论文标题
傅里叶丁克变换i：锥体表面的限制定理
Restriction theorem for the Fourier-Dunkl transform I: Cone surface
论文作者
论文摘要
在本文中，我们定义了傅立叶丁克变换，该变换概括了傅立叶变换。我们证明了Strichartz对圆锥型hyper-surface的傅立叶 - 丁克变换的限制定理及其对正统函数家族的概括。作为该限制定理的应用，我们得出了与dunkl laplacian的平方根相关的Strichartz不等式，用于正交功能的家族。
In this article, we define the Fourier-Dunkl transform, which generalizes the Fourier transform. We prove Strichartz's restriction theorem for the Fourier-Dunkl transform for a cone-hyper-surface and its generalisation to the family of orthonormal functions. As an application of this restriction theorem, we derive the Strichartz inequality associated with the square root of Dunkl Laplacian for the family of orthonormal functions.
