Hartogs Extension For Generalized Tubes in CN

Author

Al Boggess
Roman Dwilewicz, Missouri University of Science and TechnologyFollow
Zbigniew Slodkowski

Editor(s)

Aron, Richard M. and Chen, Goong and Krantz, Steven G.

Abstract

In 1906, Hartogs proved his famous holomorphic extension theorem for bounded domains in Cn, however, not many results of this type exist for unbounded ones. One of such, already a classical result, is the Bochner tube theorem from 1938, and in this paper we consider its generalization to “widening tubes”. Namely, we establish a sufficient condition for holomorphic extension of CR functions from the boundary of a certain class of domains in Cn, n≥2, which possess a growth condition at infinity.

Recommended Citation

A. Boggess et al., "Hartogs Extension For Generalized Tubes in CN," Journal of Mathematical Analysis and Applications, Elsevier, Jan 2013.

The definitive version is available at https://doi.org/10.1016/j.jmaa.2013.01.049

Department(s)

Mathematics and Statistics

Keywords and Phrases

Hartogs-type Extension; CR Functions; Holomorphic Functions

International Standard Serial Number (ISSN)

0022-247X

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2013 Elsevier, All rights reserved.

Publication Date

01 Jan 2013