Noncommutative pseudo-differential operators

Speaker: 

Xiao Xiong

Affiliation: 

Institute for Advanced Study in Mathematics, Institute of Technology, Harbin

Date: 

Thu, 11/10/2018 - 12:00pm

Venue: 

RC-4082, The Red Centre, UNSW

Abstract: 

We will introduce our recent work on pseudo-differential operators in noncommutative setting. We focus on two main topics: symbolic calculus and regularities on function spaces. We describe the composition of two pseudo-differential operators, and get the regularities on various function spaces: Sobolev, Besov, Hardy, Triebel-Lizorkin. We will also mention the overlap between our work and those done by Ponge, Junge, Parcet, etc.

School Seminar Series: