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The Affine Group

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

Abstract

We study in this chapter the affine group U, the Hardy space H + 2 (ℝ) and an irreducible and unitary representation π : UU(H + 2 (ℝ)) of U on H + 2 (ℝ) for which the set AW(π) of all admissible wavelets for the representation π : UU(H + 2 (ℝ)) is a proper subset of the unit sphere with at the origin in H + 2 (ℝ).

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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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