Gabor analysis as contraction of wavelets analysis

DOI10.1063/1.4986620zbMath1373.65096arXiv1403.1224OpenAlexW3106185709MaRDI QIDQ5357523

Joseph L. Birman, Ehud Moshe Baruch, Eyal Subag, Ady Mann

Publication date: 11 September 2017

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

Full work available at URL: https://arxiv.org/abs/1403.1224

zbMATH Keywords

Heisenberg groupwaveletGabor analysisGabor framewavelet framegroup contraction

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Numerical methods for wavelets (65T60) Applications of Lie groups to the sciences; explicit representations (22E70) General harmonic expansions, frames (42C15) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03) Affine algebraic groups, hyperalgebra constructions (14L17)

Related Items (3)

\(\mathcal K\)-matrix-valued wave packet frames in \(L^2(\mathbb R^d,\mathbb C^{s\times r})\) ⋮ Nonstationary frames of translates and frames from the Weyl–Heisenberg group and the extended affine group ^* ⋮ Frames with several generators associated with Weyl-Heisenberg group and extended affine group

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