Construction of Wavelets Through Walsh Functions

• Main Authors: Farkov, Yu. A. (Author, http://id.loc.gov/vocabulary/relators/aut), Manchanda, Pammy (http://id.loc.gov/vocabulary/relators/aut), Siddiqi, Abul Hasan (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Singapore : Springer Singapore : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Series: Industrial and Applied Mathematics,
• Subjects: Mathematical analysis.; Analysis (Mathematics).; Analysis.

This book focuses on the fusion of wavelets and Walsh analysis, which involves non-trigonometric function series (or Walsh-Fourier series). The primary objective of the book is to systematically present the basic properties of non-trigonometric orthonormal systems such as the Haar system, Haar-Vilen...

Table of Contents:

• Chapter 1. Introduction to Walsh Analysis and Wavelets
• Chapter 2. Walsh-Fourier Series
• Chapter 3. Haar-Fourier Analysis
• Chapter 4. Construction of Dyadic Wavelets through Walsh Functions
• Chapter 5. Orthogonal And Periodic Wavelets On Vilenkin Groups
• Chapter 6. Haar-Vilenkin Wavelet
• Chapter 7. Construction Biorthogonal Wavelets and Frames
• Chapter 8. Wavelets associated with Nonuniform Multiresolution analysis on positive half line
• Chapter 9. Orthogonal Vector Valued Wavelets on R+
• Appendices.