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4. Uniqueness of eigenforms on fractals.

Author

Peirone, Roberto

Subjects
*FRACTALS, *DIRICHLET forms, *EUCLIDEAN algorithm, *GASKETS, *EIGENFUNCTIONS, *INVARIANT subspaces
Abstract

I give some rather general criteria for the uniqueness of the eigenform on finitely ramified fractals. In particular, I characterize the uniqueness in the case of four vertices with some additional condition, and give some examples of non-tree symmetric fractals where the eigenform is not unique. [ABSTRACT FROM AUTHOR]

Published
2014
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