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Author ID: gayral.victor Recent zbMATH articles by "Gayral, Victor"
Published as: Gayral, Victor; Gayral, V.
Documents Indexed: 23 Publications since 2003, including 2 Books
Co-Authors: 20 Co-Authors with 21 Joint Publications
425 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

22 Publications have been cited 249 times in 163 Documents Cited by Year
Moyal planes are spectral triples. Zbl 1084.58008
Gayral, V.; Gracia-Bondía, J. M.; Iochum, B.; Schücker, T.; Várilly, J. C.
62
2004
Index theory for locally compact noncommutative geometries. Zbl 1314.46081
Carey, A. L.; Gayral, V.; Rennie, A.; Sukochev, F. A.
32
2014
Deformation quantization for actions of Kählerian Lie groups. Zbl 1323.22005
Bieliavsky, Pierre; Gayral, Victor
19
2015
Integration on locally compact noncommutative spaces. Zbl 1251.46036
Carey, A. L.; Gayral, V.; Rennie, A.; Sukochev, F. A.
18
2012
The spectral action for Moyal phase. Zbl 1067.58020
Gayral, Victor; Iochum, Bruno
17
2005
Dixmier traces on noncompact isospectral deformations. Zbl 1106.46054
Gayral, Victor; Iochum, Bruno; Várilly, Joseph C.
14
2006
Spectral geometry of the Moyal plane with harmonic propagation. Zbl 1295.46054
Gayral, Victor; Wulkenhaar, Raimar
13
2013
Heat-kernel approach to UV/IR mixing on isospectral deformation manifolds. Zbl 1082.58006
Gayral, Victor
11
2005
Position-dependent noncommutative products: classical construction and field theory. Zbl 1126.81311
Gayral, V.; Gracia-Bondía, J. M.; Ruiz Ruiz, F.
9
2005
Fourier analysis on the affine group, quantization and noncompact Connes geometries. Zbl 1148.43005
Gayral, Victor; Gracia-Bondía, José M.; Várilly, Joseph C.
8
2008
Dixmier traces and extrapolation description of noncommutative Lorentz spaces. Zbl 1305.46053
Gayral, Victor; Sukochev, Fedor
7
2014
Heat kernel and number theory on NC-torus. Zbl 1124.58010
Gayral, V.; Iochum, B.; Vassilevich, D. V.
7
2007
Trouble with space-like noncommutative field theory. Zbl 1247.81526
Gayral, Victor; Gracia-Bondía, José M.; Ruiz Ruiz, Fernando
7
2005
Spectral flow for nonunital spectral triples. Zbl 1365.46065
Carey, Alan L.; Gayral, Victor; Phillips, John; Rennie, Adam; Sukochev, Fedor A.
6
2015
Deformation quantization for actions of \(\mathbb{Q}^d_p\). Zbl 1326.53128
Gayral, Victor; Jondreville, David
4
2015
The action functional for Moyal planes. Zbl 1043.46051
Gayral, Victor
4
2003
The scattering problem for a noncommutative nonlinear Schrödinger equation. Zbl 1219.35278
Durhuus, Bergfinnur; Gayral, Victor
4
2010
Quantum field theory on projective modules. Zbl 1214.81282
Gayral, Victor; Jureit, Jan-Hendrik; Krajewski, Thomas; Wulkenhaar, Raimar
3
2007
Harmonic analysis on homogeneous complex bounded domains and noncommutative geometry. Zbl 1387.22014
Bieliavsky, Pierre; Gayral, Victor; De Goursac, Axel; Spinnler, Florian
1
2014
Quantization of the affine group of a local field. Zbl 1420.81017
Gayral, Victor; Jondreville, David
1
2019
On deformations of \(C^\ast\)-algebras by actions of Kählerian Lie groups. Zbl 1354.46065
Bieliavsky, Pierre; Gayral, Victor; Neshveyev, Sergey; Tuset, Lars
