisited: Cauchy wavelets and symmetry detection in patterns. Zbl 0936.42017
Antoine, J.-P.; Murenzi, R.; Vandergheynst, P.
17
1999
Partial inner product spaces. III: Compatibility relations revisited. Zbl 0477.46005
Antoine, J.-P.
16
1980
Unbounded GNS representations of a *-algebra in a Krein space. Zbl 0694.46021
Antoine, J.-P.; Ôta, S.
16
1989
Classification of general sequences by frame-related operators. Zbl 1246.42027
Balazs, P.; Stoeva, D.; Antoine, J. P.
16
2011
Square integrability of group representations on homogeneous spaces. I: Reproducing triples and frames. Zbl 0752.22002
Ali, S. T.; Antoine, J.-P.; Gazeau, J.-P.
15
1991
Frames, semi-frames, and Hilbert scales. Zbl 1255.42024
Antoine, J.-P.; Balazs, P.
14
2012
Wavelet transform on manifolds: old and new approaches. Zbl 1203.42047
Antoine, Jean-Pierre; Roşca, Daniela; Vandergheynst, Pierre
14
2010
Characters of irreducible representations of the simple groups. II: Application to classical groups. Zbl 0134.43704
Antoine, J. P.; Speiser, D.
14
1964
Dirac formalism and symmetry problems in quantum mechanics. II: Symmetry problems. Zbl 0184.54101
Antoine, J. P.
14
1969
Reproducing pairs of measurable functions. Zbl 1387.46027
Antoine, Jean-Pierre; Speckbacher, M.; Trapani, Camillo
13
2017
Wavelets on the two-sphere and other conic sections. Zbl 1143.42036
Antoine, Jean-Pierre; Vandergheynst, Pierre
12
2007
Reproducing pairs of measurable functions and partial inner product spaces. Zbl 1368.42029
Antoine, Jean-Pierre; Trapani, Camillo
12
2017
The continuous wavelet transform on conic sections. Zbl 1142.42319
Antoine, Jean-Pierre; Bogdanova, I.; Vandergheynst, P.
11
2008
Coherent states and their applications. A contemporary panorama. Zbl 1398.81008
11
2018
Partial\(^*\)-algebras of closed linear operators in Hilbert space. Zbl 0626.47041
Antoine, J.-P.; Karwowski, W.
10
1986
Partial *-algebras of closed operators and their commutants. I: General structure. Zbl 0629.46048
Antoine, J.-P.; Mathot, F.
10
1987
Multiselective pyramidal decomposition of images: wavelets with adaptive angular selectivity. Zbl 1213.42143
Jacques, Laurent; Antoine, Jean-Pierre
10
2007
Two-dimensional wavelets and their relatives. Paperback reprint of the hardback edition 2004. Zbl 1139.42008
Antoine, Jean-Pierre; Murenzi, Romain; Vandergheynst, Pierre; Ali, Syed Twareque
10
2008
Square integrability of group representations on homogeneous spaces. II: Coherent and quasi-coherent states. The case of the Poincaré group. Zbl 0752.22003
Ali, S. T.; Antoine, J.-P.; Gazeau, J.-P.
10
1991
Orthocomplemented subspaces of nondegenerate partial inner product spaces. Zbl 0372.46025
Antoine, J.-P.; Grossmann, A.
10
1978
Relativistic quantum frames. Zbl 0782.47020
Ali, S. Twareque; Antoine, J.-P.; Gazeau, J.-P.
9
1993
Representability of invariant positive sesquilinear forms on partial *- algebras. Zbl 0726.46038
Antoine, J.-P.; Inoue, A.
9
1990
Interpolation theory and refinement of nested Hilbert spaces. Zbl 0494.46023
Antoine, J.-P.; Karwowski, W.
8
1981
Biweights on partial *-algebras. Zbl 0949.47056
Antoine, J.-P.; Inoue, A.; Trapani, C.
8
2000
A mathematical model of heavy-quarkonia mesonic decays. Zbl 0828.58042
Antoine, J.-P.; Exner, P.; Šeba, P.; Shabani, J.
8
1994
Corrigendum: Partial inner product spaces, metric operators and generalized hermiticity. Zbl 1273.47043
Antoine, Jean-Pierre; Trapani, Camillo
8
2013
Partial *-algebras of closed operators and their commutants. II: Commutants and bicommutants. Zbl 0629.46049
Antoine, J.-P.; Mathot, F.; Trapani, C.
7
1987
Standard generalized vectors in the space of Hilbert-Schmidt operators. Zbl 0831.47035
Antoine, J.-P.; Ogi, H.; Inoue, A.; Trapani, C.
7
1995
Strongly cyclic vectors for partial \(Op^*\)-algebras. Zbl 0722.47038
Antoine, J.-P.; Inoue, Atsushi
7
1990
Solutions of Euclidean \(\sigma\) models on noncompact Grassmann manifolds. Zbl 0646.53084
Antoine, J.-P.; Piette, B.
