2 papers
math.CV2025
Cartan uniqueness theorem on nonopen sets
Jiri Lebl, Alan Noell, Sivaguru Ravisankar
Cartan's uniqueness theorem does not hold in general for CR mappings, but it does hold under certain conditions guaranteeing extendibility of CR functions to a fixed neighborhood.…
math.CV2024
CR functions at CR singularities: approximation, extension, and hulls
Jiri Lebl, Alan Noell, Sivaguru Ravisankar
We study three possible definitions of the notion of CR functions at CR singular points, their extension to a fixed-neighborhood of the singular point, and analogues of the Baouend…