Abstract
We prove that CR functions defined in a wedge inside a CR manifold extend to be CR (or holomorphic) in the directions given by the higher order generalization of the Levi form taken at complex tangent vectors satisfying the so-called rays condition. This generalizes extension results by Boggess-Polking [7], Baouendi-Treves [3], Fornaess-Rea [10] and the second and the third authors [18] and puts them into a unified frame.
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Baracco, L., Zaitsev, D. & Zampieri, G. Rays condition and extension of CR functions from manifolds of higher type. J Anal Math 101, 95–121 (2007). https://doi.org/10.1007/s11854-007-0004-2
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DOI: https://doi.org/10.1007/s11854-007-0004-2