Inner products of box splines and their derivatives
A simple and explicit expression is given for the inner product of (higher order) derivatives of multivariate box splines and their translates. We also show that the energy inner product related to a linear partial differential equation discretized with a set of shifted box splines can be interpreted as an evaluation of the differential operator applied to a higher order box spline.
inner products box splines derivatives multivariate b-splines integration 41a15 41a63 65d07 65d30