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摘要
Let q >= 3 be a positive integer, and let D = {0,a,b} with gcd(a, b) = 1. For the self-similar measure mu(q,D) which is generated by the iterated function system {tau(d)(x) = x+d/q}d is an element of D, it is well known that if q is divisible by 3 and {a,b} equivalent to {1,2}(mod 3), mu(q,D) is a spectral measure with a spectrum @@@ Lambda(q, C)={Sigma(n)(j=0)q(j)a(j) : a(j)is an element of C = {0, q/3, 2q/3} and n is an element of N}. @@@ In this paper, we study some positive integers p such that p Lambda(q, C) is also a spectrum of mu(q,D).
