13 citations · 25 across the 3 of their papers we have counts for
3 papers
math.OA2019★ 13 cited
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★ 4 cited
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★ 8 cited
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…