neutrophils 发表于 2025-3-25 05:25:00

Infinite-dimensional Vector Spaces and Sequences,After the introduction to frames in finite-dimensional vector spaces in Chapter 1, the rest of the book will deal with expansions in infinite-dimensional vector spaces.

过剩 发表于 2025-3-25 09:14:14

http://reply.papertrans.cn/16/1553/155259/155259_22.png

完成才会征服 发表于 2025-3-25 13:11:39

Frames in Hilbert Spaces,The main feature of a basis {..}. in a Hilbert space . is that every . ∈ . can be represented as an (infinite) linear combination of the elements .. in the basis:

外来 发表于 2025-3-25 19:24:34

http://reply.papertrans.cn/16/1553/155259/155259_24.png

ARK 发表于 2025-3-25 20:01:05

http://reply.papertrans.cn/16/1553/155259/155259_25.png

Intend 发表于 2025-3-26 03:27:07

General Wavelet Frames,The fundamental question in wavelet analysis is what conditions we have to impose on a function . such that a given signal . ∈ ..(ℝ) can be expanded via translated and scaled versions of ., i.e., via functions

Invigorate 发表于 2025-3-26 06:36:06

Dyadic Wavelet Frames,In this chapter we consider ., i.e., frames for ..(ℝ) of the type {2..(2.. − .)}.. Bases of this type were considered already in Section 3.8, where we also introduced the short notation {..}. and {.....}.. A frame of this type is said to be . by ..

证实 发表于 2025-3-26 10:16:29

http://reply.papertrans.cn/16/1553/155259/155259_28.png

图表证明 发表于 2025-3-26 16:07:18

http://reply.papertrans.cn/16/1553/155259/155259_29.png

西瓜 发表于 2025-3-26 20:11:11

http://reply.papertrans.cn/16/1553/155259/155259_30.png
页: 1 2 [3] 4 5
查看完整版本: Titlebook: An Introduction to Frames and Riesz Bases; Ole Christensen Textbook 20031st edition Springer Science+Business Media New York 2003 Hilbert