Wavelet Analysis on the Sphere: Spheroidal Wavelets
De Gruyter | English | 2018 | ISBN-10: 311048109X | 144 pages | PDF | 1.62 MB

by Sabrine Arfaoui (Author), Imen Rezgui (Author), Anouar Ben Mabrouk (Author)

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.

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

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