**Contemporary Mathematics**

Volume: 216;
1998;
175 pp;
Softcover

MSC: Primary 42; 41;
Secondary 43; 39; 65; 46; 94; 45

Print ISBN: 978-0-8218-0793-4

Product Code: CONM/216

List Price: $63.00

Individual Member Price: $50.40

**Electronic ISBN: 978-0-8218-7808-8
Product Code: CONM/216.E**

List Price: $63.00

Individual Member Price: $50.40

# Wavelets, Multiwavelets, and Their Applications

Share this page *Edited by *
*Akram Aldroubi; EnBing Lin*

This volume contains refereed research articles on the active
area of wavelets and multiwavelets. The book draws upon work presented
by experts in the field during the special session on “Wavelets,
Multiwavelets and Their Applications” at the Joint Mathematics
Meetings in San Diego (January 1997).

Wavelets were implicit in mathematics, physics, signal or image
processing, and numerical analysis long before they were given the
status of a unified scientific field in the late 1980s. They continue
to be one of the few subjects that have attracted considerable
interest from the mathematical community as well as from other diverse
disciplines where they have had promising applications. The topic is
in full evolution, with many active research efforts emerging from the
fruitful interaction of various mathematical subjects and other
scientific disciplines.

#### Table of Contents

# Table of Contents

## Wavelets, Multiwavelets, and Their Applications

- Contents vii8 free
- Part I. Wavelet Theory and Applications 112 free
- Part II. Multiwavelet Theory and Applications 95106
- Characterization and parameterization of multiwavelet bases 97108
- Nonhomogeneous refinement equations 117128
- Multi-scaling function interpolation and approximation 129140
- A note on construction of biorthogonal multi-scaling functions 149160
- Orthonormal matrix valued wavelets and matrix Karhunen-Loève expansion 159170

#### Readership

Graduate students, research mathematicians, physicists, engineers, geophysicists and computer scientists working in Fourier analysis.