Geodesic
On weak separation property for affine fractal functions
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 12 (2015), pp. 967-972

Voir la notice de l'article provenant de la source Math-Net.Ru

We show that a fractal affine function $f(x)$ defined by a system $\mathcal{S}$ which does not satisfy weak separation property is a quadratic function.
Keywords: self-similar set, weak separation property
Mots-clés : fractal, affine FIF. 
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     author = {A. V. Tetenov and A. K. B. Chand},
     title = {On weak separation property for affine fractal functions},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {967--972},
     publisher = {mathdoc},
     volume = {12},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2015_12_a50/}
}
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A. V. Tetenov; A. K. B. Chand. On weak separation property for affine fractal functions. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 12 (2015), pp. 967-972. http://geodesic.mathdoc.fr/item/SEMR_2015_12_a50/