6
1988
O\(^*\)-dynamical systems and \(^*\)-derivations of unbounded operator algebras. Zbl 0946.46055
Antoine, J.-P.; Inoue, A.; Trapani, C.
6
1999
The continuous wavelet transform in image processing. Zbl 0917.65120
Antoine, J.-P.
6
1998
Weights on partial *-algebras. Zbl 0888.46034
Antoine, J.-P.; Soulet, Y.; Trapani, C.
5
1995
Normal forms on partial \(O^*\)-algebras. Zbl 0770.47025
Antoine, J.-P.; Inoue, A.
5
1991
Partial inner product spaces, metric operators and generalized hermiticity. Zbl 1267.47038
Antoine, Jean-Pierre; Trapani, C.
5
2012
Some remarks on quasi-Hermitian operators. Zbl 1290.81035
Antoine, Jean-Pierre; Trapani, Camillo
5
2014
Bounded elements in certain topological partial \({}^{*}\)-algebras. Zbl 1221.47145
Antoine, Jean-Pierre; Trapani, Camillo; Tschinke, Francesco
4
2011
Shape characterization with the wavelet transform. Zbl 0893.94015
Antoine, J.-P.; Barache, D.; Cesar, Roberto M. jun.; da Fontoura Costa, Luciano
4
1997
Fully representable and \(\ast\)-semisimple topological partial \(\ast\)-algebras. Zbl 1238.47050
Antoine, J.-P.; Bellomonte, G.; Trapani, C.
4
2012
Topological partial \(*\)-algebras: basic properties and examples. Zbl 0966.47048
Antoine, J.-P.; Bagarello, F.; Trapani, C.
4
1999
Coherent states of the \(1+1\) dimensional Poincaré group: Square integrability and a relativistic Weyl transform. Zbl 0702.22024
Ali, S. Twareque; Antoine, J.-P.
4
1989
De Sitter to Poincaré contraction and relativistic coherent states. Zbl 0706.22018
Ali, S. Twareque; Antoine, J.-P.; Gazeau, J.-P.
4
1990
On the regularity of the partial \(O^*\)-algebras generated by a closed symmetric operator. Zbl 0812.47047
Antoine, Jean-Pierre; Inoue, Atsushi; Trapani, Camillo
4
1992
Operators on partial inner product spaces: towards a spectral analysis. Zbl 1337.47002
Antoine, Jean-Pierre; Trapani, Camillo
4
2016
Metric operators, generalized hermiticity and lattices of Hilbert spaces. Zbl 1350.81007
Antoine, Jean-Pierre; Trapani, Camillo
4
2015
Classical nonlinear \(\sigma\) models on Grassmann manifolds of compact or noncompact type. Zbl 0644.58037
Antoine, J.-P.; Piette, B.
3
1987
Poincaré coherent states: The two-dimensional massless case. Zbl 0792.22009
Antoine, J.-P.; Moschella, U.
3
1993
Classical Yang-Mills fields on Minkowski space with a non-compact invariance group. Zbl 0554.53048
Antoine, J.-P.; Jacques, M.
3
1984
A note on Banach partial *-algebras. Zbl 1172.46305
Antoine, Jean-Pierre; Trapani, Camillo
3
2006
Standard generalized vectors for partial \(O^*\)-algebras. Zbl 0899.47033
Antoine, J.-P.; Inoue, A.; Ogi, H.
3
1997
Locally supported orthogonal wavelet bases on the sphere via stereographic projection. Zbl 1180.94017
Roşca, Daniela; Antoine, Jean-Pierre
3
2009
Spatial theory of \(^*\)-automorphisms of partial \(O^*\)-algebras. Zbl 0805.47038
Antoine, J.-P.; Inoue, A.; Trapani, C.
3
1994
Continuous *-homomorphisms of Banach partial *-algebras. Zbl 1178.46050
Antoine, Jean Pierre; Trapani, Camillo; Tschinke, Francesco
3
2007
Discrete frames of Poincaré coherent states in 1+3 dimensions. Zbl 1053.81046
Antoine, Jean-Pierre; Hohouéto, Amétépé Lionel
3
2003
Lower semi-frames, frames, and metric operators. Zbl 1477.42029
Antoine, J.-P.; Corso, R.; Trapani, C.
3
2021
The partial inner product space method: a quick overview. Zbl 1208.46022
Antoine, Jean-Pierre; Trapani, Camillo
3
2010
PIP-space valued reproducing pairs of measurable functions. Zbl 1432.42022
Antoine, Jean-Pierre; Trapani, Camillo
3
2019
Operator (quasi-)similarity, quasi-Hermitian operators and all that. Zbl 06981727
Antoine, Jean-Pierre; Trapani, Camillo
3
2016
Commuting normal operators in partial \(Op^*\)-algebras. Zbl 0678.47041
Antoine, J.-P.; Karwowski, W.
2
1989
Wavelets and wavelet frames on the 2-sphere. Zbl 1128.42017
Antoine, J.-P.
2
2006
Partial inner product spaces and semi-inner product spaces. Zbl 0493.46024
Antoine, J. P.; Gustafson, K.
