Decomposition matrices for the special case of data on the triangular lattice of SU(3)

A method for the decomposition of data functions sampled on a finite fragment of triangular lattices is described for the lattice corresponding to the simple Lie group SU(3). The basic tile (fundamental region) of SU(3) is an equilateral triangle. The decomposition matrices refer to lattices that carry data of any density. This main result is summarized in Section 4 Theorem 2.