反话 发表于 2025-3-30 10:06:11

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).

cuticle 发表于 2025-3-30 16:21:59

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).

Thyroxine 发表于 2025-3-30 16:59:11

http://reply.papertrans.cn/103/10213/1021263/1021263_53.png

ILEUM 发表于 2025-3-31 00:20:35

Topological Groups,ons, which we give in the next chapter. Basic references include Folland and Pontryagin . The book is a good reference for the basic group theory used in this book. As for general topology, the books and by Kelley and Munkres respectively are standard references.

infantile 发表于 2025-3-31 01:53:12

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 by Folland. A more comprehensive treatise is the book by Kirillov.

Anticoagulant 发表于 2025-3-31 05:26:39

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 by Folland. A more comprehensive treatise is the book by Kirillov.

Thyroxine 发表于 2025-3-31 10:02:46

http://reply.papertrans.cn/103/10213/1021263/1021263_57.png

认为 发表于 2025-3-31 15:03:43

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 发表于 2025-3-31 17:54:26

http://reply.papertrans.cn/103/10213/1021263/1021263_59.png

saturated-fat 发表于 2025-4-1 00:36:42

http://reply.papertrans.cn/103/10213/1021263/1021263_60.png
页: 1 2 3 4 5 [6] 7 8
查看完整版本: Titlebook: Wavelet Transforms and Localization Operators; M. W. Wong Book 2002 Springer Basel AG 2002 functional analysis.harmonic analysis.mathemati