Wavelet transform and orthogonal decomposition of space 𝐿² on the Cartan domain 𝐵𝐷𝐼(𝑞=2)
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Publication:4336554
DOI10.1090/S0002-9947-97-01727-3zbMath0868.22008MaRDI QIDQ4336554
Publication date: 13 May 1997
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
waveletsrepresentationswavelet transformIwasawa decompositionorthogonal decompositionsquare-integrable representationWeyl-Poincaré group
Coherent states (81R30) Unitary representations of locally compact groups (22D10) Nontrigonometric harmonic analysis (42C99)
Related Items (2)
Admissible vectors for the regular representation ⋮ Quaternion-valued admissible wavelets and orthogonal decomposition of \(L^2(IG(2),\mathbb H)\)
Cites Work
- Banach spaces related to integrable group representations and their atomic decompositions. I
- A quantization of the Cartan domain BD I \((q=2)\) and operators on the light cone
- On the regular representation of a nonunimodular locally compact group
- Phase space, wavelet transform and Toeplitz-Hankel type operators
- Decomposition of Hardy Functions into Square Integrable Wavelets of Constant Shape
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