Wavelet Theory and Its Applications

Author: Peng Silong
Publisher:
Publish Date: 2003-03-01
Features: This book can be used as a graduate textbook for those who wish to learn and understand periodic wavelet theory and its applications, or as a reference book for researchers in related fields. The book briefly introduces some of the main developments in periodic wavelets in recent years. Chapter 1 introduces the main framework of periodic wavelets, Chapter 2 introduces methods and theories for constructing periodic translation orthogonal wavelets from periodic basis functions, Chapter 3 introduces the construction methods and related properties of periodic basis interpolation wavelets, and the last chapter introduces fast algorithms for solving one-dimensional periodic integral equations using periodic wavelets. This book only requires readers to have a basic foundation in functional theory to read it, and the content is largely self-contained.