Wavelet Analysis on the Sphere Spheroidal Wavelets
The goal of this monograph is to develop the theory of 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 cons...
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Main Author: | |
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Other Authors: | , |
Format: | Electronic Book Chapter |
Language: | English |
Published: |
De Gruyter
2017
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Subjects: | |
Online Access: | OAPEN Library: download the publication OAPEN Library: description of the publication |
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Summary: | The goal of this monograph is to develop the theory of 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. |
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ISBN: | /doi.org/10.1515/9783110481884 9783110481884 |
Access: | Open Access |