Clifford wavelets and Clifford-valued MRAs. (English) Zbl 1301.42050
Summary: By using the Clifford algebra over \(\mathbb R^4\) and its matrix representation, we construct Clifford scaling functions and Clifford wavelets. Then we compute related mask functions and filters, which arise in many applications such as quantum mechanics.
MSC:
| 42C15 | General harmonic expansions, frames |
| 46E15 | Banach spaces of continuous, differentiable or analytic functions |
| 42C40 | Nontrigonometric harmonic analysis involving wavelets and other special systems |
| 42B99 | Harmonic analysis in several variables |
| 42C05 | Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis |
