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Foundations of Time-Frequency Analysis

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Cover of 'Foundations of Time-Frequency Analysis'

Table of Contents

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    Book Overview
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    Chapter 1 Itinerary
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    Chapter 2 Basic Fourier Analysis
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    Chapter 3 Time-Frequency Analysis and the Uncertainty Principle
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    Chapter 4 The Short-Time Fourier Transform
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    Chapter 5 Quadratic Time-Frequency Representations
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    Chapter 6 Discrete Time-Frequency Representations: Gabor Frames
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    Chapter 7 Existence of Gabor Frames
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    Chapter 8 The Structure of Gabor Systems
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    Chapter 9 Zak Transform Methods
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    Chapter 10 The Heisenberg Group: A Different Point of View
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    Chapter 11 Wavelet Transforms
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    Chapter 12 Modulati on Spaces
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    Chapter 13 Gabor Analysis of Modulation Spaces
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    Chapter 14 Window Design and Wiener’s Lemma
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    Chapter 15 Pseudodifferential Operators
Attention for Chapter 7: Existence of Gabor Frames
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