Wavelets associated with representations of the affine Weyl–Heisenberg group
- 1 May 1991
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 32 (5), 1273-1279
- https://doi.org/10.1063/1.529325
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
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