Title: Lacunary Fourier Series—Old and new stories
Speaker: Tao Mei (Baylor University, USA)
Time: 20:30-21:30, October17
Location: Zoom, Zoom Meeting ID:916 1841 9254, Password: 123456
Abstract: The Lacunary Fourier Series is a well-studied subject with several interesting properties in the classical analysis. In this talk, I will first review these properties, especially the unconditionality of Lacunary series in the Lp spaces of the unit disc. I will then explain an open question on the unconditionality of length-lacunary Fourier series on free group C* algebras and discuss the related problems and results. Part of the talk is based on joint works with Chianyeong Chuah, Yazhou Han and Zhenchuan Liu.