Wavelet analysis on the sphere : : spheroidal wavelets / / Sabrine Arfaoui, Imen Rezgui, Anouar Ben Mabrouk.

• Funder: Knowledge Unlatched
• VerfasserIn: Arfaoui, Sabrine,; Rezgui, Imen,; Mabrouk, Anouar Ben,
• TeilnehmendeR: Rezgui, Imen,; Mabrouk, Anouar Ben,
• Author: Knowledge Unlatched
• Place / Publishing House: Berlin, [Germany] ;, Boston, [Massachusetts] : : De Gruyter,, 2017.; ℗2017
• Year of Publication: 2017
• Language: English
• Physical Description: 1 online resource (156 pages) :; illustrations, tables
• Other title: 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
• Bibliography: Includes bibliographical references.
• ISBN: 3110481243
• Hierarchical level: Monograph
• Statement of Responsibility: Sabrine Arfaoui, Imen Rezgui, Anouar Ben Mabrouk.

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