Multivariate Wavelet Frames

• Main Authors: Skopina, Maria (Author), Krivoshein, Aleksandr (Author), Protasov, Vladimir (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Singapore : Springer Singapore : Imprint: Springer, 2016.
• Series: Industrial and Applied Mathematics,
• Subjects: Mathematics.; Fourier analysis.; Functional analysis.; Applied mathematics.; Engineering mathematics.; Fourier Analysis.; Functional Analysis.; Applications of Mathematics.; Signal, Image and Speech Processing.

This book presents a systematic study of multivariate wavelet frames with matrix dilation, in particular, orthogonal and bi-orthogonal bases, which are a special case of frames. Further, it provides algorithmic methods for the construction of dual and tight wavelet frames with a desirable approximat...

Table of Contents:

• Chapter 1. Bases and Frames in Hilbert Spaces
• Chapter 2. MRA-based Wavelet Bases and Frames
• Chapter 3. Construction of Wavelet Frames
• Chapter 4. Frame-like Wavelet Expansions
• Chapter 5. Symmetric Wavelets
• Chapter 6. Smoothness of Wavelets
• Chapter 7. Special Questions.