Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

The Refined Metric Dimension with Applications

The Refined Metric Dimension with Applications We introduce a new metric characteristic of dimensional type for non-rectifiable curves in the complex plane and use it to solve the so-called jump problem, i.e. the boundary value problem for determination of a holo-morphic function with a given jump on a given curve. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Computational Methods and Function Theory Springer Journals

The Refined Metric Dimension with Applications

Loading next page...
 
/lp/springer-journals/the-refined-metric-dimension-with-applications-00IWki01Ox

References (14)

Publisher
Springer Journals
Copyright
Copyright © Heldermann  Verlag 2007
ISSN
1617-9447
eISSN
2195-3724
DOI
10.1007/bf03321632
Publisher site
See Article on Publisher Site

Abstract

We introduce a new metric characteristic of dimensional type for non-rectifiable curves in the complex plane and use it to solve the so-called jump problem, i.e. the boundary value problem for determination of a holo-morphic function with a given jump on a given curve.

Journal

Computational Methods and Function TheorySpringer Journals

Published: Apr 1, 2007

Keywords: Jump problem; non-rectifiable curve; metric dimension; 30E25

There are no references for this article.