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Let Dn={0,an,bn}={0,1,2}(mod3),pn∈3Z+, n≥1, satisfy supn≥1max{|an|,|bn|}pn<∞. It is well-known that there exists a unique Borel probability measure μ{pn},{Dn} generated by the following infinite convolution productμ{pn},{Dn}=δp1−1D1⁎δ(p1p2)−1D2⁎⋯ in the weak convergence. In this paper, we give some conditions to ensure that there exists a discrete set Λ such that the exponential function system...
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