加权调制空间上加窗Opdam-Cherednik变换的定性测不准原理
Qualitative uncertainty principles for the windowed Opdam--Cherednik transform on weighted modulation spaces
摘要：
本文的目的是建立一些定性的不确定性原则，窗口的Opdam-Cherednik变换加权调制空间与此变换。特别地，我们得到了Cowling-Price的，Hardy的和Morgan的不确定性原则，这种变换的加权调制空间。结果的证明是基于加权调制空间上多复变数的Phragm{é}n-Lindl{<$}f型结果的版本和与Jacobi-Cherednik算子相关的高斯核的性质。
英文摘要：
The aim of this paper is to establish a few qualitative uncertainty principles for the windowed Opdam-Cherednik transform on weighted modulation spaces associated with this transform. In particular, we obtain the Cowling-Price's, Hardy's and Morgan's uncertainty principles for this transform on weighted modulation spaces. The proofs of the results are based on versions of the Phragm{é}n-Lindl{ö}f type result for several complex variables on weighted modulation spaces and the properties of the Gaussian kernel associated with the Jacobi-Cherednik operator.
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