Pointwise convergence of noncommutative Fourier series

G Hong, S Wang, X Wang - arXiv preprint arXiv:1908.00240, 2019 - arxiv.org
This paper is devoted to the study of pointwise convergence of Fourier series for group von
Neumann algebras and quantum groups. It is well-known that a number of approximation
properties of groups can be interpreted as summation methods and mean convergence of
the associated noncommutative Fourier series. Based on this framework, this paper studies
the refined counterpart of pointwise convergence of these Fourier series. As a key
ingredient, we develop a noncommutative bootstrap method and establish a general …

Pointwise convergence of noncommutative Fourier series

G Hong, S Wang, X Wang - 2024 - ams.org
This paper is devoted to the study of pointwise convergence of Fourier series for group von
Neumann algebras and quantum groups. It is well-known that a number of approximation
properties of groups can be interpreted as summation methods and mean convergence of
the associated noncommutative Fourier series. Based on this framework, this paper studies
the refined counterpart of pointwise convergence of these Fourier series. As a key
ingredient, we develop a noncommutative bootstrap method and establish a general …
以上显示的是最相近的搜索结果。 查看全部搜索结果