We study the spectral property of a class of Sierpinski-type self-affine measures mu(M,D )(.) =1/3 Sigma(d is an element of D) mu(M, D) (M (.) - d) on R-2, where M = [GRAPHICS] . is a real upper triangular expanding matrix and D = {((0)(0)), (d1)((0)), ((d2)(d3))} is a three-element real digit set with d(1)d(3) not equal 0. A necessary and sufficient condition for mu(M,D) to be a spectral measure is establ...
