3 papers
math.OA2019
Laplace-Beltrami Operators on Noncommutative Tori
Hyunsu Ha, Raphael Ponge
In this paper, we construct Laplace-Beltrami operators associated with arbitrary Riemannian metrics on noncommutative tori of any dimension. These operators enjoy the main properti…
math.OA2018
Pseudodifferential calculus on noncommutative tori, II. Main properties
Hyunsu Ha, Gihyun Lee, Raphael Ponge
This paper is the 2nd part of a two-paper series whose aim is to give a detailed description of Connes' pseudodifferential calculus on noncommutative -tori, . We make u…
math.OA2018
Pseudodifferential calculus on noncommutative tori, I. Oscillating integrals
Hyunsu Ha, Gihyun Lee, Raphael Ponge
This paper is the first part of a two-paper series whose aim is to give a thorough account on Connes' pseudodifferential calculus on noncommutative tori. This pseudodifferential ca…