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Wavelet Transforms

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

Abstract

The linear operator A ϕ : XG 2(G) used in the proof of the resolution of the identity formula (6.3) in the previous chapter plays a pivotal role in this book. It is in fact the wavelet transform associated to the admissible wavelet yo for the irreducible and square-integrable representation π: GU(X) of a locally compact and Hausdorff group G on a Hilbert space. To be more precise, we introduce the following definition.

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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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