Key points are not available for this paper at this time.
In this paper, we study the spectrality of a class of Moran measures , ₃ on R generated by \ (pₙ, Dₙ) \₍=₁^, where P=\pₙ\₍=₁^ is a sequence of positive integers with pₙ>1 and D=\D₍\₍=₁^ is a sequence of digit sets of N with the cardinality \#D₍ \2, 3, N₍\. We find a countable set such that the set \e^{-2 i x|\} is a orthonormal basis of L^2 (, ₃) under some conditions. As an application, we show that when , ₃ is absolutely continuous, , ₃ not only is a spectral measure, but also its support set tiles R with Z.
Zheng et al. (Mon,) studied this question.