ABSTRACT
A new simplex spline space has recently been developed by Dahmen, Micchelli, and Seidel in [5]. The development of this space, which we refer to as DMS simplex spline space, has been based on the combination of simplex splines with polar forms, and thus the DMS space exhibits several symmetry proper ties that facilitate computation and have been helpful for the development of new results [13]. Up to now, these symmetry properties have generally been perceived as properties of the DMS space, not as properties of the individual basis functions.