2
1981
An algebraic approach to discrete dilations. ation to discrete wavelet transforms. Zbl 0969.42019
Antoine, J.-P.; Kouagou, Y. B.; Lambert, D.; Torrésani, B.
2
2000
Standard generalized vectors and \({}^*\)-automorphism groups of partial \(O^*\)-algebras. Zbl 0954.47055
Antoine, J.-P.; Inoue, A.; Ogi, H.
2
2000
Wavelet-like orthonormal bases for the lowest Landau level. Zbl 0867.42018
Antoine, J. P.; Bagarello, F.
2
1994
Spatiality of \(^*\)-derivations of partial \(\text{O}^*\)-algebras. Zbl 0884.47020
Antoine, J.-P.; Inoue, A.; Trapani, C.
2
1995
Partial *-algebras of Hilbert space operators. Zbl 0565.47030
Antoine, J.-P.; Karwowski, W.
2
1984
Classical Yang-Mills-Dirac system with conformal symmetry: A geometrical analysis. Zbl 1015.53503
Antoine, J.-P.; Dabrowski, L.; Mahara, I.
2
1994
Quantum frames, quantization and dequantization. Zbl 0980.81511
Ali, S. Twareque; Antoine, J.-P.
2
1994
Representations irreductibles du groupe \(SU_ 3\). Zbl 0115.25604
Antoine, J. P.
2
1963
Classical Yang-Mills fields with non-compact symmetry and an arbitrary compact gauge group. Zbl 0609.53059
Antoine, J.-P.; Jacques, M.
2
1987
Biweights and \(^{\ast}\)-homomorphisms of partial \(^{\ast}\)-algebras. Zbl 1160.47057
Antoine, Jean-Pierre; Trapani, Camillo; Tschinke, Francesco
2
2006
Spontaneous symmetry breakdown and related subjects. XXI Winter School of Theoretical Physics, February 18-March 2, 1985, Karpacz, Poland. Zbl 0641.53077
1
1985
Classical Yang-Mills fields with conformal invariance: From exact solutions to qualitative analysis. Zbl 0684.58054
Antoine, J.-P.; Lambert, D.; Sepulchre, J.-A.
1
1989
Partial inner product spaces of entire functions. Zbl 0484.46029
Antoine, J.-P.; Vause, M.
1
1981
Countably Hilbert spaces and partial inner product spaces. Zbl 0493.46025
Antoine, Jean-Pierre; Karwowski, Witold
1
1980
Lower semi-frames, frames, and metric operators. Zbl 1477.42029
Antoine, J.-P.; Corso, R.; Trapani, C.
3
2021
Weak \(A\)-frames and weak \(A\)-semi-frames. Zbl 1499.42129
Antoine, Jean Pierre; Bellomonte, Giorgia; Trapani, Camillo
1
2021
PIP-space valued reproducing pairs of measurable functions. Zbl 1432.42022
Antoine, Jean-Pierre; Trapani, Camillo
3
2019
Coherent states and their applications. A contemporary panorama. Zbl 1398.81008
11
2018
Metric operators, generalized hermiticity, and partial inner product spaces. Zbl 07079456
Antoine, Jean-Pierre; Trapani, Camillo
1
2018
Beyond frames: semi-frames and reproducing pairs. Zbl 1421.42017
Antoine, Jean-Pierre; Trapani, Camillo
1
2018
Reproducing pairs of measurable functions. Zbl 1387.46027
Antoine, Jean-Pierre; Speckbacher, M.; Trapani, Camillo
13
2017
Reproducing pairs of measurable functions and partial inner product spaces. Zbl 1368.42029
Antoine, Jean-Pierre; Trapani, Camillo
12
2017
Operators on partial inner product spaces: towards a spectral analysis. Zbl 1337.47002
Antoine, Jean-Pierre; Trapani, Camillo
4
2016
Operator (quasi-)similarity, quasi-Hermitian operators and all that. Zbl 06981727
Antoine, Jean-Pierre; Trapani, Camillo
3
2016
Obituary: Syed Twareque Ali. Zbl 1356.01025
Schroeck, Franklin E. jun.; Antoine, Jean-Pierre; Goldin, Gerald; Beneduci, Roberto
1
2016
Metric operators, generalized hermiticity and lattices of Hilbert spaces. Zbl 1350.81007
Antoine, Jean-Pierre; Trapani, Camillo
4
2015
Coherent states, wavelets, and their generalizations. 2nd updated ed. Zbl 1440.81006
Ali, Syed Twareque; Antoine, Jean-Pierre; Gazeau, Jean-Pierre
95
2014
Some remarks on quasi-Hermitian operators. Zbl 1290.81035
Antoine, Jean-Pierre; Trapani, Camillo
5
2014
Corrigendum: Partial inner product spaces, metric operators and generalized hermiticity. Zbl 1273.47043
Antoine, Jean-Pierre; Trapani, Camillo
8
2013
Frames, semi-frames, and Hilbert scales. Zbl 1255.42024
Antoine, J.-P.; Balazs, P.
