Existence of eigenforms on fractals with three vertices

DOI10.1017/S0308210505001137zbMath1148.28012OpenAlexW2022000464MaRDI QIDQ5441701

Roberto Peirone

Publication date: 15 February 2008

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210505001137

zbMATH Keywords

Dirichlet formfractalself-similareigenform

Mathematics Subject Classification ID

Fractals (28A80)

Related Items (8)

Self-similar energy forms on the Sierpinski gasket with twists ⋮ Uniqueness of eigenforms on fractals - II ⋮ Upper estimate of martingale dimension for self-similar fractals ⋮ Hodge-de Rham theory on fractal graphs and fractals ⋮ Distribution theory on p.c.f. fractals ⋮ Existence of self-similar energies on finitely ramified fractals ⋮ Denjoy-Wolff theorems, Hilbert metric nonexpansive maps and reproduction-decimation operators ⋮ EIGENFORMS ON FRACTALS WITH CONNECTED INTERIOR AND THREE VERTICES

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