Construction of B-splines for generalized spline spaces generated from local ECT-systems

Certain spaces of generalized splines are considered which are constructed by pasting together smoothly linear combinations of local ECT-systems. For them a basis of splines having minimal compact supports is constructed. These functions that are called B-splines are obtained by solving certain interpolation problems. They can be normalized either to form a partition of unity or to have integral over the real line equal to one each.