Global Approximation of Cr Functions on Bloom-graham Model Graphs in C

نویسنده

  • ALBERT BOGGESS
چکیده

We define a class of generic CR submanifolds of Cn of real codimension d, 1 ≤ d ≤ n, called the Bloom-Grahammodel 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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تاریخ انتشار 2005