Abstract
This paper consists of two parts. In the first part, a short new proof of Marsden's identity is given. It is shown that this identity is equivalent to the blossoming theorem, to a formula for rational linear transformation of B-splines (and later, to the B-spline recurrence relations). In the second part, we develop the basic univariate spline theory entirely from Marsden's identity (or rather, a preliminary form of it), without resorting to the divided difference machinery.
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