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Representations, Wavelets and Frames : A Celebration of the Mathematical Work of Lawrence Baggett Book

Representations, Wavelets and Frames : A Celebration of the Mathematical Work of Lawrence Baggett
Representations, Wavelets and Frames : A Celebration of the Mathematical Work of Lawrence Baggett, Motivated by applications, an underlying theme in analysis is that of finding bases and understanding the transforms that implement them. These may be based on Fourier techniques or involve wavelet tools; they may be orthogonal or have redundancies (e.g.,, Representations, Wavelets and Frames : A Celebration of the Mathematical Work of Lawrence Baggett has a rating of 4 stars
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Representations, Wavelets and Frames : A Celebration of the Mathematical Work of Lawrence Baggett, Motivated by applications, an underlying theme in analysis is that of finding bases and understanding the transforms that implement them. These may be based on Fourier techniques or involve wavelet tools; they may be orthogonal or have redundancies (e.g.,, Representations, Wavelets and Frames : A Celebration of the Mathematical Work of Lawrence Baggett
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  • Representations, Wavelets and Frames : A Celebration of the Mathematical Work of Lawrence Baggett
  • Written by author Palle E. T. Jorgensen
  • Published by Birkhauser Verlag, September 2008
  • Motivated by applications, an underlying theme in analysis is that of finding bases and understanding the transforms that implement them. These may be based on Fourier techniques or involve wavelet tools; they may be orthogonal or have redundancies (e.g.,
  • Motivated by applications, an underlying theme in analysis is that of finding bases and understanding the transforms that implement them. These may be based on Fourier techniques or involve wavelet tools; they may be orthogonal or have redundancies (e.g.,
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Authors

ANHA Series Preface ix

Foreword xiii

Preface xv

Acknowledgments xxv

Mathematical Family Tree of Lawrence W. Baggett xxvii

Publications of Lawrence W. Baggett xxix

Co-workers of Lawrence W. Baggett xxxiii

Titles of All Talks xxxv

I Classical and Abstract Harmonic Analysis

1 Some Riemann Sums Are Better Than Others Victor W. Guillemin Daniel W. Stroock 3

2 Gelfand Pairs Associated with Finite Heisenberg Groups Chal Benson Gail Ratcliff 13

3 Groups with Atomic Regular Representation Keith F. Taylor 33

4 Wavelet Transforms and Admissible Group Representations Eric Weber 47

II Frames and Multiresolution Structures

5 The Density Theorem and the Homogeneous Approximation Property for Gabor Frames Christopher Heil 71

6 Recent Developments on Dual Wavelet Frames Bin Han 103

7 Characteristic Wavelet Equations and Generalizations of the Spectral Function Veronika Furst 131

8 Baggett's Problem for Frame Wavelets Marcin Bownik 153

III Wavelet Sets

9 Simple Wavelet Sets for Scalar Dilations in R[superscript 2] Kathy D. Merrill 177

10 Interpolation Maps and Congruence Domains for Wavelet Sets Xiaofei Zhang David R. Larson 193

IV Applications to Dynamical Systems and C*-Algebras

11 Orthogonal Exponentials for Bernoulli Iterated Function Systems Palle E. T. Jorgensen Keri Kornelson Karen Shuman 217

12 A Survey of Projective Multiresolution Analyses and a Projective Multiresolution Analysis Corresponding to the Quincunx Lattice Judith A. Packer 239

V Signal and Image Processing

13 Sampling and Time-Frequency Localization of Band-Limited and Multiband Signals Jeffrey A. Hogan Joseph D. Lakey 275

14 Entropy Encoding in Wavelet Image Compression Myung-SinSong 293

Symbols 313

Index 315


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Representations, Wavelets and Frames : A Celebration of the Mathematical Work of Lawrence Baggett, Motivated by applications, an underlying theme in analysis is that of finding bases and understanding the transforms that implement them. These may be based on Fourier techniques or involve wavelet tools; they may be orthogonal or have redundancies (e.g.,, Representations, Wavelets and Frames : A Celebration of the Mathematical Work of Lawrence Baggett

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Representations, Wavelets and Frames : A Celebration of the Mathematical Work of Lawrence Baggett, Motivated by applications, an underlying theme in analysis is that of finding bases and understanding the transforms that implement them. These may be based on Fourier techniques or involve wavelet tools; they may be orthogonal or have redundancies (e.g.,, Representations, Wavelets and Frames : A Celebration of the Mathematical Work of Lawrence Baggett

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Representations, Wavelets and Frames : A Celebration of the Mathematical Work of Lawrence Baggett, Motivated by applications, an underlying theme in analysis is that of finding bases and understanding the transforms that implement them. These may be based on Fourier techniques or involve wavelet tools; they may be orthogonal or have redundancies (e.g.,, Representations, Wavelets and Frames : A Celebration of the Mathematical Work of Lawrence Baggett

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