Optimally space-localized band-limited wavelets on \(\mathbb {S}^{q-1}\)

DOI10.1016/J.CAM.2005.03.096zbMath1103.42019OpenAlexW2035705996MaRDI QIDQ849605

Noemí Laín Fernández

Publication date: 31 October 2006

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2005.03.096

zbMATH Keywords

asymptotic equalityspherical harmonicsuncertainty principlesRiemann sumsmultivariate inequalitiesoptimal localization

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Multidimensional problems (41A63) Rate of convergence, degree of approximation (41A25) Measures of information, entropy (94A17)

Related Items (8)

Optimally Localized Approximate Identities on the 2-Sphere ⋮ On the uncertainty product of spherical functions ⋮ Optimally space localized polynomials with applications in signal processing ⋮ A non-linear approximation method on the sphere ⋮ Harmonic singular integrals and steerable wavelets in \(L_2(\mathbb R^d)\) ⋮ Uncertainty principles on compact Riemannian manifolds ⋮ An alternative to Slepian functions on the unit sphere -- a space-frequency analysis based on localized spherical polynomials ⋮ Practical wavelet design on the sphere

Cites Work

• An uncertainty principle for ultraspherical expansions
• Total positivity and refinable functions with general dilation
• Best time localized trigonometric polynomials and wavelets
• Spherical harmonics
• Nonstationary wavelets on the \(m\)-sphere for scattered data
• Matrix Analysis
• Polynomial frames on the sphere
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Optimally space-localized band-limited wavelets on \(\mathbb {S}^{q-1}\)