Abstract
We give a construction, for any n ≥ 2, of a space S of spline functions of degree n − 1 with simple knots in 1 Z which is generated by a triple of refinable, orthogonal functions with compact support. Indeed, the result holds more generally by replacing the B-spline of degree n − 1 with simple knots at the integers by any continuous refinable function whose mask is a Hurwitz polynomial of degree n .A simple construction is also given for the corresponding wavelets.
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