1
2016
Addendum to: “On deformations of \(C^\ast\)-algebras by actions of Kählerian Lie groups”. Zbl 1441.46051
Bieliavsky, Pierre; Gayral, Victor; Neshveyev, Sergey; Tuset, Lars
1
2019
Quantization of the affine group of a local field. Zbl 1420.81017
Gayral, Victor; Jondreville, David
1
2019
Addendum to: “On deformations of \(C^\ast\)-algebras by actions of Kählerian Lie groups”. Zbl 1441.46051
Bieliavsky, Pierre; Gayral, Victor; Neshveyev, Sergey; Tuset, Lars
1
2019
On deformations of \(C^\ast\)-algebras by actions of Kählerian Lie groups. Zbl 1354.46065
Bieliavsky, Pierre; Gayral, Victor; Neshveyev, Sergey; Tuset, Lars
1
2016
Deformation quantization for actions of Kählerian Lie groups. Zbl 1323.22005
Bieliavsky, Pierre; Gayral, Victor
19
2015
Spectral flow for nonunital spectral triples. Zbl 1365.46065
Carey, Alan L.; Gayral, Victor; Phillips, John; Rennie, Adam; Sukochev, Fedor A.
6
2015
Deformation quantization for actions of \(\mathbb{Q}^d_p\). Zbl 1326.53128
Gayral, Victor; Jondreville, David
4
2015
Index theory for locally compact noncommutative geometries. Zbl 1314.46081
Carey, A. L.; Gayral, V.; Rennie, A.; Sukochev, F. A.
32
2014
Dixmier traces and extrapolation description of noncommutative Lorentz spaces. Zbl 1305.46053
Gayral, Victor; Sukochev, Fedor
7
2014
Harmonic analysis on homogeneous complex bounded domains and noncommutative geometry. Zbl 1387.22014
Bieliavsky, Pierre; Gayral, Victor; De Goursac, Axel; Spinnler, Florian
1
2014
Spectral geometry of the Moyal plane with harmonic propagation. Zbl 1295.46054
Gayral, Victor; Wulkenhaar, Raimar
13
2013
Integration on locally compact noncommutative spaces. Zbl 1251.46036
Carey, A. L.; Gayral, V.; Rennie, A.; Sukochev, F. A.
18
2012
The scattering problem for a noncommutative nonlinear Schrödinger equation. Zbl 1219.35278
Durhuus, Bergfinnur; Gayral, Victor
4
2010
Fourier analysis on the affine group, quantization and noncompact Connes geometries. Zbl 1148.43005
Gayral, Victor; Gracia-Bondía, José M.; Várilly, Joseph C.
8
2008
Heat kernel and number theory on NC-torus. Zbl 1124.58010
Gayral, V.; Iochum, B.; Vassilevich, D. V.
7
2007
Quantum field theory on projective modules. Zbl 1214.81282
Gayral, Victor; Jureit, Jan-Hendrik; Krajewski, Thomas; Wulkenhaar, Raimar
3
2007
Dixmier traces on noncompact isospectral deformations. Zbl 1106.46054
Gayral, Victor; Iochum, Bruno; Várilly, Joseph C.
14
2006
The spectral action for Moyal phase. Zbl 1067.58020
Gayral, Victor; Iochum, Bruno
17
2005
Heat-kernel approach to UV/IR mixing on isospectral deformation manifolds. Zbl 1082.58006
Gayral, Victor
11
2005
Position-dependent noncommutative products: classical construction and field theory. Zbl 1126.81311
Gayral, V.; Gracia-Bondía, J. M.; Ruiz Ruiz, F.
9
2005
Trouble with space-like noncommutative field theory. Zbl 1247.81526
Gayral, Victor; Gracia-Bondía, José M.; Ruiz Ruiz, Fernando
7
2005
Moyal planes are spectral triples. Zbl 1084.58008
Gayral, V.; Gracia-Bondía, J. M.; Iochum, B.; Schücker, T.; Várilly, J. C.
62
2004
The action functional for Moyal planes. Zbl 1043.46051
Gayral, Victor
4
2003
all top 5

