Wavelet Analysis on the Sphere: Spheroidal Wavelets

Sabrine Arfaoui; Imen Rezgui; Anouar Ben Mabrouk

Open Access Published by De Gruyter 2017

Wavelet Analysis on the Sphere

Spheroidal Wavelets

Sabrine Arfaoui , Imen Rezgui and Anouar Ben Mabrouk
Funded by: Knowledge Unlatched

https://doi.org/10.1515/9783110481884

Overview
Contents

About this book

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.

Author / Editor information

Anouar Ben Mabrouk, Sabrine Arfaoui and Imen Rezgui, University of Monastir, Tunisia.

Topics

Frontmatter Publicly Available Download PDF	I
Contents Publicly Available Download PDF	V
List of Figures Open Access Download PDF	VII
List of Tables Open Access Download PDF	IX
Preface Open Access Download PDF	XI
1. Introduction Open Access Download PDF	1
2. Review of orthogonal polynomials Open Access Download PDF	3
3. Homogenous polynomials and spherical harmonics Open Access Download PDF	31
4. Review of special functions Open Access Download PDF	51
5. Spheroidal-type wavelets Open Access Download PDF	105
6. Some applications Open Access Download PDF	125
Bibliography Open Access Download PDF	137

(Deutsch)

Language: English
Publisher: De Gruyter
Audience: Graduate students and researchers in mathematics, physics, and computer science.
Pages
- Front matter: 12
- Main content: 144
Illustrations
- Illustrations: 16
Keywords: Wavelets; harmonic analysis; spherical harmonics; special functions; zonal functions

eBook

Published: March 20, 2017
ISBN: 9783110481884

Hardcover

Published: March 20, 2017
ISBN: 9783110481099