Article

Access to the text (HTML) Access to the text (HTML)
PDF Access to the PDF text
Advertising


Access to the full text of this article requires a subscription.
  • If you are a subscriber, please sign in 'My Account' at the top right of the screen.

  • If you want to subscribe to this journal, see our rates

  • You can purchase this item in Pay Per ViewPay per View - FAQ : 30,00 € Taxes included to order
    Pages Iconography Videos Other
    7 0 0 0


Comptes Rendus Mathématique
Volume 355, n° 2
pages 193-199 (février 2017)
Doi : 10.1016/j.crma.2016.11.017
Received : 1 October 2016 ;  accepted : 30 November 2016
Lattice sub-tilings and frames in LCA groups
Sous-pavages en réseau et trames dans les groupes abéliens, localement compacts
 

Davide Barbieri a , Eugenio Hernández a , Azita Mayeli b
a Universidad Autónoma de Madrid, 28049 Madrid, Spain 
b City University of New York, Queensborough and the Graduate Center, New York, USA 

Abstract

Given a lattice Λ in a locally compact Abelian group G and a measurable subset Ω with finite and positive measure, then the set of characters associated with the dual lattice form a frame for   if and only if the distinct translates by Λ of Ω have almost empty intersections. Some consequences of this results are the well-known Fuglede theorem for lattices, as well as a simple characterization for frames of modulates.

The full text of this article is available in PDF format.
Résumé

Soit Λ un réseau. On prouve que les caractères de G associés au réseau dual forment une trame de   si et seulement si les différents translatés de Ω par Λ sont d'intersection presque vide. Ceci entraîne le théorème bien connu de Fuglede pour les réseaux, ainsi qu'une caractérisation simple des trames de modulation.

The full text of this article is available in PDF format.


© 2016  Académie des sciences@@#104156@@
EM-CONSULTE.COM is registrered at the CNIL, déclaration n° 1286925.
As per the Law relating to information storage and personal integrity, you have the right to oppose (art 26 of that law), access (art 34 of that law) and rectify (art 36 of that law) your personal data. You may thus request that your data, should it be inaccurate, incomplete, unclear, outdated, not be used or stored, be corrected, clarified, updated or deleted.
Personal information regarding our website's visitors, including their identity, is confidential.
The owners of this website hereby guarantee to respect the legal confidentiality conditions, applicable in France, and not to disclose this data to third parties.
Close
Article Outline