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Wavelet Analysis on the Sphere(English, Electronic book text, Arfaoui Sabrine) is written by Arfaoui Sabrine and published by De Gruyter. It's available with International Standard Book Number or ISBN identification 311048188X (ISBN 10) and 9783110481884 (ISBN 13).
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.