Rado's theorem for CR functions on hypersurfaces (Q6611181)

The paper extends the classical theorem of Rado to continuous CR functions on a broader class of biholomorphically invariant hypersurfaces, including weakly lineally convex hypersurfaces of finite type. Unlike previous works that employed advanced tools like those in [\textit{E. M. Chirka}, Russ. Acad. Sci., Sb., Math. 82, No. 1, 243--259 (1994); translation from Mat. Sb. 185, No. 5, 125--144 (1994; Zbl 0848.32011)], this work uses methods inspired by \textit{J. P. Rosay} and \textit{E. L. Stout} [Proc. Am. Math. Soc. 106, No. 4, 1017--1026 (1989; Zbl 0674.32007)]. The results include a proof of the Rado property for this larger class of hypersurfaces and an application to removable singularities and connectedness properties of CR functions.