论文标题
傅里叶理论不平等，包括简单的C*-代数
Fourier theoretic inequalities for inclusion of simple C*-algebras
论文作者
论文摘要
本文源于建立各种非交通性傅立叶理论不平等现象的幼稚尝试，以包括配备有条件期望的索引 - 限制类型的简单C* - 代数。在这种情况下，我们讨论了Hausdorff-Young的不平等和Young的不平等。结果，我们证明了Hirschman-Beckner的不确定性原则和Donoho-Stard的不确定性原则。我们的结果概括了江，刘和吴的一些结果[非交通不确定性原理，J。函数。肛门，270（1）：264--311，2016]。
This paper originates from a naive attempt to establish various non-commutative Fourier theoretic inequalities for an inclusion of simple C*-algebras equipped with a conditional expectation of index-finite type. In this setting, we discuss the Hausdorff-Young inequality and Young's inequality. As a consequence, we prove the Hirschman-Beckner uncertainty principle and Donoho-Stark uncertainty principle. Our results generalize some of the results of Jiang, Liu and Wu [Noncommutative uncertainty principle, J. Funct. Anal., 270(1): 264--311, 2016].
