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Existence of eigenforms on fractals with three vertices

Published online by Cambridge University Press:  18 September 2007

Roberto Peirone
Roberto Peirone
Affiliation:
Dipartimento di Matematica, Università di Roma ‘Tor Vergata’, via della Ricerca Scientifica, 00133 Roma, Italy (peirone@mat.uniroma2.it)
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Abstract

In this paper, I prove that on every fractal structure with three vertices, for suitable weights, the renormalization operator has an eigenform.

Information

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 137 , Issue 5 , October 2007 , pp. 1073 - 1080
Copyright
2007 Royal Society of Edinburgh

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