Connections Between the Support and Linear Independence of Re nableDistributions
نویسندگان
چکیده
The purpose of this paper is to study the relationships between the support of a reenable distribution and the global and local linear independence of the integer translates of : It has been shown elsewhere that a compactly supported distribution has globally independent integer translates if and only if has minimal convex support. However, such a distribution may have \holes" in its support. By insisting that 2 L 2 (R) and generates a multiresolution analysis, Lemari e and Malgouyres have ensured that no such holes can occur. In this article we generalize this result to reenable distributions. We also prove the equivalence of the local linear independence and the global linear independence of the integer translates of :
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