Wavelet Analysis on the Sphere —— Spheroidal Wavelets

----- 球形的微波分析

ISBN: 9783110481099 出版年：2017 页码：156 Arfaoui, Sabrine Rezgui, Imen Ben Mabrouk, Anouar De Gruyter

This monograph is concerned with 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. ContentsReview of orthogonal polynomialsHomogenous polynomials and spherical harmonicsReview of special functionsSpheroidal-type wavelets Some applicationsSome applications