Wavelet Analysis on the Sphere

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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Главные авторы: Mabrouk, Anouar Ben, Arfaoui, Sabrine, Rezgui, Imen
Формат: Online
Язык:английский
Опубликовано: De Gruyter 2021
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Online-ссылка:OCN: 984643018
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author Mabrouk, Anouar Ben
Arfaoui, Sabrine
Rezgui, Imen
author_browse Arfaoui, Sabrine
Mabrouk, Anouar Ben
Rezgui, Imen
author_facet Mabrouk, Anouar Ben
Arfaoui, Sabrine
Rezgui, Imen
author_sort Mabrouk, Anouar Ben
collection Directory of Open Access Books
description 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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institution Directory of Open Access Books
language eng
publishDate 2021
publishDateRange 2021
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publisherStr De Gruyter
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spelling doab-20.500.12854ir-384912025-07-31T16:43:13Z Wavelet Analysis on the Sphere Mabrouk, Anouar Ben Arfaoui, Sabrine Rezgui, Imen Mathematics Mathematical Analysis thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis 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. 2021-02-10T14:55:47Z 2021-02-10T14:55:47Z 2020-12-15T14:00:16Z 2017 book OCN: 984643018 https://library.oapen.org/handle/20.500.12657/43808 9783110481884 https://directory.doabooks.org/handle/20.500.12854/38491 eng open access image/jpeg image/jpeg image/jpeg image/jpeg n/a n/a n/a n/a https://library.oapen.org/bitstream/20.500.12657/43808/1/external_content.pdf https://library.oapen.org/bitstream/20.500.12657/43808/1/external_content.pdf https://library.oapen.org/bitstream/20.500.12657/43808/1/external_content.pdf https://library.oapen.org/bitstream/20.500.12657/43808/1/external_content.pdf De Gruyter De Gruyter https://doi.org/10.1515/9783110481884 https://doi.org/10.1515/9783110481884 af2fbfcc-ee87-43d8-a035-afb9d7eef6a5 Knowledge Unlatched 9783110481884 Knowledge Unlatched (KU) KU Select 2019: STEM Backlist Books De Gruyter open access
spellingShingle Mathematics
Mathematical Analysis
thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis
Mabrouk, Anouar Ben
Arfaoui, Sabrine
Rezgui, Imen
Wavelet Analysis on the Sphere
title Wavelet Analysis on the Sphere
title_full Wavelet Analysis on the Sphere
title_fullStr Wavelet Analysis on the Sphere
title_full_unstemmed Wavelet Analysis on the Sphere
title_short Wavelet Analysis on the Sphere
title_sort wavelet analysis on the sphere
topic Mathematics
Mathematical Analysis
thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis
topic_facet Mathematics
Mathematical Analysis
thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis
url OCN: 984643018
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