Ingham-type results are the characterization of the existence of nonzero functions defined on the real line vanishing on a nonempty open set in terms of the decay of their Fourier transforms. In this paper, we prove analogous results for the Dunkl Fourier transforms.

中文翻译：

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Dunkl Fourier 变换的 Ingham 型定理

Ingham 类型的结果是根据傅里叶变换的衰减来表征在非空开集上消失的实线上定义的非零函数的存在性。在本文中，我们证明了 Dunkl Fourier 变换的类似结果。