TY - GEN AU - Rezgui,Imen AU - Ben Mabrouk,Anouar AU - Arfaoui,Sabrine TI - Wavelet Analysis on the Sphere. Spheroidal Wavelets SN - 9783110481884 PY - 2017/// PB - De Gruyter KW - Wavelets KW - spherical harmonics KW - harmonic analysis KW - special functions KW - zonal functions N1 - Open Access N2 - 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 UR - https://doi.org/10.1515/9783110481884 UR - https://directory.doabooks.org/handle/20.500.12854/62537 ER -