7 citations · 26 across the 10 of their papers we have counts for
10 papers
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…
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.…
On CR singular CR images
Jiří Lebl, Alan Noell, Sivaguru Ravisankar
We say that a CR singular submanifold has a removable CR singularity if the CR structure at the CR points of extends through the singularity as an abstract CR structure on…
A CR singular analogue of Severi's theorem
Jiri Lebl, Alan Noell, Sivaguru Ravisankar
Real-analytic CR functions on real-analytic CR singular submanifolds are not in general restrictions of holomorphic functions, unlike in the CR nonsingular case. We give a simple c…
Peak sets and boundary interpolation sets for the unit disc: a survey
Alan Noell
This paper surveys results concerning peak sets and boundary interpolation sets for the unit disc. It includes hitherto unpublished results proved by David C. Ullrich on peak sets…
On the Levi-flat Plateau problem
Jiri Lebl, Alan Noell, Sivaguru Ravisankar
We solve the Levi-flat Plateau problem in the following case. Let , , be a connected compact real-analytic codimension-two submanifold with o…