Spherical continuous wavelet transforms arising from sections of the Lorentz group

DOI10.1016/j.acha.2008.04.005zbMath1161.42016arXiv0706.1956OpenAlexW2963807969MaRDI QIDQ1006630

J. Martínez

Publication date: 25 March 2009

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0706.1956

zbMATH Keywords

groupcontinuous wavelet transformSpherical wavelets

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) General harmonic expansions, frames (42C15)

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Cites Work

• Coorbit spaces and Banach frames on homogeneous spaces with applications to the sphere
• Monogenic calculus as an intertwining operator
• Wavelets on the 2-sphere: A group-theoretical approach
• Wavelets on the sphere: implementation and approximations
• Coherent states, wavelets and their generalizations
• Continuous wavelet transform and wavelet frames on the sphere using Clifford analysis
• Möbius transformations in expressed through 2×2 matrices of clifford numbers
• Loops and semidirect products
• Fast Directional Continuous Spherical Wavelet Transform Algorithms
• Wavelets on the n-sphere and related manifolds
• Continuous wavelet transforms on the sphere
• Generalized coorbit theory, Banach frames, and the relation to α-modulation spaces
• Sur les représentations unitaires des groupes de Lorentz généralisés
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