Wavelet transforms and discrete frames associated to semidirect products

DOI10.1063/1.532479zbMath0929.42030OpenAlexW2037042300MaRDI QIDQ4701630

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

Publication date: 21 November 1999

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

Full work available at URL: https://semanticscholar.org/paper/9fb753fef7c353b7cdc1cb6eff825653b3002458

zbMATH Keywords

unitary representationssemidirect productwavelet transformsdiscrete frames

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Other representations of locally compact groups (22D12)

Related Items

CONTINUOUS ACTION OF LIE GROUPS ON ℝⁿ AND FRAMES, Twirled products and group-covariant symbols, Group-covariant stochastic products and phase-space convolution algebras, Sampling theorems on locally compact groups from oscillation estimates, On discrete frames associated with semidirect products, Square Integrable Representations, An Invaluable Tool, Galilean wavelets: Coherent states of the affine Galilei group

Cites Work

• Banach spaces related to integrable group representations and their atomic decompositions. I
• On the regular representation of a nonunimodular locally compact group
• Compact Clifford-Klein forms of symmetric spaces
• Induced representation of locally compact groups. I
• Decomposition of Hardy Functions into Square Integrable Wavelets of Constant Shape
• Continuous and Discrete Wavelet Transforms
• Wavelets from Square-Integrable Representations
• Wavelet frames and admissibility in higher dimensions