Wavelet Analysis on the Sphere. Spheroidal Wavelets
Download Url(s)
https://doi.org/10.1515/9783110481884Author(s)
Rezgui, Imen
Ben Mabrouk, Anouar
Arfaoui, Sabrine
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
Wavelets; spherical harmonics; harmonic analysis; special functions; zonal functionsISBN
9783110481884Publisher
De GruyterPublisher website
http://www.degruyter.com/Publication date and place
2017Classification
Mathematics & science