Wavelet Analysis on the Sphere Spheroidal Wavelets

Wavelet Analysis on the Sphere Spheroidal Wavelets

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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 cons...

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Bibliographic Details
Main Author: Mabrouk, Anouar Ben (auth)
Other Authors: Arfaoui, Sabrine (auth), Rezgui, Imen (auth)
Format: Electronic Book Chapter
Language:English
Published: De Gruyter 2017
Subjects:
Calculus & mathematical analysis
Mathematics
Mathematical Analysis
Online Access:DOAB: download the publication
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Summary: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.
ISBN:/doi.org/10.1515/9783110481884
9783110481884
Access:Open Access

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