2 papers
math.OA2026
Weyl's laws and Connes' Trace Theorem for operator-valued pseudo-differential operators
Edward McDonald, Xiao Xiong, Xinyu Zhang
We investigate the spectral asymptotic behavior of operator-valued classical pseudo-differential operators (DOs) for negative order with symbols taking values in a semifinite v…
math.OA2025
Twisted Fourier(-Stieltjes) spaces and amenability
Hun Hee Lee, Xiao Xiong
The Fourier(-Stieltjes) algebras on locally compact groups are important commutative Banach algebras in abstract harmonic analysis. In this paper we introduce a generalization of t…