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Harmonic Analysis and Applications

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Cover of 'Harmonic Analysis and Applications'

Table of Contents

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    Book Overview
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    Chapter 1 The Gibbs Phenomenon in Higher Dimensions
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    Chapter 2 Weighted Sobolev Inequalities for Gradients
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    Chapter 3 Semidiscrete Multipliers
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    Chapter 4 A Physical Interpretation of Tight Frames
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    Chapter 5 Recent Developments in the Balian-Low Theorem
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    Chapter 6 Some Problems Related to the Distributional Zak Transform
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    Chapter 7 Gabor Duality Characterizations
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    Chapter 8 A Pedestrian’s Approach to Pseudodifferential Operators
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    Chapter 9 Linear Independence of Finite Gabor Systems
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    Chapter 10 Explicit Cross-Sections of Singly Generated Group Actions
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    Chapter 11 The Theory of Wavelets with Composite Dilations
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    Chapter 12 Periodic Nonuniform Sampling in Shift-Invariant Spaces
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    Chapter 13 Sampling on Unions of Shifted Lattices in One Dimension
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    Chapter 14 Learning the Right Model from the Data
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    Chapter 15 Redundancy in the Frequency Domain
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    Chapter 16 Density Results for Frames of Exponentials
Attention for Chapter 7: Gabor Duality Characterizations
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