2 papers
math.OA2026
Functional Calculus on Noncommutative Tori, II. Complex Powers, Logarithms, and Sectorial Projections
Gihyun Lee, Raphael Ponge
This paper develops a systematic theory of complex powers, logarithms, and sectorial projections of elliptic pseudodifferential operators on noncommutative tori, extending to this…
math.OA2026
Noncommutative Geometry, Spectral Asymptotics, and Semiclassical Analysis
Raphael Ponge
Semiclassical analysis and noncommutative geometry are two pillars of quantum theory. It is only recently that bridges between them have been emerging. In this monograph, we combin…