I give an explicitly verifiable necessary and sufficient condition for the uniqueness of the eigenform on finitely ramified fractals, once an eigenform is known. This improves the results of my previous paper [16], where I gave some necessary and some sufficient conditions, and with a relatively mild additional requirement on the known eigenform. The result of this paper can be interpreted as a uniqueness result for self-similar energies on finitely ramified fractals. (C) 2015 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

Peirone, R. (2015). Uniqueness of eigenforms on fractals - II. MATHEMATISCHE NACHRICHTEN, 288(11-12), 1431-1447 [10.1002/mana.201400126].

Uniqueness of eigenforms on fractals - II

Peirone R.
2015-01-01

Abstract

I give an explicitly verifiable necessary and sufficient condition for the uniqueness of the eigenform on finitely ramified fractals, once an eigenform is known. This improves the results of my previous paper [16], where I gave some necessary and some sufficient conditions, and with a relatively mild additional requirement on the known eigenform. The result of this paper can be interpreted as a uniqueness result for self-similar energies on finitely ramified fractals. (C) 2015 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
2015
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore MAT/05 - ANALISI MATEMATICA
English
Dirichlet forms; fractals; eigenforms
Peirone, R. (2015). Uniqueness of eigenforms on fractals - II. MATHEMATISCHE NACHRICHTEN, 288(11-12), 1431-1447 [10.1002/mana.201400126].
Peirone, R
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/245582
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