Подробное описание документа

Sabrine Arfaoui, Imen Rezgui, Anouar Ben Mabrouk
   Wavelet Analysis on the Sphere : Spheroidal Wavelets / Sabrine Arfaoui, Imen Rezgui, Anouar Ben Mabrouk. - Berlin/Boston, UNITED STATES : De Gruyter, 2017. - ISBN 9783110481242.

EBSCO eBooks

https://library.bmstu.ru/eBook/pdf/1497099

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