对于由M=pIN(|p|＞1,p∈Z),D={0,l1 e1+l2 e2+…+lN eN}(∈)ZN (l21+22+…+l2N≠0,lj∈Z,j=1,2,…,N)决定的自仿测度μM,D,支撑在吸引子T(M,D)上.证明当p为奇数时,L2(μM,D)空间中的正交指数函数系最多有2个元素,而且2是最好的估计;当p为偶数时,L2(μM,D)空间中存在含有无限个元素的正交指数函数系.%The self-affine measure μM,D corresponding to M=pIN 1,P∈Z ) , D={0.l1e1+/2e2 +rn???+lNeN}∈ZN (l21+22+…+l2N≠0,lj∈Z,j=1,2,…,N) is supported on the attractor T(M,D).Itrnwas showed that there exist at most 2 mutually orthogonal exponential functions in L2(μM,D) when p isrnodd (there exist infinite mutually orthogonal exponential functions in L2(μM,D) when p is even.
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