It is usually difficult to study the structure of the spectra for the measures in and higher dimensions. In this paper, by employing the projective techniques and our previous results on the line we prove that the Beurling dimension of spectra for a class of random convolutions in satisfies an intermediate value property.

中文翻译：

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[公式省略]上一类随机卷积的光谱伯林维数


研究维度和更高维度的光谱结构通常很困难。在本文中，通过采用投影技术和我们之前的结果，我们证明了一类随机卷积的谱的 Beurling 维数满足中间值属性。