Directional spherical multipole wavelets

DOI10.1063/1.3177198zbMath1256.42051OpenAlexW1999057190MaRDI QIDQ3069161

Michael Hayn, Matthias Holschneider

Publication date: 24 January 2011

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3177198

zbMATH Keywords

quantum theorymatrix algebradifferential equationsdiscrete wavelet transformsmathematical operators

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Pseudodifferential operators as generalizations of partial differential operators (35S05)

Related Items (7)

Frames of directional wavelets on \(n\)-dimensional spheres ⋮ On the uncertainty product of spherical functions ⋮ Angular multiselectivity with spherical wavelets ⋮ Directional wavelets on \(n\)-dimensional spheres ⋮ Continuous wavelet transforms on \(n\)-dimensional spheres ⋮ Spin weighted spherical wavelets derived from approximate identities ⋮ A continuous spherical wavelet transform for \(\mathcal{C}(\mathcal{S}^n)\)

Cites Work

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• Two-dimensional directional wavelets and the scale-angle representation
• Position-frequency analysis for signals defined on spheres
• Locally supported wavelets on manifolds with applications to the 2D sphere
• Wavelets on the sphere: implementation and approximations
• Spherical wavelet transform and its discretization
• Poisson wavelets on the sphere
• Complex data processing: Fast wavelet analysis on the sphere
• The Curious History of Faa di Bruno's Formula
• Multiresolution analysis and wavelets onS²andS³
• Continuous wavelet transforms on the sphere
• A construction of \(C^1\)-wavelets on the two-dimensional sphere

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