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An Introduction to Frames and Riesz Bases

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Cover of 'An Introduction to Frames and Riesz Bases'

Table of Contents

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    Book Overview
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    Chapter 1 Frames in Finite-dimensional Inner Product Spaces
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    Chapter 2 Infinite-dimensional Vector Spaces and Sequences
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    Chapter 3 Bases
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    Chapter 4 Bases and their Limitations
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    Chapter 5 Frames in Hilbert Spaces
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    Chapter 6 Frames versus Riesz Bases
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    Chapter 7 Frames of Translates
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    Chapter 8 Gabor Frames in L 2 (ℝ)
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    Chapter 9 Selected Topics on Gabor Frames
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    Chapter 10 Gabor Frames in ℓ 2 (ℤ)
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    Chapter 11 General Wavelet Frames
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    Chapter 12 Dyadic Wavelet Frames
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    Chapter 13 Frame Multiresolution Analysis
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    Chapter 14 Wavelet Frames via Extension Principles
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    Chapter 15 Perturbation of Frames
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    Chapter 16 Approximation of the Inverse Frame Operator
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    Chapter 17 Expansions in Banach Spaces
Attention for Chapter 3: Bases
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