Wavelet Analysis on the Sphere. Spheroidal Wavelets

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 cons...

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Detalhes bibliográficos
Autor principal: Rezgui, Imen (auth)
Outros Autores: Ben Mabrouk, Anouar (auth), Arfaoui, Sabrine (auth)
Formato: Capítulo de Livro
Publicado em: De Gruyter 2017
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Descrição
Resumo: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.
Descrição Física:1 electronic resource (144 p.)
ISBN:9783110481884
DOI:10.1515/9783110481884
Acesso:Open Access