Abstract
The affine Weyl–Heisenberg group (generated by time and frequency translations, and time dilations) is considered, and some associated resolutions of the identity are derived. As a result, it will be shown that they can all be obtained from those associated with the affine group and the Weyl–Heisenberg group by frequency translations of the analyzed function and the analyzing and reconstructing wavelets.
Keywords
Heisenberg groupAffine transformationWaveletWeyl groupAffine groupGroup (periodic table)MathematicsPure mathematicsAlgebra over a fieldMathematical physicsPhysicsQuantum mechanicsComputer scienceArtificial intelligence
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Publication Info
- Year
- 1991
- Type
- article
- Volume
- 32
- Issue
- 5
- Pages
- 1273-1279
- Citations
- 73
- Access
- Closed
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Cite This
Bruno Torrésani
(1991).
Wavelets associated with representations of the affine Weyl–Heisenberg group.
Journal of Mathematical Physics
, 32
(5)
, 1273-1279.
https://doi.org/10.1063/1.529325
Identifiers
- DOI
- 10.1063/1.529325