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

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Schatten-von Neumann Classes,way that we can use them easily later in this book. Some proofs are omitted whenever they are easily available in the literature. More comprehensive accounts on the Schatten-von Neumann classes can be found in Dunford and Schwartz [25], Gohberg, Goldberg and Krupnik [31], Reed and Simon [72], Simon

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勾引

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.

察覺

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.

entitle

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.

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A Sampling Theorem,resentation is a reproducing kernel Hilbert space, we give in this chapter a sampling theorem on a locally compact and Hausdorff group. This is an analogue of Shannon’s sampling theorem given in Section 2.4 of the book [7] by Blatter and Section 2.1 of the book [13] by Daubechies among others. The o

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A Sampling Theorem,resentation is a reproducing kernel Hilbert space, we give in this chapter a sampling theorem on a locally compact and Hausdorff group. This is an analogue of Shannon’s sampling theorem given in Section 2.4 of the book [7] by Blatter and Section 2.1 of the book [13] by Daubechies among others. The o