PCF self-similar sets and fractal interpolation

The aim of this paper is to show, using some of Barnsley's ideas, how it is possible to generalize a fractal interpolation problem to certain post critically finite (PCF) compact sets in ℝn. We use harmonic functions to solve this fractal interpolation problem.

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Year of publication:	2013
Authors:	Amo, Enrique de ; Díaz Carrillo, Manuel ; Fernández Sánchez, Juan
Published in:	Mathematics and Computers in Simulation (MATCOM). - Elsevier, ISSN 0378-4754. - Vol. 92.2013, C, p. 28-39
Publisher:	Elsevier
Subject:	Post critically finite set \| Self-similar structure \| Iterated function system \| Harmonic function on a fractal

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011050290