Construction of a class of trivariate nonseparable compactly supported wavelets with special dilation matrix. (English) Zbl 1285.42027
The authors take the ideas in [Y.-Z. Li, Proc. Am. Math. Soc. 133, No. 12, 3505–3513 (2005; Zbl 1078.42028)], rewriting this paper by just replacing the matrix \(\left(\begin{smallmatrix} 1&1\𝟙&-1 \end{smallmatrix}\right)\) with the matrix \(\left(\begin{smallmatrix} 1&0&-1\𝟙&1&0\𝟙&0&1 \end{smallmatrix}\right)\) and doing small trivial adaptations. Almost the whole paper [loc. cit.] is reproduced verbatim.
Reviewer: Daniela Roşca (Cluj-Napoca)
MSC:
| 42C40 | Nontrigonometric harmonic analysis involving wavelets and other special systems |
| 42C15 | General harmonic expansions, frames |
| 94A12 | Signal theory (characterization, reconstruction, filtering, etc.) |
