Wavelet Analysis on the Sphere.

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 ba...

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Bibliographic Details
Main Author: Arfaoui, Sabrine
Format: eBook
Language:English
Published: Berlin/Boston, UNITED STATES De Gruyter, 2017.
Subjects:
Online Access:EBSCOhost
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100 1 |a Arfaoui, Sabrine.  |9 910531 
245 1 0 |a Wavelet Analysis on the Sphere. 
260 |a Berlin/Boston, UNITED STATES  |b De Gruyter,  |c 2017.  |9 906076 
300 |a 1 online resource (156) 
588 0 |a Print version record. 
505 0 0 |t Frontmatter --  |t Contents --  |t List of Figures --  |t List of Tables --  |t Preface --  |t 1. Introduction --  |t 2. Review of orthogonal polynomials --  |t 3. Homogenous polynomials and spherical harmonics --  |t 4. Review of special functions --  |t 5. Spheroidal-type wavelets --  |t 6. Some applications --  |t Bibliography. 
520 |a 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. 
504 |a Includes bibliographical references. 
506 0 |a Open Access  |5 EbpS 
653 0 |a Wavelets (Mathematics) 
653 7 |a MATHEMATICS  |x Calculus.  |2 bisacsh 
653 7 |a MATHEMATICS  |x Mathematical Analysis.  |2 bisacsh 
653 7 |a Wavelets (Mathematics)  |2 fast  |0 (OCoLC)fst01172896 
655 0 |a EBSCO eBooks  |9 905790 
655 4 |a Electronic books.  |9 899821 
856 4 0 |3 EBSCOhost  |u https://www.lib.tsu.ru/limit/2023/EBSCO/1497099.pdf 
856 |y Перейти в каталог НБ ТГУ  |u https://koha.lib.tsu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=1012872 
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