Abstract. We show that the interplay between the planar Beltrami equation governing quasiconformal and quasiregular mappings and Calderón's conductivity equation in impedance tomography admits a counterpart in the setting of the first Heisenberg group equipped with its canonical sub-Riemannian structure.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.