Wavelet Analysis on the Sphere: Spheroidal Wavelets

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. Additional ISBNs 9783110481099|9783110481884, 311048109X|311048188XWavelet Analysis on the Sphere Spheroidal Wavelets 1st Edition by Sabrine Arfaoui; Imen Rezgui; Anouar Ben Mabrouk and Publisher De Gruyter. ISBN: 9783110481242, 3110481243. The print version of this textbook is ISBN: 9783110481099, 311048109X.