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Localization Operators

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

Abstract

Let φ be an admissible wavelet for an irreducible and square-integrable representation π: GU(X) of a locally compact and Hausdorff group G on a Hilbert space X. In this chapter we introduce a class of bounded linear operators L F,φ : XX, which are related to the wavelet transform A φ : XL 2 (G) defined by (7.1), for all F in L P (G),1 ≤ p ≤ ∞. We first tackle this problem for F in L1(G) or L (G). In the case when p = 1, we do not need the assumption that the representation π : GU(X) be irreducible.

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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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