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1. EIGENFORMS ON FRACTALS WITH CONNECTED INTERIOR AND THREE VERTICES.

Author

ELIA, MATTEO and PEIRONE, ROBERTO

Subjects
*GEOMETRIC vertices, *FRACTALS, *COEFFICIENTS (Statistics), *MATHEMATICS, *FINITE geometries
Abstract

An important problem in analysis on fractals is the existence and the determination of an eigenform on a given finitely ramified fractal. It is known that on every fractal either with three vertices or with connected interior, an eigenform exists for suitable weights on the cells. In this paper, we prove that if the fractal has three vertices and connected interior, the form having all coefficients equal to 1 is an eigenform for suitable weights on the cells. [ABSTRACT FROM AUTHOR]

Published
2018
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