Spline Curves and Surfaces with Tension A. Bouhamidi and A. Le M ehaute

For any positive integer t £ IN, let D t m(H a) be the space of distributions whose fc-th derivatives, with m < k < m + 1, are in f f a(]Rd), namely

D Jm{H a) = { » e : Va 6 INd, m < \a\ < m + £, D av € # s(]R,i) } .

In this space, we consider the semi-inner product defined by