Refinable Subspaces of a Refinable Space
نویسندگان
چکیده
Local refinable finitely generated shift-invariant spaces play a significant role in many areas of approximation theory and geometric design. In this paper we present a new approach to the construction of such spaces. We begin with a refinable function ψ : R → Rm which is supported on [0, 1]. We are interested in spaces generated by a function φ : R → Rn built from the shifts of ψ.
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