Some Properties of Five-coefficient Refinement Equation
نویسندگان
چکیده
In this paper global linear independence, local linear independence and HH older continuity of the solution of the ve-coeecient reenement equation (x) = 4 X k=0 c k (3x ? k); ^ (0) = 1; are considered. Especially we construct HH older continuous solution of the above reene-ment equation which is globally linearly independent but locally linearly dependent. Also multiresolution and explicite construction of compactly supported wavelets are considered.
منابع مشابه
On Refinable Sets
A refinable set is a compact set with positive Lebesgue measure whose characteristic function satisfies a refinement equation. Refinable sets are a generalization of self-affine tiles. But unlike the latter, the refinement equations defining refinable sets may have negative coefficients, and a refinable set may not tile. In this paper, we establish some fundamental properties of these sets.
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