Abstract
The linear operator A ϕ : X → G 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: G → U(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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© 2002 Springer Basel AG
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Wong, M.W. (2002). Wavelet Transforms. 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_7
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DOI: https://doi.org/10.1007/978-3-0348-8217-0_7
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9478-4
Online ISBN: 978-3-0348-8217-0
eBook Packages: Springer Book Archive