In this paper, we establish the Cowling--Price's, Hardy's and Morgan's uncertainty principles for the Opdam-Cherednik transform on modulation spaces associated with this transform. The proofs of the theorems are based on the properties of the heat kernel associated with the Jacobi-Cherednik operator and the versions of the Phragm{e}n-Lindl{o}f type result for the modulation spaces.

中文翻译：

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调制空间上 Opdam-Cherednik 变换的不确定性原理

在本文中，我们为 Opdam-Cherednik 变换建立了 Cowling--Price、Hardy 和 Morgan 不确定性原理，用于与该变换相关的调制空间。定理的证明基于与 Jacobi-Cherednik 算子关联的热核的属性以及调制空间的 Phragm{e}n-Lindl{o}f 类型结果的版本。