8 citations · 17 across the 5 of their papers we have counts for
6 papers
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…
A Calculus for Magnetic Pseudodifferential Super Operators
Gihyun Lee, Max Lein
This work develops a magnetic pseudodifferential calculus for super operators OpA(F); these map operators onto operators (as opposed to Lp functions onto Lq functions). Here, F cou…
Investigation of Flash Crash via Topological Data Analysis
Wonse Kim, Younng-Jin Kim, Gihyun Lee +1
Topological data analysis has been acknowledged as one of the most successful mathematical data analytic methodologies in various fields including medicine, genetics, and image ana…
Functional Calculus for Elliptic Operators on Noncommutative Tori, I
Gihyun Lee, Raphael Ponge
In this paper, we introduce a parametric pseudodifferential calculus on noncommutative -tori which is a natural nest for resolvents of elliptic pseudodifferential operators. Unl…
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…
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…