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Uniqueness of eigenforms on fractals – II
Author(s) -
Peirone Roberto
Publication year - 2015
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201400126
Subject(s) - uniqueness , mathematics , verifiable secret sharing , pure mathematics , fractal , mathematical analysis , computer science , set (abstract data type) , programming language
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.