# ITERATED FUNCTION SYSTEMS, REPRESENTATIONS, AND HILBERT SPACE

@article{Jorgensen2004ITERATEDFS, title={ITERATED FUNCTION SYSTEMS, REPRESENTATIONS, AND HILBERT SPACE}, author={Palle E. T. Jorgensen}, journal={International Journal of Mathematics}, year={2004}, volume={15}, pages={813-832} }

In this paper, we are concerned with spectral-theoretic features of general iterated function systems (IFS). Such systems arise from the study of iteration limits of a finite family of maps τi, i=1,…,N, in some Hausdorff space Y. There is a standard construction which generally allows us to reduce to the case of a compact invariant subset X⊂Y. Typically, some kind of contractivity property for the maps τi is assumed, but our present considerations relax this restriction. This means that there…

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