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

@article{5d5d68a9ff4045c8a48626eddd376a5b,

title = "Global approximation of CR functions on bloom-graham model graphs in ℂ n ",

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.",

keywords = "Bloom-Graham model graphs, CR approximation",

author = "Albert Boggess and Daniel Jupiter",

year = "2006",

month = mar,

doi = "10.1090/S0002-9939-05-08227-4",

language = "English (US)",

volume = "134",

pages = "723--730",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

number = "3",

}

TY - JOUR

T1 - Global approximation of CR functions on bloom-graham model graphs in ℂ n

AU - Boggess, Albert

AU - Jupiter, Daniel

PY - 2006/3

Y1 - 2006/3

N2 - 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.

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.

KW - Bloom-Graham model graphs

KW - CR approximation

UR - http://www.scopus.com/inward/record.url?scp=33644780610&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33644780610&partnerID=8YFLogxK

U2 - 10.1090/S0002-9939-05-08227-4

DO - 10.1090/S0002-9939-05-08227-4

M3 - Article

AN - SCOPUS:33644780610

SN - 0002-9939

VL - 134

SP - 723

EP - 730

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 3

ER -