On discrete frames associated with semidirect products

DOI10.1007/BF02510424zbMath0984.42023OpenAlexW2018593285MaRDI QIDQ5937490

Ernesto De Vito, Gianni Cassinelli, Alberto Levrero, Paolo Aniello

Publication date: 4 November 2001

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/59679

zbMATH Keywords

framesadmissible functionsemidirect productsquare-integrable representationswavelet transforms

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Coherent states (81R30) Unitary representations of locally compact groups (22D10)

Related Items (5)

Twirled products and group-covariant symbols ⋮ Discrete frames for \(L^2(\mathbb{R}^{n^2})\) arising from tiling systems on \(\mathrm{GL}_n(\mathbb{R})\) ⋮ Orthonormal bases in the orbit of square-integrable representations of nilpotent Lie groups ⋮ Square Integrable Representations, An Invaluable Tool ⋮ Characterizing abelian admissible groups

Cites Work

• Describing functions: Atomic decompositions versus frames
• Compact Clifford-Klein forms of symmetric spaces
• The wavelet transform, time-frequency localization and signal analysis
• Ten Lectures on Wavelets
• Inequalities of Littlewood–Paley Type for Frames and Wavelets
• Wavelet transforms and discrete frames associated to semidirect products

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