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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| Format: | Electronic Book Chapter |
| Language: | English |
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De Gruyter
2017
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| Online Access: | DOAB: download the publication DOAB: description of the publication |
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| 024 | 7 | |a 10.1515/9783110481884 |c doi | |
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| 700 | 1 | |a Ben Mabrouk, Anouar |4 auth | |
| 700 | 1 | |a Arfaoui, Sabrine |4 auth | |
| 245 | 1 | 0 | |a Wavelet Analysis on the Sphere. Spheroidal Wavelets |
| 260 | |b De Gruyter |c 2017 | ||
| 300 | |a 1 electronic resource (144 p.) | ||
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| 506 | 0 | |a Open Access |2 star |f Unrestricted online access | |
| 520 | |a 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. | ||
| 540 | |a Creative Commons |f https://creativecommons.org/licenses/by-nc-nd/4.0/ |2 cc |4 https://creativecommons.org/licenses/by-nc-nd/4.0/ | ||
| 546 | |a English | ||
| 653 | |a Wavelets | ||
| 653 | |a spherical harmonics | ||
| 653 | |a harmonic analysis | ||
| 653 | |a special functions | ||
| 653 | |a zonal functions | ||
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| 856 | 4 | 0 | |a www.oapen.org |u https://directory.doabooks.org/handle/20.500.12854/62537 |7 0 |z DOAB: description of the publication |