**Contemporary Mathematics**

Volume: 451;
2008;
291 pp;
Softcover

MSC: Primary 11; 20; 35; 41; 42; 47; 94;

Print ISBN: 978-0-8218-4144-0

Product Code: CONM/451

List Price: $97.00

Individual Member Price: $77.60

**Electronic ISBN: 978-0-8218-8130-9
Product Code: CONM/451.E**

List Price: $97.00

Individual Member Price: $77.60

# Frames and Operator Theory in Analysis and Signal Processing

Share this page *Edited by *
*David R. Larson; Peter Massopust; Zuhair Nashed; Minh Chuong Nguyen; Manos Papadakis; Ahmed Zayed*

This volume contains articles based on
talks presented at the Special Session *Frames and Operator Theory in
Analysis and Signal Processing*, held in San Antonio, Texas, in January
of 2006.

Recently, the field of frames has undergone tremendous advancement. Most of the work in this field is focused on the design and construction of more versatile frames and frames tailored towards specific applications, e.g., finite dimensional uniform frames for cellular communication. In addition, frames are now becoming a hot topic in mathematical research as a part of many engineering applications, e.g., matching pursuits and greedy algorithms for image and signal processing. Topics covered in this book include:

Application of several branches of analysis (e.g., PDEs; Fourier, wavelet, and harmonic analysis; transform techniques; data representations) to industrial and engineering problems, specifically image and signal processing.

Theoretical and applied aspects of frames and wavelets.

Pure aspects of operator theory emphasizing the connections to applied mathematics, frames, and signal processing.

This volume will be equally attractive to pure mathematicians working on the foundations of frame and operator theory and their interconnections as it will to applied mathematicians investigating applications and to physicists and engineers employing these designs. It thus may appeal to a wide target group of researchers and may serve as a catalyst for cross-fertilization of several important areas of mathematics and the applied sciences.

#### Table of Contents

# Table of Contents

## Frames and Operator Theory in Analysis and Signal Processing

- Contents v6 free
- Preface vii8 free
- List of Participants ix10 free
- Haar-type Orthonormal Systems, Data Presentation as Riesz Products and a Recognition on Symbolic Sequences 112 free
- Classes of Finite Equal Norm Parseval Frames 1122
- P-adic Pseudodifferential Operators and Wavelets 3344
- Short-Time Fourier Transform Analysis of Localization Operators 4758
- Fractal Wavelets of Dutkay-Jorgensen Type For the Sierpinski Gasket Space 6980
- Texture Identification of Tissues Using Directional Wavelet, Ridgelet and Curvelet Transforms 89100
- Coxeter Groups, Wavelets, Multiresolution and Sampling 119130
- Operator Theory and Modulation Spaces 137148
- Frame Analysis and Approximation in Reproducing Kernel Hilbert Spaces 151162
- Operator-Valued Frames On C*-Modules 171182
- Coxeter Groups and Wavelet Sets 187198
- Characterization of Minimizers of Convex Regularization Functionals 219230
- Error Estimates for the PSWF Method in MRI 249260
- Structure of the Set of Dyadic PFW's 263274

#### Readership

Graduate students and research mathematicians interested in pure and applied harmonic analysis, and operator theory.