Analyticity of smooth CR mappings of generic submanifolds

Peter Ebenfelt; Linda P. Rothschild

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Analyticity of smooth CR mappings of generic submanifolds

Peter Ebenfelt·Linda P. Rothschild

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Abstract

We consider a smooth CR mapping $f$ from a real-analytic generic submanifold $M$ in $\bC^N$ into $\bC^N$. For $M$ of finite type and essentially finite at a point $p\in M$, and $f$ formally finite at $p$, we give a necessary and sufficient condition for $f$ to extend as a holomorphic mapping in some neighborhood of $p$. In a similar vein, we consider a formal holomorphic mapping $H$ and give a necessary and sufficient condition for $H$ to be convergent.

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BibTeX RIS

Peter Ebenfelt, Linda P. Rothschild. 2006-08-10. Analyticity of smooth CR mappings of generic submanifolds. https://arxiv.org/abs/math/0608272

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