IFS on Spaces of Functions

Herb Kunze (), Davide La Torre (), Franklin Mendivil () and Edward R. Vrscay ()
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Herb Kunze: University of Guelph, Department of Mathematics and Statistics
Davide La Torre: University of Milan, Department of Economics, Business and Statistics
Franklin Mendivil: Acadia University, Department of Mathematics and Statistics
Edward R. Vrscay: University of Waterloo, Department of Applied Mathematics

Chapter Chapter 3 in Fractal-Based Methods in Analysis, 2012, pp 87-123 from Springer

Abstract: Abstract Geometric and measure-theoretic IFSs can easily be extended to IFS operators acting on functions. These operators are closely related to the IFS on measures from Sect. 2.5. Historically, one primary motivation for these operators was the desire to represent digital images by means of attractors of IFSs.

Keywords: Functional Equation; Wavelet Basis; Mother Wavelet; Haar Wavelet; Wavelet Domain (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/978-1-4614-1891-7_3

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