The role of Fourier modes in extension theorems of Hartogs-Chirka type

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We generalize Chirka's theorem on the extension of functions holomorphic in a neighbourhood of graph(F)\cup(\partial D\times D) -- where D is the open unit disc and graph(F) denotes the graph of a continuous D-valued function F -- to the bidisc. We extend holomorphic functions by applying the Kontinuitaetssatz to certain continuous families of analytic annuli, which is a procedure suited to configurations not covered by Chirka's theorem.
17 pages

Keywords

Complex Variables, 32D15

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/96432

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0405077
 http://arxiv.org/abs/math/0405077
 Math. Z. 249 (2005), 883-901
 doi:10.1007/s00209-04-0742-0

Collections

arXiv