Abstract :
In this paper we consider the H¨older continuity, local linearity, linear independence,
and interpolation problem of the M-band scaling function, with a filter
having vanishing moments two and minimal length. In particular, we find some new
properties that are not true when Ms2, such as local linearity, local linear
dependence, differentiability at adjoint M-adic points, and interpolation problem
at integer knots.
