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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

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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

References