摘要: 假设对任意的 n ≥ 1整数 P _n > 1且 D _n ={ 0,a _n,b _n} ⊂ℤ其中 a _n < b _n < p _n。该文主要研究由整数序列 {p _n} _n=1 ^∞和数字集序列{D _n} _n=1 ^∞生成的 Moran 测度 的无穷指数正交集的存在性，得到无穷卷积μ具有无穷指数正交集的充要条件，这为构造此函数空间的谱提供了很好的思路。

Abstract: For n ≥ 1, let P _n > 1 and D _n ={ 0,a _n,b _n} ⊂ℤ, where a _n < b _n < p _n. In this paper we study the existence of infinite orthogonal exponential sets of moran measures which is generated by the sequence of integers {p _n} _n=1 ^∞ and the sequence of number sets {D _n} _n=1 ^∞. We obtain the necessary and sufficient conditions for infinite convolution μ to have infinite orthogonal exponential sets, this provides a good idea for constructing the spectrum of this function space.