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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.

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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