Abstract
It is shown that any formal holomorphic mapping sending a real-analytic generic submanifold Msubset mathbb {C}^N of finite type into a real-analytic strongly pseudoconvex CR submanifold M'subset mathbb {C}^{N'} is necessarily convergent. As a consequence, we obtain a positive answer to the long-standing open question of whether formal holomorphic maps sending real-analytic strongly pseudoconvex hypersurfaces into each other are convergent.
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