We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Uniqueness of eigenforms on fractals - II.
- Authors
Peirone, Roberto
- 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.
- Subjects
FRACTAL analysis; GEOMETRIC analysis; DIRICHLET forms; MATHEMATICAL forms; CHARACTERS sums (Mathematics)
- Publication
Mathematische Nachrichten, 2015, Vol 288, Issue 11/12, p1431
- ISSN
0025-584X
- Publication type
Article
- DOI
10.1002/mana.201400126