Abstract:In this paper, we outline a method for constructing nonnegative scaling vectors on the interval. Scaling vectors for the interval have been constructed in [1][2][3]. The approach here is different in that the we start with an existing scaling vector Φ that generates a multi-resolution analysis for L 2 (R) to create a scaling vector for the interval. If desired, the scaling vector can be constructed so that its components are nonnegative. Our construction uses ideas from [4,5] and we give results for scaling ve… Show more
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