Representations, Wavelets, and Frames

A Celebration of the Mathematical Work of Lawrence W. Baggett

ISBN: 978-0-8176-4682-0 (Print) 978-0-8176-4683-7 (Online)

Table of contents (14 chapters)

  1. Front Matter

    Pages i-xl

  2. Classical and Abstract Harmonic Analysis

    1. No Access

      Book Chapter

      Pages 3-12

      Some Riemann Sums Are Better Than Others

    2. No Access

      Book Chapter

      Pages 13-31

      Gelfand Pairs Associated with Finite Heisenberg Groups

    3. No Access

      Book Chapter

      Pages 33-45

      Groups with Atomic Regular Representation

    4. No Access

      Book Chapter

      Pages 47-67

      Wavelet Transforms and Admissible Group Representations

  3. Frames and Multiresolution Structures

    1. No Access

      Book Chapter

      Pages 71-102

      The Density Theorem and the Homogeneous Approximation Property for Gabor Frames

    2. No Access

      Book Chapter

      Pages 103-130

      Recent Developments on Dual Wavelet Frames

    3. No Access

      Book Chapter

      Pages 131-151

      Characteristic Wavelet Equations and Generalizations of the Spectral Function

    4. No Access

      Book Chapter

      Pages 153-173

      Baggett’s Problem for Frame Wavelets

  4. Wavelet Sets

    1. No Access

      Book Chapter

      Pages 177-192

      Simple Wavelet Sets for Scalar Dilations in ℝ 2

    2. No Access

      Book Chapter

      Pages 193-214

      Interpolation Maps and Congruence Domains for Wavelet Sets

  5. Applications to Dynamical Systems and C*-Algebras

    1. No Access

      Book Chapter

      Pages 217-237

      Orthogonal Exponentials for Bernoulli Iterated Function Systems

    2. No Access

      Book Chapter

      Pages 239-272

      A Survey of Projective Multiresolution Analyses and a Projective Multiresolution Analysis Corresponding to the Quincunx Lattice

  6. Signal and Image Processing

    1. No Access

      Book Chapter

      Pages 275-291

      Sampling and Time-Frequency Localization of Band-Limited and Multiband Signals

    2. No Access

      Book Chapter

      Pages 293-311

      Entropy Encoding in Wavelet Image Compression

  7. Back Matter

    Pages 313-322