Wavelet Analysis on the Sphere
Spheroidal Wavelets
Author(s)
Mabrouk, Anouar Ben
Arfaoui, Sabrine
Rezgui, Imen
Collection
Knowledge Unlatched (KU)Language
EnglishAbstract
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.
Keywords
Mathematics; Mathematical AnalysisISBN
9783110481884Publisher
De GruyterPublisher website
http://www.degruyter.com/Publication date and place
2017Grantor
Imprint
De GruyterClassification
Calculus and mathematical analysis