Global approximation of CR functions on Bloom-Graham model graphs in $C^n$

Details Global approximation of CR functions on Bloom-Graham model graphs in $C^n$ Global approximation of CR functions on Bloom-Graham model graphs in $C^n$

2004-09-08

arxiv.org/abs/math/0409120v1

Mathematics

Complex Variables

8 pages

Scientific paper

We define a class of generic CR submanifolds of $C^n$ of real codimension $d$, with $d$ in $1, ..., n-1$, called the Bloom-Graham model graphs, whose graphing functions are partially decoupled in their dependence on the variables in the real directions. We prove a global version of the Baouendi-Treves CR approximation theorem, for Bloom-Graham model graphs with a polynomial growth assumption on their graphing functions.

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