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Fractal Continuation

Barnsley, Michael; vince, Andrew

Description

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.

dc.contributor.authorBarnsley, Michael
dc.contributor.authorvince, Andrew
dc.date.accessioned2015-12-13T22:27:16Z
dc.identifier.issn0176-4276
dc.identifier.urihttp://hdl.handle.net/1885/73868
dc.description.abstractA 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.
dc.publisherSpringer
dc.sourceConstructive Approximation
dc.subjectKeywords: Analytic continuation; Fractal function; Interpolation; Iterated function system
dc.titleFractal Continuation
dc.typeJournal article
local.description.notesImported from ARIES
local.identifier.citationvolume38
dc.date.issued2013
local.identifier.absfor010111 - Real and Complex Functions (incl. Several Variables)
local.identifier.absfor010201 - Approximation Theory and Asymptotic Methods
local.identifier.ariespublicationf5625xPUB3866
local.type.statusPublished Version
local.contributor.affiliationBarnsley, Michael, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationvince, Andrew, University of Florida
local.description.embargo2037-12-31
local.bibliographicCitation.issue2
local.bibliographicCitation.startpage311
local.bibliographicCitation.lastpage337
local.identifier.doi10.1007/s00365-013-9205-3
dc.date.updated2016-02-24T09:18:29Z
local.identifier.scopusID2-s2.0-84883813388
local.identifier.thomsonID000324104800007
CollectionsANU Research Publications

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