2 citations · 2 across the 6 of their papers we have counts for
6 papers
On the spectrality of the non-homogeneous golden-mean self-similar measure
Yi-Qiu Mao, Zhi-Yi Wu
We investigate the spectral properties of a class of inhomogeneous self-similar measures, which does not admit a non-trivial infinite convolution structure. A central example is th…
Almost everywhere convergence of mock Fourier series for the middle-fourth Cantor measure
Min-Wei Tang, Zhi-Yi Wu
In 1998, Jorgensen and Pedersen constructed the first example of a singular continuous spectral measure. Precisely, they proved that the self-similar measure generated by the itera…
Spectra of the Sierpiński type spectral measure and their Beurling dimensions
Jinjun Li, Zhiyi Wu
In this paper, we study the structure of the spectra for the Sierpiński type spectral measure on . We give a sufficient and necessary condition fo…
On the intermediate value property of spectra for a class of Moran spectral measures
Jinjun Li, Zhiyi Wu
We prove that the Beurling dimensions of the spectra for a class of Moran spectral measures are between and their upper entropy dimensions. Moreover, for such a Moran spectral…
Beurling densities of regular maximal orthogonal sets of self-similar spectral measure with consecutive digit sets
Yu-Liang Wu, Zhi-Yi Wu
Beurling density plays a key role in the study of frame-spectrality of normalized Lebesgue measure restricted to a set. Accordingly, in this paper, the authors study the -Beurli…
Spectral measures with arbitrary dimensions
Yu-Liang Wu, Zhi-Yi Wu
It is known [Dai and Sun, J. Funct. Anal. 268 (2015), 2464--2477] that there exist spectral measures with arbitrary Hausdorff dimensions, and it is natural to pose the question of…