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Birkhäuser

Representations, Wavelets, and Frames

A Celebration of the Mathematical Work of Lawrence W. Baggett

  • Book
  • © 2008

Overview

Editors:
  1. Palle E. T. Jorgensen

    1. Department of Mathematics, The University of Iowa, Iowa City, USA

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    You can also search for this editor in PubMed   Google Scholar

  2. Kathy D. Merrill

    1. Department of Mathematics, Colorado College, Colorado Springs, USA

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    You can also search for this editor in PubMed   Google Scholar

  3. Judith A. Packer

    1. Department of Mathematics, University of Colorado at Boulder, Boulder, USA

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    You can also search for this editor in PubMed   Google Scholar

  • Contributed volume comprised of the work of prominent researchers
  • Discusses both theoretical and applied harmonic analysis including, wavelets and frames
  • Includes recent applications to problems in sampling theory and image compression

Part of the book series: Applied and Numerical Harmonic Analysis (ANHA)

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Table of contents (14 chapters)

  1. Front Matter

    Pages i-xl
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  2. Classical and Abstract Harmonic Analysis

    1. Some Riemann Sums Are Better Than Others

      • Victor W. Guillemin, Daniel W. Stroock
      Pages 3-12

    2. Gelfand Pairs Associated with Finite Heisenberg Groups

      • Chal Benson, Gail Ratcliff
      Pages 13-31

    3. Groups with Atomic Regular Representation

      • Keith F. Taylor
      Pages 33-45

    4. Wavelet Transforms and Admissible Group Representations

      • Eric Weber
      Pages 47-67

  4. Wavelet Sets

    1. Simple Wavelet Sets for Scalar Dilations in ℝ2

      • Kathy D. Merrill
      Pages 177-192

    2. Interpolation Maps and Congruence Domains for Wavelet Sets

      • Xiaofei Zhang, David R. Larson
      Pages 193-214

  5. Applications to Dynamical Systems and C*-Algebras

    1. Orthogonal Exponentials for Bernoulli Iterated Function Systems

      • Palle E. T. Jorgensen, Keri Kornelson, Karen Shuman
      Pages 217-237

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

      • Judith A. Packer
      Pages 239-272

  6. Signal and Image Processing

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

      • Jeffrey A. Hogan, Joseph D. Lakey
      Pages 275-291

    2. Entropy Encoding in Wavelet Image Compression

      • Myung-Sin Song
      Pages 293-311

  7. Back Matter

    Pages 313-322
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Keywords

About this book

Representations, Wavelets, and Frames contains chapters pertaining to this theme from experts and expositors of renown in mathematical analysis and representation theory. Topics are selected with an emphasis on fundamental and timeless techniques with a geometric and spectral-theoretic flavor. The material is self-contained and presented in a pedagogical style that is accessible to students from both pure and applied mathematics while also of interest to engineers.

Contributors: C. Benson, M. Bownik, V. Furst, V. W. Guillemin, B. Han, C. Heil, J.A. Hogan, P.E.T. Jorgensen, K. Kornelson, J.D. Lakey, D.R. Larson, K.D. Merrill, J.A. Packer, G. Ratcliff, K. Shuman, M.-S. Song, D.W. Stroock, K.F. Taylor, E. Weber, X. Zhang.

Editors and Affiliations

  • Department of Mathematics, The University of Iowa, Iowa City, USA

    Palle E. T. Jorgensen

  • Department of Mathematics, Colorado College, Colorado Springs, USA

    Kathy D. Merrill

  • Department of Mathematics, University of Colorado at Boulder, Boulder, USA

    Judith A. Packer

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