Sierpinski-Moran measuresSpectral measureSpectrumFourier transformwhere \\({\\mathcal {D}}_n=\\{(0,0)^t,(a_n,0)^t,(0,b_n)^t\\}\\subset {\\mathbb {Z}}^{2}\\) and \\(\\;M_n=ext {diag}(s_n,t_n)\\in M_2(\\mathbb Z)\
More specifically, we will study the Moran measures, which is a non-self-similar extension of the Cantor measure (as well as the Bernoulli convolution) through the infinite convolution. For any finite set, denote δE=1#E∑a∈Eδa, where #E is the cardinality of the set E and δa is...
Sierpinski-Moran measuresSpectral measureSpectrumFourier transformIn this paper, we study the spectrality of Sierpinski-Moran measure defined as an infinite convolution measureWang, Zhi-YongHunan First Normal UnivDong, Xin-HanHunan Normal UnivMonatshefte fur Mathematik...