Extensions of the Heisenberg group by one‐parameter groups of dilations which are subgroups of the affine and the symplectic groups
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Publication:5177987
DOI10.1002/mana.201300059zbMath1393.22007OpenAlexW2139435371MaRDI QIDQ5177987
Kampanat Namngam, Eckart Schulz
Publication date: 9 March 2015
Published in: Mathematische Nachrichten (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mana.201300059
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Analysis on real and complex Lie groups (22E30) Nilpotent and solvable Lie groups (22E25)
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Cites Work
- Equivalence of the metaplectic representation with sums of wavelet representations for a class of subgroups of the symplectic group
- Unitary representations of group extensions. I
- The continuous shearlet transform in arbitrary space dimensions
- Representations of the Mautner group. I
- A characterization of the higher dimensional groups associated with continuous wavelets.
- Abstract harmonic analysis of continuous wavelet transforms
- Extensions of the Heisenberg group by dilations and frames
- Admissible vectors for mock metaplectic representations
- Analytic features of reproducing groups for the metaplectic representation
- Isotropic Shearlet Analogs forL2(ℝk) and Localization Operators
- A four dimensional continuous wavelet transform
- Dimensional upper bounds for admissible subgroups for the metaplectic representation
- Harmonic Analysis in Phase Space. (AM-122)
- Wavelets from Square-Integrable Representations
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