Wenxia Li, Jun Jie Miao, Zhiqiang Wang
Published 2022-06-15Version 1
In this paper, we study spectral measures whose square integrable spaces admit a family of exponential functions as an orthonormal basis. First, we characterize the spectrality of infinite convolutions generated by a sequence of admissible pairs. Next, we show that given finitely many admissible pairs, almost all random convolutions are spectral measures. Moreover, we give a complete characterization of spectrality of random convolutions for some special cases.
Spectrality of Infinite Convolutions in $\mathbb{R}^d$
Weak Convergence and Spectrality of Infinite Convolutions
Spectrality of the product does not imply that the components are spectral
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