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

反话

The Affine Group,We study in this chapter the affine group ., the Hardy space ..(ℝ) and an irreducible and unitary representation π : . → .(..(ℝ)) of . on ..(ℝ) for which the set .(π) of all admissible wavelets for the representation π : . → .(..(ℝ)) is a proper subset of the unit sphere with at the origin in ..(ℝ).

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The Affine Group,We study in this chapter the affine group ., the Hardy space ..(ℝ) and an irreducible and unitary representation π : . → .(..(ℝ)) of . on ..(ℝ) for which the set .(π) of all admissible wavelets for the representation π : . → .(..(ℝ)) is a proper subset of the unit sphere with at the origin in ..(ℝ).

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ILEUM

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.

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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.

Anticoagulant

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.

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认为

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.

刺激

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