Wavelet Analysis on the Sphere

DOI10.1515/9783110481884zbMath1369.42026OpenAlexW4211156068MaRDI QIDQ2836176

Sabrine Arfaoui, Anouar Ben Mabrouk, Imen Rezgui

Publication date: 7 December 2016

Full work available at URL: https://doi.org/10.1515/9783110481884

zbMATH Keywords

orthogonal polynomialstextbookspherical harmonicsspecial functionsorthogonal polynomial expansionspherical wavelet

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Spherical harmonics (33C55) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to harmonic analysis on Euclidean spaces (42-01)

Related Items (8)

Toward recursive spherical harmonics issued bi-filters. II: An associated spherical harmonics entropy for optimal modeling ⋮ Some old orthogonal polynomials revisited and associated wavelets: two-parameters Clifford-Jacobi polynomials and associated spheroidal wavelets ⋮ INTERPOLATING WAVELETS ON THE SPHERE ⋮ A sharp Clifford wavelet Heisenberg-type uncertainty principle ⋮ Toward recursive spherical harmonics-issued bi-filters. I: Theoretical framework ⋮ New type of Gegenbauer-Hermite monogenic polynomials and associated Clifford wavelets ⋮ Further results on the inverse base of axially monogenic polynomials ⋮ Explicit Haar–Schauder multiwavelet filters and algorithms. Part II: Relative entropy-based estimation for optimal modeling of biomedical signals

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