Sp Norm Inequalities, 1 ≤ p ≤ ∞

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


We prove in this chapter that a localization operator L F,φ : XX associated to a function F in L p (G), 1 ≤ p ≤ ∞, and an admissible wavelet φ for an irreducible and square-integrable representation of a locally compact and Hausdorff group G on a Hilbert space X is in the Schatten-von Neumann class S p , 1 ≤ p ≤ ∞. When p = 1, the irreducibility of the representation π: GU(X) can be dispensed with.


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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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