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math.CA2026
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…
math.CA2026
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…