14
2012
Partial inner product spaces, metric operators and generalized hermiticity. Zbl 1267.47038
Antoine, Jean-Pierre; Trapani, C.
5
2012
Fully representable and \(\ast\)-semisimple topological partial \(\ast\)-algebras. Zbl 1238.47050
Antoine, J.-P.; Bellomonte, G.; Trapani, C.
4
2012
Some classes of operators on partial inner product spaces. Zbl 1264.46015
Antoine, Jean-Pierre; Trapani, Camillo
1
2012
Frames and semi-frames. Zbl 1215.81114
Antoine, Jean-Pierre; Balazs, Peter
32
2011
Classification of general sequences by frame-related operators. Zbl 1246.42027
Balazs, P.; Stoeva, D.; Antoine, J. P.
16
2011
Bounded elements in certain topological partial \({}^{*}\)-algebras. Zbl 1221.47145
Antoine, Jean-Pierre; Trapani, Camillo; Tschinke, Francesco
4
2011
Weighted and controlled frames: mutual relationship and first numerical properties. Zbl 1192.42016
Balazs, Peter; Antoine, Jean-Pierre; Gryboś, Anna
62
2010
Wavelet transform on manifolds: old and new approaches. Zbl 1203.42047
Antoine, Jean-Pierre; Roşca, Daniela; Vandergheynst, Pierre
14
2010
The partial inner product space method: a quick overview. Zbl 1208.46022
Antoine, Jean-Pierre; Trapani, Camillo
3
2010
Spectral properties of partial \(^*\)-algebras. Zbl 1190.47089
Antoine, Jean-Pierre; Trapani, Camillo; Tschinke, Francesco
1
2010
Partial inner product spaces. Theory and applications. Zbl 1195.46001
Antoine, Jean-Pierre; Trapani, Camillo
31
2009
Locally supported orthogonal wavelet bases on the sphere via stereographic projection. Zbl 1180.94017
Roşca, Daniela; Antoine, Jean-Pierre
3
2009
The continuous wavelet transform on conic sections. Zbl 1142.42319
Antoine, Jean-Pierre; Bogdanova, I.; Vandergheynst, P.
11
2008
Two-dimensional wavelets and their relatives. Paperback reprint of the hardback edition 2004. Zbl 1139.42008
Antoine, Jean-Pierre; Murenzi, Romain; Vandergheynst, Pierre; Ali, Syed Twareque
10
2008
Symmetries of quantum systems: a partial inner product space approach. Zbl 1143.81003
Antoine, Jean-Pierre
1
2008
Wavelets on the two-sphere and other conic sections. Zbl 1143.42036
Antoine, Jean-Pierre; Vandergheynst, Pierre
12
2007
Multiselective pyramidal decomposition of images: wavelets with adaptive angular selectivity. Zbl 1213.42143
Jacques, Laurent; Antoine, Jean-Pierre
10
2007
Continuous *-homomorphisms of Banach partial *-algebras. Zbl 1178.46050
Antoine, Jean Pierre; Trapani, Camillo; Tschinke, Francesco
3
2007
A note on Banach partial *-algebras. Zbl 1172.46305
Antoine, Jean-Pierre; Trapani, Camillo
3
2006
Wavelets and wavelet frames on the 2-sphere. Zbl 1128.42017
Antoine, J.-P.
2
2006
Biweights and \(^{\ast}\)-homomorphisms of partial \(^{\ast}\)-algebras. Zbl 1160.47057
Antoine, Jean-Pierre; Trapani, Camillo; Tschinke, Francesco
2
2006
Stereographic wavelet frames on the sphere. Zbl 1082.42026
Bogdanova, I.; Vandergheynst, P.; Antoine, J.-P.; Jacques, L.; Morvidone, M.
41
2005
Two-dimensional wavelets and their relatives. Zbl 1053.42028
Antoine, Jean-Pierre; Murenzi, Romain; Vandergheynst, Pierre; Ali, Syed Twareque
48
2004
The 2-D wavelet transform in image processing: two novel applications. Zbl 1142.42318
Antoine, J.-P.; Jacques, L.
1
2004
Discrete frames of Poincaré coherent states in 1+3 dimensions. Zbl 1053.81046
Antoine, Jean-Pierre; Hohouéto, Amétépé Lionel
3
2003
Coherent state lattices and square integrability of representations. Zbl 1053.81047
Hohouéto, Amétépé Lionel; Thirulagasanthar, K.; Ali, S. Twareque; Antoine, Jean-Pierre
1
2003
Partial \(^*\)-algebras and their operator realizations. Zbl 1023.46004
Antoine, Jean-Pierre; Inoue, Atsushi; Trapani, Camillo
71
2002
Wavelets on the sphere: implementation and approximations. Zbl 1021.42022
Antoine, J.-P.; Demanet, L.; Jacques, L.; Vandergheynst, P.
28
2002
Temporally stable coherent states for infinite well and Pöschl-Teller potentials. Zbl 1016.81033
Antoine, J.-P.; Gazeau, J.-P.; Monceau, P.; Klauder, J. R.; Penson, K. A.
