Year: 1998
Type: article
Abstract: We consider solutions of a system of refinement equations written in the form ϕ = ∑ α ∈ Z a ( α ) ϕ ( 2 ⋅ − α ) , \begin{equation*}\phi = \sum _{\alpha \in \mathbb {Z}} a(\alpha )\phi (2\cdot -\alpha ),\end{equation*} where the vector of functions ϕ = ( ϕ 1 , … , ϕ r ) T \phi =(\phi ^{1},\ldots ,\phi ^{r})^{T} is in ( L p ( R ) ) r (L_{p}(\mathbb {R}))^{r} and a a is a finitely supported sequence of r × r r\times r matrices called the refinement mask. Associated with the mask a a is a linear operator Q a Q_{a} defined on ( L
Source: Mathematics of Computation
Institutions: University of Alberta, City University of Hong Kong
Language: Latvian
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W1979032637