"An Effective Carathéodory Theorem" by Timothy H. McNicholl

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Article

An Effective Carathéodory Theorem

Theory of Computing Systems (2012)

Timothy H. McNicholl, Lamar University

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Abstract

By means of the property of effective local connectivity, the computability of finding the Carathéodory extension of a conformal map of a Jordan domain onto the unit disk is demonstrated.

Keywords

Computable analysis,
Constructive analysis,
Complex analysis,
Conformal mapping,
Effective local connectivity

Disciplines

Mathematics,
Geometry and Topology and
Logic and Foundations

Publication Date

2012

DOI

10.1007/s00224-011-9356-1

Publisher Statement

The final publication is available at Springer via http://dx.doi.org/10.1007/s00224-011-9356-1.

Citation Information

Timothy H. McNicholl. "An Effective Carathéodory Theorem" Theory of Computing Systems Vol. 50 Iss. 4 (2012) p. 579 - 588
Available at: http://works.bepress.com/timothy-mcnicholl/4/