51
2001
Coherent states, wavelets and their generalizations. Zbl 1064.81069
Ali, Syed Twareque; Antoine, Jean-Pierre; Gazeau, Jean-Pierre
164
2000
Biweights on partial *-algebras. Zbl 0949.47056
Antoine, J.-P.; Inoue, A.; Trapani, C.
8
2000
An algebraic approach to discrete dilations. ation to discrete wavelet transforms. Zbl 0969.42019
Antoine, J.-P.; Kouagou, Y. B.; Lambert, D.; Torrésani, B.
2
2000
Standard generalized vectors and \({}^*\)-automorphism groups of partial \(O^*\)-algebras. Zbl 0954.47055
Antoine, J.-P.; Inoue, A.; Ogi, H.
2
2000
Coherent states, wavelets and beyond. Zbl 0988.81051
Antoine, J.-P.
1
2000
Wavelets on the 2-sphere: A group-theoretical approach. Zbl 0945.42023
Antoine, J.-P.; Vandergheynst, P.
44
1999
Directional wavelets revisited: Cauchy wavelets and symmetry detection in patterns. Zbl 0936.42017
Antoine, J.-P.; Murenzi, R.; Vandergheynst, P.
17
1999
O\(^*\)-dynamical systems and \(^*\)-derivations of unbounded operator algebras. Zbl 0946.46055
Antoine, J.-P.; Inoue, A.; Trapani, C.
6
1999
Topological partial \(*\)-algebras: basic properties and examples. Zbl 0966.47048
Antoine, J.-P.; Bagarello, F.; Trapani, C.
4
1999
Galilean wavelets: Coherent states of the affine Galilei group. Zbl 0947.22012
Antoine, J.-P.; Mahara, I.
1
1999
Wavelets in atomic physics. Zbl 0964.81067
Antoine, J.-P.; Antoine, Ph.; Piraux, B.
1
1999
Wavelets on the \(n\)-sphere and related manifolds. Zbl 0929.42029
Antoine, J.-P.; Vandergheynst, P.
32
1998
The continuous wavelet transform in image processing. Zbl 0917.65120
Antoine, J.-P.
6
1998
Extension of representations in quasi \(*\)-algebras. Zbl 0922.46048
Antoine, J.-P.; Bagarello, F.; Trapani, C.
1
1998
Shape characterization with the wavelet transform. Zbl 0893.94015
Antoine, J.-P.; Barache, D.; Cesar, Roberto M. jun.; da Fontoura Costa, Luciano
4
1997
Standard generalized vectors for partial \(O^*\)-algebras. Zbl 0899.47033
Antoine, J.-P.; Inoue, A.; Ogi, H.
3
1997
Two-dimensional directional wavelets and the scale-angle representation. Zbl 0875.94074
Antoine, J.-P.; Murenzi, R.
24
1996
Partial \(^*\)-algebras of closable operators: a review. Zbl 0857.47029
Antoine, J.-P.; Inoue, A.; Trapani, C.
18
1996
Classical Yang-Mills-Dirac equations: Qualitative analysis of some solutions with a noncompact symmetry group. Zbl 0858.58043
Antoine, J.-P.; Mahara, I.
1
1996
Coherent states and their generalizations: A mathematical overview. Zbl 0837.43014
Ali, S. Twareque; Antoine, J.-P.; Gazeau, J.-P.; Mueller, U. A.
40
1995
Standard generalized vectors in the space of Hilbert-Schmidt operators. Zbl 0831.47035
Antoine, J.-P.; Ogi, H.; Inoue, A.; Trapani, C.
7
1995
Weights on partial *-algebras. Zbl 0888.46034
Antoine, J.-P.; Soulet, Y.; Trapani, C.
5
1995
Spatiality of \(^*\)-derivations of partial \(\text{O}^*\)-algebras. Zbl 0884.47020
Antoine, J.-P.; Inoue, A.; Trapani, C.
2
1995
Quantization, coherent states, and complex structures. Papers from the 13th Białowieza summer workshop on Geometric methods in physics held, in Bialowieza, Poland, July 9–15, 1994. Zbl 0955.00060
1
1995
A mathematical model of heavy-quarkonia mesonic decays. Zbl 0828.58042
Antoine, J.-P.; Exner, P.; Šeba, P.; Shabani, J.
8
1994
Spatial theory of \(^*\)-automorphisms of partial \(O^*\)-algebras. Zbl 0805.47038
Antoine, J.-P.; Inoue, A.; Trapani, C.
3
1994
Wavelet-like orthonormal bases for the lowest Landau level. Zbl 0867.42018
Antoine, J. P.; Bagarello, F.
2
1994
Classical Yang-Mills-Dirac system with conformal symmetry: A geometrical analysis. Zbl 1015.53503
Antoine, J.-P.; Dabrowski, L.; Mahara, I.
2
1994
Quantum frames, quantization and dequantization. Zbl 0980.81511
Ali, S. Twareque; Antoine, J.-P.
