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A holomorphic extension theorem from a fractal hypersurface in ℂ2

A holomorphic extension theorem from a fractal hypersurface in ℂ2 We consider the problem of identifying boundary values of holomorphic functions on bounded domains in ℂ2. We use the quaternionic analysis techniques to extending the CR structure to a pure function theoretical nature. The advantage of our procedure lies in the fact that it also runs for domains with fractal boundary. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the Brazilian Mathematical Society, New Series Springer Journals

A holomorphic extension theorem from a fractal hypersurface in ℂ2

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Publisher
Springer Journals
Copyright
Copyright © 2007 by Springer-Verlag Berlin Heidelberg
Subject
Mathematics; Mathematics, general; Mathematical and Computational Physics
ISSN
1678-7544
eISSN
1678-7714
DOI
10.1007/s00574-007-0066-x
Publisher site
See Article on Publisher Site

Abstract

We consider the problem of identifying boundary values of holomorphic functions on bounded domains in ℂ2. We use the quaternionic analysis techniques to extending the CR structure to a pure function theoretical nature. The advantage of our procedure lies in the fact that it also runs for domains with fractal boundary.

Journal

Bulletin of the Brazilian Mathematical Society, New Series – Springer Journals

Published: Jan 1, 2007

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