Comptes Rendus
no. 3
Analyse harmonique
Heisenberg uniqueness pairs on the Euclidean spaces and the motion group
[Paires d’unicité de Heisenberg sur les espaces euclidiens et le groupe des mouvements]
Arup Chattopadhyay1 ; S. Ghosh1 ; D.K. Giri1 ; R.K. Srivastava1
1 Department of Mathematics, Indian Institute of Technology, Guwahati 781039, India
Comptes Rendus. Mathématique, Volume 358 (2020) no. 3, pp. 365-377.

Dans cet article, nous considérons des paires d’unicité de Heisenberg correspondant aux courbes et surfaces exponentielles, au paraboloïde, à la sphère. De plus, nous cherchons des résultats analogues reliés à la paire d’unicité de Heisenberg sur le groupe des mouvements euclidiens et le groupe produit apparenté.

In this article, we consider Heisenberg uniqueness pairs corresponding to the exponential curve and surfaces, paraboloid, and sphere. Further, we look for analogous results related to the Heisenberg uniqueness pair on the Euclidean motion group and related product group.

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Révisé le :
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DOI : 10.5802/crmath.48
Classification : 42A38, 33C10, 33C55
Arup Chattopadhyay 1 ; S. Ghosh 1 ; D.K. Giri 1 ; R.K. Srivastava 1

1 Department of Mathematics, Indian Institute of Technology, Guwahati 781039, India
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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     title = {Heisenberg uniqueness pairs on the {Euclidean} spaces and the motion group},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {365--377},
     publisher = {Acad\'emie des sciences, Paris},
     volume = {358},
     number = {3},
     year = {2020},
     doi = {10.5802/crmath.48},
     language = {en},
}
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Arup Chattopadhyay; S. Ghosh; D.K. Giri; R.K. Srivastava. Heisenberg uniqueness pairs on the Euclidean spaces and the motion group. Comptes Rendus. Mathématique, Volume 358 (2020) no. 3, pp. 365-377. doi : 10.5802/crmath.48. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.48/

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