2
1994
Continuous frames in Hilbert space. Zbl 0782.47019
Ali, S. Twareque; Antoine, J.-P.; Gazeau, J.-P.
139
1993
Image analysis with two-dimensional continuous wavelet transform. Zbl 0772.68110
Antoine, J.-P.; Carrette, P.; Murenzi, R.; Piette, B.
23
1993
Relativistic quantum frames. Zbl 0782.47020
Ali, S. Twareque; Antoine, J.-P.; Gazeau, J.-P.
9
1993
Poincaré coherent states: The two-dimensional massless case. Zbl 0792.22009
Antoine, J.-P.; Moschella, U.
3
1993
On the regularity of the partial \(O^*\)-algebras generated by a closed symmetric operator. Zbl 0812.47047
Antoine, Jean-Pierre; Inoue, Atsushi; Trapani, Camillo
4
1992
Partial \(\star\)-algebras of closable operators. II: States and representations of partial \(\star\)-algebras. Zbl 0749.47030
Antoine, Jean-P.; Inoue, Atsushi; Trapani, Camillo
23
1991
Square integrability of group representations on homogeneous spaces. I: Reproducing triples and frames. Zbl 0752.22002
Ali, S. T.; Antoine, J.-P.; Gazeau, J.-P.
15
1991
Square integrability of group representations on homogeneous spaces. II: Coherent and quasi-coherent states. The case of the Poincaré group. Zbl 0752.22003
Ali, S. T.; Antoine, J.-P.; Gazeau, J.-P.
10
1991
Normal forms on partial \(O^*\)-algebras. Zbl 0770.47025
Antoine, J.-P.; Inoue, A.
5
1991
Square integrability of group representations on homogeneous spaces and generalized coherent states. Zbl 0761.22022
Ali, S. Twareque; Antoine, J.-P.; Gazeau, J.-P.
1
1991
Partial \({}^*\)-algebras of closable operators. I: The basic theory and the abelian case. Zbl 0724.47020
Antoine, Jean-P.; Inoue, Atsushi; Trapani, Camillo
30
1990
Representability of invariant positive sesquilinear forms on partial *- algebras. Zbl 0726.46038
Antoine, J.-P.; Inoue, A.
9
1990
Strongly cyclic vectors for partial \(Op^*\)-algebras. Zbl 0722.47038
Antoine, J.-P.; Inoue, Atsushi
7
1990
De Sitter to Poincaré contraction and relativistic coherent states. Zbl 0706.22018
Ali, S. Twareque; Antoine, J.-P.; Gazeau, J.-P.
4
1990
Unbounded GNS representations of a *-algebra in a Krein space. Zbl 0694.46021
Antoine, J.-P.; Ôta, S.
16
1989
Coherent states of the \(1+1\) dimensional Poincaré group: Square integrability and a relativistic Weyl transform. Zbl 0702.22024
Ali, S. Twareque; Antoine, J.-P.
4
1989
Commuting normal operators in partial \(Op^*\)-algebras. Zbl 0678.47041
Antoine, J.-P.; Karwowski, W.
2
1989
Classical Yang-Mills fields with conformal invariance: From exact solutions to qualitative analysis. Zbl 0684.58054
Antoine, J.-P.; Lambert, D.; Sepulchre, J.-A.
1
1989
Solutions of Euclidean \(\sigma\) models on noncompact Grassmann manifolds. Zbl 0646.53084
Antoine, J.-P.; Piette, B.
6
1988
Partial *-algebras of closed operators and their commutants. I: General structure. Zbl 0629.46048
Antoine, J.-P.; Mathot, F.
10
1987
Partial *-algebras of closed operators and their commutants. II: Commutants and bicommutants. Zbl 0629.46049
Antoine, J.-P.; Mathot, F.; Trapani, C.
7
1987
Classical nonlinear \(\sigma\) models on Grassmann manifolds of compact or noncompact type. Zbl 0644.58037
Antoine, J.-P.; Piette, B.
3
1987
Classical Yang-Mills fields with non-compact symmetry and an arbitrary compact gauge group. Zbl 0609.53059
Antoine, J.-P.; Jacques, M.
2
1987
Partial\(^*\)-algebras of closed linear operators in Hilbert space. Zbl 0626.47041
Antoine, J.-P.; Karwowski, W.
10
1986
Partial *-algebras of closed linear operators in Hilbert space. Zbl 0609.47058
Antoine, J.-P.; Karwowski, W.
