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Fractal interpolants on the unit circle

✍ Scribed by M.A. Navascués

Publisher: Elsevier Science
Year: 2008
Tongue: English
Weight: 305 KB
Volume: 21
Category: Article
ISSN: 0893-9659
DOI: 10.1016/j.aml.2007.03.021

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✦ Synopsis

A methodology based on fractal interpolation functions is used in this work to define new real maps on the circle generalizing the classical ones. A partition on the circle and a scale vector enable the modification of the definition and properties of the standard periodic functions. The fractal analogues can be constructed even if the originals are not continuous. The new functions provide Hilbert bases for the square integrable maps on the circle.

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