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
Online Access: Full Text (via EBSCO)
Main Author: Arfaoui, Sabrine
Format: Electronic eBook
Language:English
Published: Berlin/Boston, UNITED STATES : De Gruyter, 2017.
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Summary: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.
Physical Description:1 online resource (156)
Bibliography:Includes bibliographical references.
ISBN:311048188X
9783110481884
9783110481242
3110481243
Source of Description, Etc. Note:Print version record.