Cited by 176 Authors

18 Sukochev, Fedor Anatol’evich
15 Rennie, Adam
14 Gayral, Victor
10 Wulkenhaar, Raimar
9 Grosse, Harald
9 Iochum, Bruno
8 Bieliavsky, Pierre
8 Zanin, Dmitriy V.
7 Carey, Alan L.
7 Wallet, Jean-Christophe
6 Martinetti, Pierre
6 Sitarz, Andrzej
5 Solov’ev, Mikhaĭl Aleksandrovich
5 Vassilevich, Dmitri V.
4 Aschieri, Paolo
4 D’Andrea, Francesco
4 Goffeng, Magnus
4 McDonald, Edward Andrew
4 Neshveyev, Sergey V.
4 Potapov, Denis
4 Schulz-Baldes, Hermann
4 Tuset, Lars
4 Usachev, Aleksandr Sergeevich
4 Waldmann, Stefan
3 de Goursac, Axel Marcillaud
3 Eckstein, Michał
3 Lechner, Gandalf
3 Levitina, Galina Borisovna
3 Levy, Cyril
3 Lord, Steven
3 Luef, Franz
3 Marmo, Giuseppe
3 Schmitt, Philipp
3 Schötz, Matthias
3 van den Dungen, Koenraad Lambertus
3 van Suijlekom, Walter Daniël
3 Verch, Rainer
3 Vitale, Patrizia
3 Zampini, Alessandro
2 Berge, Eirik
2 Berge, Stine Marie
2 Cardona, Duván
2 Castellani, Leonardo
2 Dabrowski, Ludwik
2 Del Corral, César
2 Jondreville, David
2 Krueger, August J.
2 Landi, Giovanni
2 Latrémolière, Frédéric
2 Lizzi, Fedele
2 Masson, Thierry
2 Matassa, Marco
2 Mesland, Bram
2 Pask, David
2 Prodan, Emil
2 Ruiz Ruiz, Fernando
2 Sandoval, Maximiliano
2 Soffer, Avraham
2 Tomassini, Luca
2 Várilly, Joseph C.
2 Vignes-Tourneret, Fabien
2 Wohlgenannt, Michael
1 Aiello, Valeriano
1 Andersson, Andreas
1 Arai, Asao
1 Bahns, Dorothea
1 Banerjee, Tathagata
1 Besnard, Fabien
1 Bizi, Nadir
1 Blaschke, Daniel N.
1 Borris, Markus
1 Bourne, Chris
1 Brzeziński, Tomasz
1 Cagnache, Eric
1 Caspers, Martijn
1 Chaichian, Masud
1 Chakraborty, Biswajit
1 Ciccoli, Nicola
1 Connes, Alain
1 Dai, Wusheng
1 Dappiaggi, Claudio
1 De Nittis, Giuseppe
1 Devi, Yendrembam Chaoba
1 Dimitrijević, Marija
1 Domański, Ziemowit
1 Dubin, Daniel A.
1 Durhuus, Bergfinnur
1 Esposito, Chiara
1 Estrada, Christopher
1 Feintzeig, Benjamin H.
1 Fiore, Gaetano
1 Forger, Michael
1 Forsyth, Iain
1 Franco, Davide
1 Franco, Nicolas
1 Gao, Li
1 Gazeau, Jean-Pierre
1 Gesztesy, Fritz
1 Gieres, François
1 Gracia-Bondía, José M.
...and 76 more Authors
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Cited in 49 Serials

19 Journal of Functional Analysis
17 Journal of Geometry and Physics
15 Communications in Mathematical Physics
14 Journal of Noncommutative Geometry
9 Reviews in Mathematical Physics
7 Letters in Mathematical Physics
6 Journal of Mathematical Physics
4 Mathematical Physics, Analysis and Geometry
4 Journal of High Energy Physics
4 Annales Henri Poincaré
3 International Journal of Modern Physics A
3 Nuclear Physics. B
3 Theoretical and Mathematical Physics
3 Advances in Mathematics
3 International Journal of Mathematics
3 The European Physical Journal C. Particles and Fields
2 Journal of Mathematical Analysis and Applications
2 Memoirs of the American Mathematical Society
2 International Journal of Geometric Methods in Modern Physics
2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 Proceedings of the Steklov Institute of Mathematics
1 Modern Physics Letters A
1 International Journal of Theoretical Physics
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Reports on Mathematical Physics
1 Fortschritte der Physik
1 Integral Equations and Operator Theory
1 Mathematische Annalen
1 Mathematische Zeitschrift
1 Monatshefte für Mathematik
1 Proceedings of the American Mathematical Society
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Transactions of the American Mathematical Society
1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII
1 Forum Mathematicum
1 Calculus of Variations and Partial Differential Equations
1 Russian Journal of Mathematical Physics
1 Applied and Computational Harmonic Analysis
1 Journal of Mathematical Sciences (New York)
1 Vietnam Journal of Mathematics
1 Abstract and Applied Analysis
1 Infinite Dimensional Analysis, Quantum Probability and Related Topics
1 Journal of the Australian Mathematical Society
1 Physical Review D. Series III
1 Journal of Pseudo-Differential Operators and Applications
1 Kyoto Journal of Mathematics
1 Journal of Spectral Theory
1 Journal of Mathematics
1 Journal of Fractal Geometry

Citations by Year