PCF self-similar sets and fractal interpolation

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• 作者：Enrique de Amo ; Manuel D¨ªaz Carrillo ; Juan Fern¨¢ndez S¨¢nchez
• 关键词：28A78 ; 58E20
• 刊名：Mathematics and Computers in Simulation
• 出版年：2013
• 出版时间：June, 2013
• 年：2013
• 卷：92
• 期：Complete
• 页码：28-39
• 全文大小：1394 K

文摘

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 . We use harmonic functions to solve this fractal interpolation problem.