Representations, Wavelets, and Frames A Celebration of the Mathematical Work of Lawrence W. 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., frames from signal analysis). Representation...
| Other Authors: | , , |
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| Format: | eBook |
| Language: | English |
| Published: |
Boston, MA
Birkhäuser
2008, 2008
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| Edition: | 1st ed. 2008 |
| Series: | Applied and Numerical Harmonic Analysis
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- Classical and Abstract Harmonic Analysis
- Some Riemann Sums Are Better Than Others
- Gelfand Pairs Associated with Finite Heisenberg Groups
- Groups with Atomic Regular Representation
- Wavelet Transforms and Admissible Group Representations
- Frames and Multiresolution Structures
- The Density Theorem and the Homogeneous Approximation Property for Gabor Frames
- Recent Developments on Dual Wavelet Frames
- Characteristic Wavelet Equations and Generalizations of the Spectral Function
- Baggett’s Problem for Frame Wavelets
- Wavelet Sets
- Simple Wavelet Sets for Scalar Dilations in ?2
- Interpolation Maps and Congruence Domains for Wavelet Sets
- Applications to Dynamical Systems and C*-Algebras
- Orthogonal Exponentials for Bernoulli Iterated Function Systems
- A Survey of Projective Multiresolution Analyses and a Projective Multiresolution Analysis Corresponding to the Quincunx Lattice
- Signal and Image Processing
- Sampling and Time-Frequency Localization of Band-Limited and Multiband Signals
- Entropy Encoding in Wavelet Image Compression