This paper established a multiresolution analysis of two-dimension seperable differential operator spline with non-polynomial type in the reproducing space H1 (R)H1 (R) )realized the expansion of function according to the system of Dyadic extension andtranslation, and its coefficients of expansion was demonstrated by the value of functionaccurately. Moreover, this paper provided reasonable approach and efficient methodfor extending the theory of two-dimension operator spline with non-polynomial type.
