Fractal Continuation

Michael F. Barnsley; Andrew Vince

doi:10.1007/s00365-013-9205-3

Fractal Continuation

Michael F. Barnsley, Andrew Vince

Research output: Contribution to journal › Article › peer-review

13 Citations (Scopus)

Abstract

A fractal function is a function whose graph is the attractor of an iterated function system. This paper generalizes analytic continuation of an analytic function to continuation of a fractal function.

Original language	English
Pages (from-to)	311-337
Number of pages	27
Journal	Constructive Approximation
Volume	38
Issue number	2
DOIs	https://doi.org/10.1007/s00365-013-9205-3
Publication status	Published - Oct 2013

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title = "Fractal Continuation",

abstract = "A fractal function is a function whose graph is the attractor of an iterated function system. This paper generalizes analytic continuation of an analytic function to continuation of a fractal function.",

keywords = "Analytic continuation, Fractal function, Interpolation, Iterated function system",

author = "Barnsley, \{Michael F.\} and Andrew Vince",

year = "2013",

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pages = "311--337",

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AU - Vince, Andrew

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AB - A fractal function is a function whose graph is the attractor of an iterated function system. This paper generalizes analytic continuation of an analytic function to continuation of a fractal function.

KW - Analytic continuation

KW - Fractal function

KW - Interpolation

KW - Iterated function system

UR - https://www.scopus.com/pages/publications/84883813388

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DO - 10.1007/s00365-013-9205-3

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VL - 38

SP - 311

EP - 337

JO - Constructive Approximation

JF - Constructive Approximation

IS - 2

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Fractal Continuation

Abstract

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