Wavelet Analysis on the Sphere: Spheroidal Wavelets

✍ Scribed by Sabrine Arfaoui; Imen Rezgui; Anouar Ben Mabrouk; Knowledge Unlatched

• Publisher: De Gruyter
• Year: 2017
• Tongue: English
• Leaves: 156
• Category: Library

✦ Synopsis

The goal of this monograph is to develop the theory of wavelet harmonic analysis on the sphere. By starting with orthogonal polynomials and functional Hilbert spaces on the sphere, the foundations are laid for the study of spherical harmonics such as zonal functions. The book also discusses the construction of wavelet bases using special functions, especially Bessel, Hermite, Tchebychev, and Gegenbauer polynomials.

✦ Table of Contents

Contents
List of Figures
List of Tables
Preface
1. Introduction
2. Review of orthogonal polynomials
3. Homogenous polynomials and spherical harmonics
4. Review of special functions
5. Spheroidal-type wavelets
6. Some applications
Bibliography