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arXiv · 0908.0596

Cuntz-Krieger algebras and wavelets on fractals

Matilde Marcolli·Anna Maria Paolucci
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Abstract

We consider representations of Cuntz--Krieger algebras on the Hilbert space of square integrable functions on the limit set, identified with a Cantor set in the unit interval. We use these representations and the associated Perron-Frobenius and Ruelle operators to construct families of wavelets on these Cantor sets.

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Matilde Marcolli, Anna Maria Paolucci. 2009-08-05. Cuntz-Krieger algebras and wavelets on fractals. https://arxiv.org/abs/0908.0596

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