The Quaternionic Affine Group and Related Continuous Wavelet Transforms on Complex and Quaternionic Hilbert Spaces
| Autor: | Ali, S. Twareque, Thirulogasanthar, K. |
|---|---|
| Rok vydání: | 2014 |
| Předmět: | |
| Zdroj: | J. Math. Phys. 55, 063501 (2014) |
| Druh dokumentu: | Working Paper |
| Popis: | By analogy with the real and complex affine groups, whose unitary irreducible representations are used to define the one and two-dimensional continuous wavelet transforms, we study here the quaternionic affine group and construct its unitary irreducible representations. These representations are constructed both on a complex and a quaternionic Hilbert space. As in the real and complex cases, the representations for the quaternionic group also turn out to be square-integrable. Using these representations we constrct quaternionic wavelets and continuous wavelet transforms on both the complex and quaternionic Hilbert spaces. Comment: 15 pages |
| Databáze: | arXiv |
| Externí odkaz: |
|