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Commutation for Irregular Subdivision

01 January 2001

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We present a generalization of Lemarie's commutation formula to irregular subdivision schemes and wavelets. We show how in the non-interpolating case the divided differences need to be adapted to the subdivision scheme. As an example, we include the construction of an entire family of biothogonal compactly supported irregular knot B-spline wavelets starting from Lagrangian interpolation.