21 citations · 36 across the 8 of their papers we have counts for
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math.CA2005
Refinable shift invariant spaces in R^d
Carlos Cabrelli, Sigrid Heineken, Ursula Molter
Let $ϕ: \R^d \longrightarrow \C$ be a compactly supported function which satisfies a refinement equation of the form $ϕ(x) = \sum_{k\inΛ} c_k ϕ(Ax - k),\quad c_k\in\C$, where $Γ\su…
math.CA2005★ 1 cited
Local bases for refinable spaces
Carlos Cabrelli, Sigrid Heineken, Ursula Molter
We provide a new representation of a refinable shift invariant space with a compactly supported generator, in terms of functions with a special property of homogeneity. In particul…