Abstract
We study in this chapter the affine group U, the Hardy space H 2+ (ℝ) and an irreducible and unitary representation π : U → U(H 2+ (ℝ)) of U on H 2+ (ℝ) for which the set AW(π) of all admissible wavelets for the representation π : U → U(H 2+ (ℝ)) is a proper subset of the unit sphere with at the origin in H 2+ (ℝ).
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© 2002 Springer Basel AG
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Wong, M.W. (2002). The Affine Group. In: Wavelet Transforms and Localization Operators. Operator Theory: Advances and Applications, vol 136. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8217-0_18
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DOI: https://doi.org/10.1007/978-3-0348-8217-0_18
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9478-4
Online ISBN: 978-3-0348-8217-0
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