Edit Profile (opens in new tab) Antoine, Jean-Pierre Co-Author Distance Author ID: antoine.jean-pierre Published as: Antoine, J.-P.; Antoine, Jean-Pierre; Antoine, J. P.; Antoine, Jean Pierre; Antoine, Jean-P.; Antoine, J-P. more...less Homepage: https://uclouvain.be/fr/repertoires/jean-pierre.antoine External Links: MGP · Wikidata · ResearchGate · dblp · GND · IdRef Documents Indexed: 156 Publications since 1963, including 6 Books 5 Contributions as Editor · 1 Further Contribution Co-Authors: 66 Co-Authors with 122 Joint Publications 1,261 Co-Co-Authors 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 all top 5 Fields 63 Operator theory (47-XX) 57 Functional analysis (46-XX) 54 Quantum theory (81-XX) 53 Harmonic analysis on Euclidean spaces (42-XX) 23 Topological groups, Lie groups (22-XX) 16 Numerical analysis (65-XX) 16 Information and communication theory, circuits (94-XX) 14 Computer science (68-XX) 10 Differential geometry (53-XX) 8 Abstract harmonic analysis (43-XX) 6 General and overarching topics; collections (00-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 History and biography (01-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 General algebraic systems (08-XX) 2 Nonassociative rings and algebras (17-XX) 2 Partial differential equations (35-XX) 2 Approximations and expansions (41-XX) 2 Convex and discrete geometry (52-XX) 2 Statistics (62-XX) 1 Algebraic geometry (14-XX) 1 Ordinary differential equations (34-XX) 1 Sequences, series, summability (40-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of deformable solids (74-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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 all top 5 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. 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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. 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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. 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