Abstract

In this paper we give general conditions that guarantee the analyticity of C∞-smooth CR-mappings between real-analytic CR-submanifolds M ⊂ C and M ′ ⊂ C ′ (see Theorem 1.1). The proof of the analyticity is based on results on holomorphic and meromorphic extension of functions on wedge-like domains to boundary points (see Theorems 2.4 and 2.6) that may be of independent interest. The analyticity problem for CR-mappings f : M → M ′ between real-analytic CR-submanifolds goes back to the work of Lewy [Le56, Le77] and Pinchuk [Pi75], where the analyticity of a CR-diffeomorphism f was shown for M, M ′ ⊂

Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call