43
1985
Spontaneous symmetry breakdown and related subjects. XXI Winter School of Theoretical Physics, February 18-March 2, 1985, Karpacz, Poland. Zbl 0641.53077
1
1985
...and 16 more Documents
all top 5

Cited by 1,027 Authors

66 Trapani, Camillo
63 Antoine, Jean-Pierre
42 Bagarello, Fabio
35 Inoue, Atsushi
24 Balazs, Peter
18 Gadella, Manuel
18 Gazeau, Jean-Pierre
18 Thirulogasanthar, Kengatharam
16 Arefijamaal, Ali Akbar
16 Rahimi, Asghar
14 Hounkonnou, Mahouton Norbert
13 Ali, Syed Twareque
13 De Vito, Ernesto
12 Triolo, Salvatore
10 Bellomonte, Giorgia
10 Calixto, Manuel
10 Kamyabi-Gol, Rajab Ali
9 Heo, Jaeseong
9 Iglewska-Nowak, Ilona
9 Rossafi, Mohamed
9 Vandergheynst, Pierre
8 De Mari, Filippo
8 Ekhaguere, Godwin O. S.
8 Führ, Hartmut
8 Kisil, Vladimir V.
8 Mouayn, Zouhaïr
8 Osgooei, Elnaz
7 Duits, Remco
7 Fragoulopoulou, Maria
7 Hussin, Véronique
7 Labrigui, Hatim
7 Marinucci, Domenico
7 Shabani, Juma
7 Speckbacher, Michael
7 Tschinke, Francesco
6 Ahmadi, Reza H.
6 Antoniou, Ioannis E.
6 Cassinelli, Gianni
6 Corso, Rosario
6 Daoud, Mohammed
6 Guerrero, Julio
6 Hassouni, Yassine
6 Kabbaj, Samir
6 Khedmati, Yavar
6 Mathot, Françoise D.
6 Muraleetharan, B.
6 Rahimlou, Gholamreza
6 Stoeva, Diana T.
6 Touri, Abdeslam
6 Vourdas, Apostolos
6 Zhou, Xiaohui
5 Aniello, Paolo
5 Aremua, Isiaka
5 Berrada, K.
5 Bownik, Marcin
5 Celeghini, Enrico
5 del Olmo, Mariano A.
5 Esmaeelzadeh, Fatemeh
5 Gruber, Bruno J.
5 Park, Choonkil
5 Sadri, Vahid
5 Shamsabadi, Mitra
4 Abdollahpour, Mohammad Reza
4 Adamo, Maria Stella
4 Askari-Hemmat, Ataollah
4 Baloïtcha, Ezinvi
4 Bartolucci, Francesca
4 Benedetto, John Joseph
4 Bernstein, Swanhild
4 Chung, Won-Sang
4 Dahlke, Stephan
4 Dey, Sanjib
4 Epifanio, Giuseppina
4 Farashahi, Arash Ghaani
4 Feichtinger, Hans Georg
4 Gargano, Francesco
4 Geller, Daryl
4 Gröchenig, Karlheinz
4 Hofmann, Gerald
4 Jacques, Laurent
4 Jakobsen, Mads Sielemann
4 Ji, Un Cig
4 Krzyżak, Adam
4 Kürsten, Klaus-Detlef
4 Li, Pengtong
4 Mirzaee Azandaryani, Morteza
4 Patie, Pierre
4 Pérez-Romero, Emilio
4 Popov, Dušan
4 Roşca, Daniela
4 Takakura, Mayumi
4 Raisi Tousi, Reihaneh
4 Vashisht, Lalit Kumar
4 Wang, Baoqin
4 Wang, Gang
3 Abry, Patrice
3 Avossevou, Gabriel Y. H.
3 Ben Geloun, Joseph
3 Bergeron, Hervé
3 Bogdanova, Iva
...and 927 more Authors
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Cited in 222 Serials

132 Journal of Mathematical Physics
50 Applied and Computational Harmonic Analysis
34 Journal of Mathematical Analysis and Applications
34 International Journal of Wavelets, Multiresolution and Information Processing
29 The Journal of Fourier Analysis and Applications
28 Journal of Physics A: Mathematical and Theoretical
20 International Journal of Theoretical Physics
19 Mediterranean Journal of Mathematics
18 Physics Letters. A
16 Reports on Mathematical Physics
16 Annales de l’Institut Henri Poincaré. Physique Théorique
15 Publications of the Research Institute for Mathematical Sciences, Kyoto University
13 Journal of Functional Analysis
13 Annals of Physics
12 Journal of Geometry and Physics
11 Sahand Communications in Mathematical Analysis
9 Modern Physics Letters A
9 Proceedings of the American Mathematical Society
9 Complex Analysis and Operator Theory
9 Journal of Pseudo-Differential Operators and Applications
7 International Journal of Mathematics and Mathematical Sciences
7 Results in Mathematics
7 Linear Algebra and its Applications
7 Quantum Information Processing
7 Banach Journal of Mathematical Analysis
6 Linear and Multilinear Algebra
6 Journal of Computational and Applied Mathematics
6 Transactions of the American Mathematical Society
6 Advances in Computational Mathematics
6 Advances in Operator Theory
5 Communications in Mathematical Physics
5 Numerical Functional Analysis and Optimization
5 The Journal of Geometric Analysis
5 Journal of Mathematical Imaging and Vision
5 Journal of Mathematical Sciences (New York)
5 Advances in Applied Clifford Algebras
5 Mathematical Physics, Analysis and Geometry
5 Advances in Mathematical Physics
5 Axioms
4 Indian Journal of Pure & Applied Mathematics
4 Mathematical Methods in the Applied Sciences
4 Physica A
4 Theoretical and Mathematical Physics
4 Reviews in Mathematical Physics
4 Annali di Matematica Pura ed Applicata. Serie Quarta
4 Mathematische Nachrichten
4 Monatshefte für Mathematik
4 Rendiconti del Circolo Matemàtico di Palermo. Serie II
4 Journal of High Energy Physics
4 Foundations of Physics
