On self-affine functions II
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We parametrize continuous self-affine functions defined in  and represent them by the infinite sum. We also give a necessary and sufficient condition so that a self-affine function has absolutely continuous distribution with respect to the Lebesgue measure. Moreover we discuss surface filling functions defined by two self-affine functions and compare these with those constructed by D. Hilbert .
Key wordsself-affine function self-similarity surface filling function
- J. Bertoin, Sur la mesure d’occupation d’une classe de fonctions self-affines. Pre-print.Google Scholar