PCF self-similar sets and fractal interpolation

Enrique de Amo, Manuel Díaz Carrillo and Juan Fernández Sánchez

Mathematics and Computers in Simulation (MATCOM), 2013, vol. 92, issue C, 28-39

Abstract: 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.

Keywords: Post critically finite set; Self-similar structure; Iterated function system; Harmonic function on a fractal (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:92:y:2013:i:c:p:28-39

DOI: 10.1016/j.matcom.2013.04.017

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