The number of orthogonal exponentials on the L~2(μ_(M,D))-space
Yanan Wang · Basic Sciences Journal of Textile Universities · 2011
The self-affine measures is decided by{d(x)=M-1(x+d)}d∈ D.When M∈Mn(Z),M=[ad bc],D={(00),(10),(20),(11)},and ac-bd∈2Z,by discussing the properties of the zero points of the self-affine measure's fourier transform,the number of orthogonal exponentials in a special L2(μM,D) space is obtained.