Wavelet Analysis on the Sphere : Spheroidal Wavelets / Anouar Ben Mabrouk, Sabrine Arfaoui, Imen Rezgui.
Material type: TextLanguage: English Publisher: Berlin ; Boston : De Gruyter, [2017]Copyright date: ©2017Description: 1 online resource (156 p.)Content type:- text
- computer
- online resource
- 9783110481884
Frontmatter -- Contents -- List of Figures -- List of Tables -- Preface -- 1. Introduction -- 2. Review of orthogonal polynomials -- 3. Homogenous polynomials and spherical harmonics -- 4. Review of special functions -- 5. Spheroidal-type wavelets -- 6. Some applications -- Bibliography
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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
Mode of access: Internet via World Wide Web.
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In English.
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