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H 1 The unitary extension principle on LCA groups

Auteurs : Christensen, Ole (Auteur de la Conférence)
CIRM (Editeur )

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    Résumé : The unitary extension principle (UEP) by Ron & Shen yields a convenient way of constructing tight wavelet frames in L2(R). Since its publication in 1997 several generalizations and reformulations have been obtained, and it has been proved that the UEP has important applications within image processing. In the talk we will present a recent extension of the UEP to the setting of generalized shift-invariant systems on R (or more generally, on any locally compact abelian group). For example, this generalization immediately leads to a discrete version of the UEP.
    (The results are joint work with Say Song Goh).

    Codes MSC :
    42C15 - General harmonic expansions, frames
    42C40 - Wavelets and other special systems
    65T60 - Wavelets (numerical methods)

      Informations sur la Vidéo

      Langue : Anglais
      Date de publication : 22/09/2016
      Date de captation : 20/09/2016
      Collection : Research talks ; Analysis and its Applications
      Format : MP4
      Durée : 00:47:11
      Domaine : Analysis and its Applications ; Numerical Analysis & Scientific Computing
      Audience : Chercheurs ; Doctorants , Post - Doctorants
      Download : https://videos.cirm-math.fr/2016-09-20_Christensen.mp4

    Informations sur la rencontre

    Nom de la rencontre : Multivariate Approximation and Interpolation with Applications - MAIA / Approximation et interpolation à plusieurs variables et applications - MAIA
    Organisateurs de la rencontre : Bouhamadi, Abderrahman ; Cohen, Albert ; Conti, Costanza ; Rabut, Christophe
    Dates : 19/09/16 - 23/09/2016
    Année de la rencontre : 2016
    URL Congrès : http://conferences.cirm-math.fr/1444.html

    Citation Data

    DOI : 10.24350/CIRM.V.19052503
    Cite this video as: Christensen, Ole (2016). The unitary extension principle on LCA groups. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19052503
    URI : http://dx.doi.org/10.24350/CIRM.V.19052503


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