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

Albert Boggess, Daniel Jupiter

Research output: Contribution to journalArticle

1 Citation (Scopus)

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 languageEnglish (US)
Pages (from-to)723-730
Number of pages8
JournalProceedings of the American Mathematical Society
Volume134
Issue number3
DOIs
StatePublished - Mar 2006
Externally publishedYes

Fingerprint

CR Functions
Graph Model
CR-submanifold
Polynomial Growth
Approximation Theorem
Approximation
Codimension
Polynomials
Class

Keywords

  • Bloom-Graham model graphs
  • CR approximation

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

Global approximation of CR functions on bloom-graham model graphs in ℂ n . / Boggess, Albert; Jupiter, Daniel.

In: Proceedings of the American Mathematical Society, Vol. 134, No. 3, 03.2006, p. 723-730.

Research output: Contribution to journalArticle

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