Characterizing abelian admissible groups

DOI10.1007/s12220-013-9455-0zbMath1440.42168arXiv1104.0838OpenAlexW2057406414MaRDI QIDQ2347938

Julià Cufí, Hartmut Führ, Joaquim Bruna, M. Lara Miro

Publication date: 10 June 2015

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.0838

zbMATH Keywords

Lie algebraLie groupwavelet transformsCalderón conditionfundamental regionquasiregular representationabelian admissible groups

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Analysis on real and complex Lie groups (22E30) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65)

Related Items (7)

Characterization of regularity for a connected abelian action ⋮ A classification of continuous wavelet transforms in dimension three ⋮ The cortex of a class of semidirect product exponential Lie groups ⋮ Linear dynamical systems of nilpotent Lie groups ⋮ Coorbit spaces associated to integrably admissible dilation groups ⋮ Integrability properties of quasi-regular representations of \(NA\) groups ⋮ The Plancherel formula for an inhomogeneous vector group

Cites Work

• A characterization of the higher dimensional groups associated with continuous wavelets.
• Abstract harmonic analysis of continuous wavelet transforms
• Continuous wavelet transforms from semidirect products: cyclic representations and Plancherel measure.
• Transformation groups and \(C^ *\)-algebras
• Generalized Calderón conditions and regular orbit spaces
• Continuous wavelet transforms with Abelian dilation groups
• Wavelets from Square-Integrable Representations
• Wavelet frames and admissibility in higher dimensions
• On discrete frames associated with semidirect products
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Characterizing abelian admissible groups