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 of real codimension , with in , 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