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A Unification

  • M. W. Wong
Part of the Operator Theory: Advances and Applications book series (OT, volume 136)

Abstract

Localization operators in the setting of homogeneous spaces are first defined in this chapter. They are then shown to be in the trace class S1 and a trace formula for them is given. Localization operators on locally compact and Hausdorff groups equipped with square-integrable representations, Daubechies operators and wavelet multipliers are then shown to be localization operators on homogeneous spaces. In this perspective, this chapter can be seen as a unification of the three classes of linear operators.

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Copyright information

© Springer Basel AG 2002

Authors and Affiliations

  • M. W. Wong
    • 1
  1. 1.Department of Mathematics and StatisticsYork UniversityTorontoCanada

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