Two ways to incorporate scale in the Heisenberg group with an intertwining operator

DOI10.1007/BF01248404zbMath0845.42017OpenAlexW4244039689MaRDI QIDQ1318609

Joseph Segman, Walter Johannes Schempp

Publication date: 6 April 1994

Published in: Journal of Mathematical Imaging and Vision (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01248404

zbMATH Keywords

Heisenberg groupphase shiftSchrödinger representationGabor transformZak transformsignal representationsignal decompositionmultiscale resolutionmultiscale waveletsphase scale

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Harmonic analysis on specific compact groups (43A75) General harmonic expansions, frames (42C15)

Related Items (3)

The uncertainty principle: group theoretic approach, possible minimizers and scale-space properties ⋮ Spaces generated by orbits of unitary representations: a tribute to Guido Weiss ⋮ Image analysis by wavelet-type transforms: Group theoretic approach

Cites Work

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• Decomposition of Hardy Functions into Square Integrable Wavelets of Constant Shape
• Painless nonorthogonal expansions
• Orthonormal bases of compactly supported wavelets
• The wavelet transform, time-frequency localization and signal analysis
• Multiresolution Approximations and Wavelet Orthonormal Bases of L 2 (R)
• Oversampling in the Gabor scheme
• Continuous and Discrete Wavelet Transforms

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