Representations, Wavelets and Frames

, by Jorgensen, Palle E. T.; Merrill, Kathy; Packer, Judith

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ISBN: 9780817646820 | 0817646825
Cover: Hardcover
Copyright: 9/1/2008

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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., frames from signal analysis).

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ANHA Series Preface	p. ix
Foreword	p. xiii
Preface	p. xv
Acknowledgments	p. xxv
Mathematical Family Tree of Lawrence W. Baggett	p. xxvii
Publications of Lawrence W. Baggett	p. xxix
Co-workers of Lawrence W. Baggett	p. xxxiii
Titles of All Talks	p. xxxv
Classical and Abstract Harmonic Analysis
Some Riemann Sums Are Better Than Others	p. 3
Gelfand Pairs Associated with Finite Heisenberg Groups	p. 13
Groups with Atomic Regular Representation	p. 33
Wavelet Transforms and Admissible Group Representations	p. 47
Frames and Multiresolution Structures
The Density Theorem and the Homogeneous Approximation Property for Gabor Frames	p. 71
Recent Developments on Dual Wavelet Frames	p. 103
Characteristic Wavelet Equations and Generalizations of the Spectral Function	p. 131
Baggett's Problem for Frame Wavelets	p. 153
Wavelet Sets
Simple Wavelet Sets for Scalar Dilations in R[superscript 2]	p. 177
Interpolation Maps and Congruence Domains for Wavelet Sets	p. 193
Applications to Dynamical Systems and C*-Algebras
Orthogonal Exponentials for Bernoulli Iterated Function Systems	p. 217
A Survey of Projective Multiresolution Analyses and a Projective Multiresolution Analysis Corresponding to the Quincunx Lattice	p. 239
Signal and Image Processing
Sampling and Time-Frequency Localization of Band-Limited and Multiband Signals	p. 275
Entropy Encoding in Wavelet Image Compression	p. 293
Symbols	p. 313
Index	p. 315
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Representations, Wavelets and Frames

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