Global approximation of CR functions on bloom-graham model graphs in ℂ n

Albert Boggess; Daniel Jupiter

doi:10.1090/S0002-9939-05-08227-4

Global approximation of CR functions on bloom-graham model graphs in ℂ ⁿ

Albert Boggess, Daniel Jupiter

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We define a class of generic CR submanifolds of ℂ ⁿ of real codimension d, 1 ≤ d ≤ n, 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.

Original language	English (US)
Pages (from-to)	723-730
Number of pages	8
Journal	Proceedings of the American Mathematical Society
Volume	134
Issue number	3
DOIs	https://doi.org/10.1090/S0002-9939-05-08227-4
State	Published - Mar 2006
Externally published	Yes

Keywords

Bloom-Graham model graphs
CR approximation

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

Access to Document

10.1090/S0002-9939-05-08227-4

Cite this

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abstract = "We define a class of generic CR submanifolds of ℂ n of real codimension d, 1 ≤ d ≤ n, 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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AB - We define a class of generic CR submanifolds of ℂ n of real codimension d, 1 ≤ d ≤ n, 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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KW - CR approximation

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