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oapen-20.500.12657-438082021-01-25T13:51:10Z Wavelet Analysis on the Sphere Mabrouk, Anouar Ben Arfaoui, Sabrine Rezgui, Imen Mathematics Mathematical Analysis bic Book Industry Communication::P Mathematics & science::PB Mathematics::PBK Calculus & 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. 2020-12-15T14:00:16Z 2020-12-15T14:00:16Z 2017 book 9783110481884 https://library.oapen.org/handle/20.500.12657/43808 eng application/pdf n/a external_content.pdf De Gruyter De Gruyter https://doi.org/10.1515/9783110481884 104166 https://doi.org/10.1515/9783110481884 2b386f62-fc18-4108-bcf1-ade3ed4cf2f3 b818ba9d-2dd9-4fd7-a364-7f305aef7ee9 9783110481884 Knowledge Unlatched (KU) De Gruyter Knowledge Unlatched open access
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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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