English

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

Complex Variables 2007-05-23 v1

Abstract

We define a class of generic CR submanifolds of CnC^n of real codimension dd, with dd in 1,...,n11, ..., 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.

Keywords

Cite

@article{arxiv.math/0409120,
  title  = {Global approximation of CR functions on Bloom-Graham model graphs in $C^n$},
  author = {Albert Boggess and Daniel Jupiter},
  journal= {arXiv preprint arXiv:math/0409120},
  year   = {2007}
}

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8 pages