Uncertainty principle for vector-valued functions

The uncertainty principle for vector-valued functions of $ L^2({\mathbb{R}}^n, {\mathbb{R}}^m) $ with $ n\ge 2 $ are studied. We provide a stronger uncertainty principle than the existing one in literature when $ m\ge 2 $. The phase and the amplitude derivatives in the sense of the Fourier transform...

Full description

Bibliographic Details
Main Authors: Feifei Qu, Xin Wei, Juan Chen
Format: Article
Language:English
Published: AIMS Press 2024-04-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2024611?viewType=HTML