COMPRESSION

Abstract. Recently we developed multiscale spaces of piecewise quadratic polynomials on the Powell Sabin 6-split of a triangulation relative to arbitrary polygonal domains . These multiscale bases are weakly stable with respect to the norm. In this paper we prove that these multiscale spaces form a multiresolution analysis for the Banach space and we show that the multiscale basis forms a strongly stable Riesz basis for the Sobolev spaces wit