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Refinable functions, functionals, and iterated function systems

Author

Listed:
  • Calabrò, F.
  • Corbo Esposito, A.
  • Mantica, G.
  • Radice, T.

Abstract

Invariant measures of iterated function systems and refinable functions are mathematical tools of vast usage, that, although usually considered in different contexts, are deeply linked. We outline these links, in particular with respect to existence and regularity of these objects.

Suggested Citation

  • Calabrò, F. & Corbo Esposito, A. & Mantica, G. & Radice, T., 2016. "Refinable functions, functionals, and iterated function systems," Applied Mathematics and Computation, Elsevier, vol. 272(P1), pages 199-207.
    • Handle: RePEc:eee:apmaco:v:272:y:2016:i:p1:p:199-207
    DOI: 10.1016/j.amc.2015.06.006
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    References listed on IDEAS

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    1. Niu, M. & Xi, L.-F., 2007. "Singularity of a class of self-similar measures," Chaos, Solitons & Fractals, Elsevier, vol. 34(2), pages 376-382.
    2. Zheng, Hongchan & Ye, Zhenglin & Lei, Youming & Liu, Xiaodong, 2007. "Fractal properties of interpolatory subdivision schemes and their application in fractal generation," Chaos, Solitons & Fractals, Elsevier, vol. 32(1), pages 113-123.
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