• DocumentCode
    719240
  • Title

    Sampling, amenability and the Kunze-Stein phenomenon

  • Author

    Christensen, Jens Gerlach ; Olafsson, Gestur ; Casey, Stephen D.

  • fYear
    2015
  • fDate
    25-29 May 2015
  • Firstpage
    68
  • Lastpage
    72
  • Abstract
    Inspired by recent work on the connection between representation theory and atomic decompositions, we take a look at convolution operators on non-unimodular amenable groups as well as non-compact semi-simple Lie groups. We then discuss this in context of sampling. Furthermore, we look at sampling and optimal sampling sets for some often studied spaces.
  • Keywords
    signal reconstruction; signal representation; signal sampling; Kunze-Stein phenomenon; atomic decompositions; convolution operators; nonunimodular amenable groups; representation theory; Convolution; Geometry; Harmonic analysis; Lattices; Manifolds; System-on-chip;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Sampling Theory and Applications (SampTA), 2015 International Conference on
  • Conference_Location
    Washington, DC
  • Type

    conf

  • DOI
    10.1109/SAMPTA.2015.7148852
  • Filename
    7148852
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=719240