Titlebook: An Introduction to Frames and Riesz Bases; Ole Christensen Textbook 20031st edition Springer Science+Business Media New York 2003 Hilbert

neutrophils

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.

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完成才會征服

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:

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Intend

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

Invigorate

Dyadic Wavelet Frames,In this chapter we consider ., i.e., frames for ..(?) 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 ..

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