TY - BOOK ID - 19363289 TI - Wavelet analysis on the sphere : spheroidal wavelets AU - Arfaoui, Sabrine AU - Rezgui, Imen AU - Mabrouk, Anouar Ben AU - Knowledge Unlatched PY - 2017 SN - 311048188X 311048109X 3110481243 9783110481242 PB - De Gruyter DB - UniCat KW - Wavelets (Mathematics) KW - Wavelet analysis KW - Harmonic analysis KW - Wavelets. KW - harmonic analysis. KW - special functions. KW - spherical harmonics. KW - zonal functions. UR - https://www.unicat.be/uniCat?func=search&query=sysid:19363289 AB - 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 ER -