Harmonic Analysis and Applications

In Honor of John J. Benedetto

Editors:

ISBN: 978-0-8176-3778-1 (Print) 978-0-8176-4504-5 (Online)

Table of contents (16 chapters)

  1. Harmonic Analysis

    1. Front Matter

      Pages 1-1

    2. No Access

      Book Chapter

      Pages 3-16

      The Gibbs Phenomenon in Higher Dimensions

    3. No Access

      Book Chapter

      Pages 17-23

      Weighted Sobolev Inequalities for Gradients

    4. No Access

      Book Chapter

      Pages 25-48

      Semidiscrete Multipliers

  2. Frame Theory

    1. Front Matter

      Pages 49-49

    2. No Access

      Book Chapter

      Pages 51-76

      A Physical Interpretation of Tight Frames

  3. Time-Frequency Analysis

    1. Front Matter

      Pages 77-77

    2. No Access

      Book Chapter

      Pages 79-100

      Recent Developments in the Balian-Low Theorem

    3. No Access

      Book Chapter

      Pages 101-126

      Some Problems Related to the Distributional Zak Transform

    4. No Access

      Book Chapter

      Pages 127-137

      Gabor Duality Characterizations

    5. No Access

      Book Chapter

      Pages 139-169

      A Pedestrian’s Approach to Pseudodifferential Operators

    6. No Access

      Book Chapter

      Pages 171-206

      Linear Independence of Finite Gabor Systems

  4. Wavelet Theory

    1. Front Matter

      Pages 207-207

    2. No Access

      Book Chapter

      Pages 209-230

      Explicit Cross-Sections of Singly Generated Group Actions

    3. No Access

      Book Chapter

      Pages 231-250

      The Theory of Wavelets with Composite Dilations

  5. Sampling Theory and Shift-Invariant Spaces

    1. Front Matter

      Pages 251-251

    2. No Access

      Book Chapter

      Pages 253-287

      Periodic Nonuniform Sampling in Shift-Invariant Spaces

    3. No Access

      Book Chapter

      Pages 289-323

      Sampling on Unions of Shifted Lattices in One Dimension

    4. No Access

      Book Chapter

      Pages 325-333

      Learning the Right Model from the Data

    5. No Access

      Book Chapter

      Pages 335-357

      Redundancy in the Frequency Domain

    6. No Access

      Book Chapter

      Pages 359-369

      Density Results for Frames of Exponentials