Book
Open Access
Wavelet Analysis on the Sphere
Spheroidal Wavelets
-
Sabrine Arfaoui
-
Funded by:
Knowledge Unlatched
Language:
English
Published/Copyright:
2017
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
-
Download PDFPublicly Available
Frontmatter
I -
Download PDFPublicly Available
Contents
V -
Download PDFOpen Access
List of Figures
VII -
Download PDFOpen Access
List of Tables
IX -
Download PDFOpen Access
Preface
XI -
Download PDFOpen Access
1. Introduction
1 -
Download PDFOpen Access
2. Review of orthogonal polynomials
3 -
Download PDFOpen Access
3. Homogenous polynomials and spherical harmonics
31 -
Download PDFOpen Access
4. Review of special functions
51 -
Download PDFOpen Access
5. Spheroidal-type wavelets
105 -
Download PDFOpen Access
6. Some applications
125 -
Download PDFOpen Access
Bibliography
137
Publishing information
Pages and Images/Illustrations in book
eBook published on:
March 20, 2017
eBook ISBN:
9783110481884
Hardcover published on:
March 20, 2017
Hardcover ISBN:
9783110481099
Pages and Images/Illustrations in book
Front matter:
12
Main content:
144
Illustrations:
16
Keywords for this book
Wavelets; harmonic analysis; spherical harmonics; special functions; zonal functions
Audience(s) for this book
Graduate students and researchers in mathematics, physics, and computer science.
Creative Commons
BY-NC-ND 4.0
Safety & product resources
-
Manufacturer information:
Walter de Gruyter GmbH
Genthiner Straße 13
10785 Berlin
productsafety@degruyterbrill.com
