CR approximation on a nonrigid hypersurface graph in Cn

Al Boggess; Roman Dwilewicz

doi:10.2140/pjm.2004.216.201

CR approximation on a nonrigid hypersurface graph in Cⁿ

Al Boggess, Roman Dwilewicz

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

3 Scopus citations

Abstract

Let M be a hypersurface in Cⁿ that is the graph over a (2n - 1)-linear real space. The main result of the paper is that any CR function on M can be uniformly approximated on compact subsets by entire functions on C ⁿ.

Original language	English (US)
Pages (from-to)	201-216
Number of pages	16
Journal	Pacific Journal of Mathematics
Volume	216
Issue number	2
DOIs	https://doi.org/10.2140/pjm.2004.216.201
State	Published - Oct 2004
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

Access to Document

10.2140/pjm.2004.216.201

Cite this

@article{cd5b170aa4ee4b2a9272455f4a005bc5,

title = "CR approximation on a nonrigid hypersurface graph in Cn",

abstract = "Let M be a hypersurface in Cn that is the graph over a (2n - 1)-linear real space. The main result of the paper is that any CR function on M can be uniformly approximated on compact subsets by entire functions on C n.",

author = "Al Boggess and Roman Dwilewicz",

year = "2004",

month = oct,

doi = "10.2140/pjm.2004.216.201",

language = "English (US)",

volume = "216",

pages = "201--216",

journal = "Pacific Journal of Mathematics",

issn = "0030-8730",

publisher = "University of California, Berkeley",

number = "2",

}

TY - JOUR

T1 - CR approximation on a nonrigid hypersurface graph in Cn

AU - Boggess, Al

AU - Dwilewicz, Roman

PY - 2004/10

Y1 - 2004/10

N2 - Let M be a hypersurface in Cn that is the graph over a (2n - 1)-linear real space. The main result of the paper is that any CR function on M can be uniformly approximated on compact subsets by entire functions on C n.

AB - Let M be a hypersurface in Cn that is the graph over a (2n - 1)-linear real space. The main result of the paper is that any CR function on M can be uniformly approximated on compact subsets by entire functions on C n.

UR - http://www.scopus.com/inward/record.url?scp=8744280616&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=8744280616&partnerID=8YFLogxK

U2 - 10.2140/pjm.2004.216.201

DO - 10.2140/pjm.2004.216.201

M3 - Article

AN - SCOPUS:8744280616

SN - 0030-8730

VL - 216

SP - 201

EP - 216

JO - Pacific Journal of Mathematics

JF - Pacific Journal of Mathematics

IS - 2

ER -

CR approximation on a nonrigid hypersurface graph in Cⁿ

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this