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Full-Text: http://hdl.handle.net/1885/73868
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Preprint . 2012
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Constructive Approximation
Article . 2013 . Peer-reviewed
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https://dx.doi.org/10.48550/ar...
Article . 2012
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Fractal Continuation

Fractal continuation
descriptionPublicationkeyboard_double_arrow_right Article , Preprint 29 Aug 2013Embargo end date: 01 Jan 2012 English Publisher:Springer Science and Business Media LLCJournal:Constructive Approximation, volume 38, pages 311-337 (issn: 0176-4276, eissn: 1432-0940, Copyright policy )
Authors: Barnsley, Michael; vince, Andrew;

doi: 10.1007/s00365-013-9205-3 , 10.48550/arxiv.1209.6100

arXiv: 1209.6100

handle: 1885/73868

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.

Related Organizations
Keywords

Dynamical Systems (math.DS), iterated function system, fractal function, interpolation, Interpolation, Real-analytic functions, analytic continuation, Fractal function, Fractals, FOS: Mathematics, 32D99, 26A27, Singular functions, Cantor functions, functions with other special properties, Mathematics - Dynamical Systems, Keywords: Analytic continuation, Interpolation in approximation theory, Iterated function system

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    selected citations
    These citations are derived from selected sources.
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 13
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
13
Average
Top 10%
Top 10%
Green