@article{Qu2024, 
author = {Feifei Qu and Xin Wei and Juan Chen},
title = {Uncertainty principle for vector-valued functions},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {5},
pages = {12494-12510},
keywords = {uncertainty principle, vector-valued functions, Fourier derivative},
url = {https://www.sciopen.com/article/10.3934/math.2024611},
doi = {10.3934/math.2024611},
abstract = {The uncertainty principle for vector-valued functions of        L    2    (                    R              n    ,                    R              m    ) with    n  ≥  2 are studied. We provide a stronger uncertainty principle than the existing one in literature when    m  ≥  2. The phase and the amplitude derivatives in the sense of the Fourier transform are considered when    m  =  1. Based on these definitions, a generalized uncertainty principle is given.}
}