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This volume reflects the latest developments in the area of wavelet analysis and its applications. Since the cornerstone lecture of Yves Meyer presented at the ICM 1990 in Kyoto, to some extent, wavelet analysis has often been said to be mainly an applied area. However, a significant percentage of contributions now are connected to theoretical mathematical areas, and the concept of wavelets continuously stretches across various disciplines of mathematics.
Key topics:
Approximation and Fourier Analysis
Construction of Wavelets and Frame Theory
Fractal and Multifractal Theory
Wavelets in Numerical Analysis
Time-Frequency Analysis
Adaptive Representation of Nonlinear and Non-stationary Signals
Applications, particularly in image processing
Through the broad spectrum, ranging from pure and applied mathematics to real applications, the book will be most useful for researchers, engineers and developers alike.
List of contents
From the contents:
Preface
I. Wavelet Theory
- 1. Approximation and Fourier Analysis
- 2. Construction of Wavelets and Frame Theory
- 3. Fractal and Multifractal Theory, Wavelet Algorithms, Wavelets in Numerical Analysis
- 4. Time-Frequency Analysis, Adaptive Representation of Nonlinear and Non-stationary Signals
II. Wavelet Applications
Summary
This volume reflects the latest developments in the area of wavelet analysis and its applications. Since the cornerstone lecture of Yves Meyer presented at the ICM 1990 in Kyoto, to some extent, wavelet analysis has often been said to be mainly an applied area. However, a significant percentage of contributions now are connected to theoretical mathematical areas, and the concept of wavelets continuously stretches across various disciplines of mathematics.
Key topics:
- Approximation and Fourier Analysis
- Construction of Wavelets and Frame Theory
- Fractal and Multifractal Theory
- Wavelets in Numerical Analysis
- Time-Frequency Analysis
- Adaptive Representation of Nonlinear and Non-stationary Signals
- Applications, particularly in image processing
Through the broad spectrum, ranging from pure and applied mathematics to real applications, the book will be most useful for researchers, engineers and developers alike.