4 GEM - International Journal on Geomathematics
4 Annals of Functional Analysis
4 Analysis and Mathematical Physics
3 Classical and Quantum Gravity
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Rocky Mountain Journal of Mathematics
3 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique
3 Integral Equations and Operator Theory
3 Journal of Algebra
3 Mathematische Zeitschrift
3 Zeitschrift für Analysis und ihre Anwendungen
3 Acta Applicandae Mathematicae
3 Bulletin of the Iranian Mathematical Society
3 Open Systems & Information Dynamics
3 Journal of Inequalities and Applications
3 Infinite Dimensional Analysis, Quantum Probability and Related Topics
3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
3 Caspian Journal of Mathematical Sciences
3 Journal of Mathematics
3 Wavelets and Linear Algebra
2 International Journal of Modern Physics A
2 International Journal of Modern Physics B
2 Computers & Mathematics with Applications
2 Journal of Fluid Mechanics
2 Journal of Statistical Physics
2 Letters in Mathematical Physics
2 Chaos, Solitons and Fractals
2 Advances in Mathematics
2 Applied Mathematics and Computation
2 Journal of the Mathematical Society of Japan
2 Quarterly of Applied Mathematics
2 Expositiones Mathematicae
2 Bulletin des Sciences Mathématiques
2 Integral Transforms and Special Functions
2 Boletín de la Sociedad Matemática Mexicana. Third Series
2 Journal of Mathematical Chemistry
2 Mathematical Problems in Engineering
2 Abstract and Applied Analysis
2 Soft Computing
2 Algebras and Representation Theory
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Proceedings of Institute of Mathematics and Mechanics. National Academy of Sciences of Azerbaijan
2 Sampling Theory in Signal and Image Processing
2 Hacettepe Journal of Mathematics and Statistics
2 International Journal of Quantum Information
2 Statistical Methodology
2 Electronic Journal of Statistics
2 SIAM Journal on Imaging Sciences
2 Mathematical Geosciences
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
...and 122 more Serials
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Cited in 59 Fields

384 Harmonic analysis on Euclidean spaces (42-XX)
321 Quantum theory (81-XX)
284 Functional analysis (46-XX)
250 Operator theory (47-XX)
73 Information and communication theory, circuits (94-XX)
71 Topological groups, Lie groups (22-XX)
71 Numerical analysis (65-XX)
67 Abstract harmonic analysis (43-XX)
50 Approximations and expansions (41-XX)
49 Partial differential equations (35-XX)
31 Computer science (68-XX)
30 Statistical mechanics, structure of matter (82-XX)
29 Nonassociative rings and algebras (17-XX)
26 Special functions (33-XX)
24 Statistics (62-XX)
22 Differential geometry (53-XX)
19 Integral transforms, operational calculus (44-XX)
18 Probability theory and stochastic processes (60-XX)
17 Functions of a complex variable (30-XX)
17 Global analysis, analysis on manifolds (58-XX)
15 Group theory and generalizations (20-XX)
14 Dynamical systems and ergodic theory (37-XX)
14 Relativity and gravitational theory (83-XX)
12 Linear and multilinear algebra; matrix theory (15-XX)
9 Algebraic geometry (14-XX)
8 Associative rings and algebras (16-XX)
8 Difference and functional equations (39-XX)
8 Biology and other natural sciences (92-XX)
7 Combinatorics (05-XX)
7 Several complex variables and analytic spaces (32-XX)
7 Mechanics of particles and systems (70-XX)
7 Fluid mechanics (76-XX)
7 Optics, electromagnetic theory (78-XX)
6 Measure and integration (28-XX)
5 Order, lattices, ordered algebraic structures (06-XX)
5 Number theory (11-XX)
5 Ordinary differential equations (34-XX)
5 Geophysics (86-XX)
4 Integral equations (45-XX)
4 Calculus of variations and optimal control; optimization (49-XX)
4 Convex and discrete geometry (52-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 History and biography (01-XX)
3 Mathematical logic and foundations (03-XX)
3 General algebraic systems (08-XX)
3 Real functions (26-XX)
3 Mechanics of deformable solids (74-XX)
3 Astronomy and astrophysics (85-XX)
3 Systems theory; control (93-XX)
2 Sequences, series, summability (40-XX)
2 Geometry (51-XX)
2 General topology (54-XX)
2 Manifolds and cell complexes (57-XX)
2 Operations research, mathematical programming (90-XX)
2 Mathematics education (97-XX)
1 Commutative algebra (13-XX)
1 Category theory; homological algebra (18-XX)
1 \(K\)-theory (19-XX)
1 Potential theory (31-XX)

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