NORM
发表于 2025-3-28 15:54:42
http://reply.papertrans.cn/103/10213/1021263/1021263_41.png
ironic
发表于 2025-3-28 21:59:14
Square-Integrable Representations,We are now well-equipped to study the main contents in this book. We begin with a study of square-integrable representations of locally compact and Hausdorff groups on Hilbert spaces. This chapter can be considered as a continuation of the study of unitary representations begun in Chapter 5.
TIGER
发表于 2025-3-29 02:09:45
Wavelet Constants,We begin with the following theorem, which is an extension of the resolution of the identity formula given in Theorem 6.1. This extension allows us to obtain some interesting results on the wavelet constants for unimodular groups.
Binge-Drinking
发表于 2025-3-29 06:37:09
http://reply.papertrans.cn/103/10213/1021263/1021263_44.png
pacific
发表于 2025-3-29 10:56:11
Compact Groups,We look at left regular representations ... of compact and Haus-dorff groups . in this chapter. Let ϕ ∈ ..(.). Then, using Minkowski’s inequality in integral form, the unimodularity of the group . and Schwarz’ inequality, we get.Thus, every function go in ... with . is an admissible wavelet for the left regular representation ... of .
松软无力
发表于 2025-3-29 12:06:58
Compact Groups,We look at left regular representations ... of compact and Haus-dorff groups . in this chapter. Let ϕ ∈ ..(.). Then, using Minkowski’s inequality in integral form, the unimodularity of the group . and Schwarz’ inequality, we get.Thus, every function go in ... with . is an admissible wavelet for the left regular representation ... of .
Condense
发表于 2025-3-29 16:37:38
Trace Class Norm Inequalities,As a sequel to Chapter 13, we prove in this chapter that the constant . in Proposition 13.1 can be improved to . and obtain a lower bound for the norm ‖..‖ .. of the localization operator .. : . → . in .. in terms of the function .. on . defined by.. ∈ ..
善于
发表于 2025-3-29 19:55:31
Trace Class Norm Inequalities,As a sequel to Chapter 13, we prove in this chapter that the constant . in Proposition 13.1 can be improved to . and obtain a lower bound for the norm ‖..‖ .. of the localization operator .. : . → . in .. in terms of the function .. on . defined by.. ∈ ..
广告
发表于 2025-3-30 03:10:04
http://reply.papertrans.cn/103/10213/1021263/1021263_49.png
Choreography
发表于 2025-3-30 05:11:45
The Weyl-Heisenberg Group,We show in this chapter that localization operators on the Weyl-Heisenberg group are the same as the linear operators studied by Daubechies in the paper on signal analysis. We begin with a detailed study of the Weyl-Heisenberg group.