Wavelet Analysis on the Sphere

Spheroidal Wavelets
1. Auflage 2017
ISBN: 978-3-11-048109-9
Verlag: De Gruyter

Buch, Englisch, 144 Seiten, Format (B × H): 175 mm x 246 mm, Gewicht: 455 g

This monograph is concerned with 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.

Contents
Review of orthogonal polynomials
Homogenous polynomials and spherical harmonics
Review of special functions
Spheroidal-type wavelets Some applications
Some applications

Zielgruppe

Graduate students and researchers in mathematics, physics, and co

Autoren/Hrsg.

Arfaoui, Sabrine

Ben Mabrouk, Anouar

Rezgui, Imen

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Mathematische Analysis

Über Autor(innen)

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