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Arfaoui, Sabrine. Wavelet Analysis on the Sphere. — Berlin/Boston, UNITED STATES: De Gruyter, 2017. — 1 online resource (156). — EbpS Open Access. — <URL:http://elib.fa.ru/ebsco/1497099.pdf>.Record create date: 4/21/2017 Subject: Wavelets (Mathematics); MATHEMATICS — Calculus.; MATHEMATICS — Mathematical Analysis.; Wavelets (Mathematics) Collections: EBSCO Allowed Actions: –
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Annotation
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.
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Table of Contents
- 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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