The author considers a space of Chebyshev splines, whose left and right derivatives satisfy linear constraints that are given by arbitrary non singular connection matrices. After some preliminaries he shows that for almost arbitrary knot positions such spline spaces have basis functions that are a partition of the unity and have local support equal to the support of the ordinary B-splines with the same knots. More precisely given the connection matrices, the feasible knot sequences leading to the “B-splines" form an open dense subset of the set of all possible knot sequences. Finally some results on the derivatives and weight points are presented. Such results are needed besides the control points to specify a spline projective space.
Reviewer: Catterina Dagnino (Torino)