All the groups of signal analysis from the (1+1)-affine Galilei group

DOI10.1063/1.3652697zbMath1272.81038arXiv1106.3768OpenAlexW3101864628MaRDI QIDQ2851739

S. Hasibul Hassan Chowdhury, Syed Twareque Ali

Publication date: 2 October 2013

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

Full work available at URL: https://arxiv.org/abs/1106.3768

zbMATH Keywords

Weyl-Heisenberg groupshearlet groupStockwell group

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Computing methodologies for image processing (68U10) Quantum computation (81P68) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Applications of Lie groups to the sciences; explicit representations (22E70) Unitary representations of locally compact groups (22D10) Central extensions and Schur multipliers (19C09) Axiomatics, foundations (70A05)

Related Items (2)

On the range of Stockwell transforms ⋮ Continuous Stockwell transform: Coherent states and localization operators

Cites Work

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• Unitary representations of group extensions. I
• Shearlet coorbit spaces and associated Banach frames
• On unitary ray representations of continuous groups
• Non-relativistic conformal symmetries and Newton–Cartan structures
• A group representation related to the Stockwell transform
• Ten Lectures on Wavelets
• Galilean wavelets: Coherent states of the affine Galilei group
• Imprimitivity for Representations of Locally Compact Groups I

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