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Titlebook: Wavelet Transforms and Localization Operators; M. W. Wong Book 2002 Springer Basel AG 2002 functional analysis.harmonic analysis.mathemati

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樓主: 突然
51#
發(fā)表于 2025-3-30 10:06:11 | 只看該作者
The Affine Group,We study in this chapter the affine group ., the Hardy space ..(?) and an irreducible and unitary representation π : . → .(..(?)) of . on ..(?) for which the set .(π) of all admissible wavelets for the representation π : . → .(..(?)) is a proper subset of the unit sphere with at the origin in ..(?).
52#
發(fā)表于 2025-3-30 16:21:59 | 只看該作者
The Affine Group,We study in this chapter the affine group ., the Hardy space ..(?) and an irreducible and unitary representation π : . → .(..(?)) of . on ..(?) for which the set .(π) of all admissible wavelets for the representation π : . → .(..(?)) is a proper subset of the unit sphere with at the origin in ..(?).
53#
發(fā)表于 2025-3-30 16:59:11 | 只看該作者
54#
發(fā)表于 2025-3-31 00:20:35 | 只看該作者
Topological Groups,ons, which we give in the next chapter. Basic references include Folland [27] and Pontryagin [68]. The book [45] is a good reference for the basic group theory used in this book. As for general topology, the books [54] and [64] by Kelley and Munkres respectively are standard references.
55#
發(fā)表于 2025-3-31 01:53:12 | 只看該作者
Unitary Representations,ost basic topics are touched on in this chapter. The more advanced theory of squareintegrable representations is given in the next chapter. A good reference for this chapter is Chapter 3 of the book [27] by Folland. A more comprehensive treatise is the book [55] by Kirillov.
56#
發(fā)表于 2025-3-31 05:26:39 | 只看該作者
Unitary Representations,ost basic topics are touched on in this chapter. The more advanced theory of squareintegrable representations is given in the next chapter. A good reference for this chapter is Chapter 3 of the book [27] by Folland. A more comprehensive treatise is the book [55] by Kirillov.
57#
發(fā)表于 2025-3-31 10:02:46 | 只看該作者
58#
發(fā)表于 2025-3-31 15:03:43 | 只看該作者
Wavelet Transforms,his book. It is in fact the wavelet transform associated to the admissible wavelet yo for the irreducible and square-integrable representation π: . → . of a locally compact and Hausdorff group . on a Hilbert space. To be more precise, we introduce the following definition.
59#
發(fā)表于 2025-3-31 17:54:26 | 只看該作者
60#
發(fā)表于 2025-4-1 00:36:42 | 只看該作者
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