Polynomials on the Sierpiński gasket with respect to different Laplacians which are symmetric and self-similar

DOI10.4171/JFG/95zbMath1455.28010arXiv1901.08713MaRDI QIDQ826457

Robert S. Strichartz, W. Jacob Ogden, Ely Sandine, Christian Loring

Publication date: 4 January 2021

Published in: Journal of Fractal Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.08713

zbMATH Keywords

Sierpiński gasketanalysis on fractals

Mathematics Subject Classification ID

Fractals (28A80)

Related Items (2)

Einstein field equations extended to fractal manifolds: a fractal perspective ⋮ Higher order Laplacians on p.c.f. fractals with three boundary points and dihedral symmetry

Cites Work

• On a spectral analysis for the Sierpiński gasket.
• What is not in the domain of the Laplacian on Sierpinski gasket type fractals
• Calculus on the Sierpinski gasket. I: Polynomials, exponentials and power series
• Spectral decimation for families of self-similar symmetric Laplacians on the Sierpiński gasket
• Self-similar energy forms on the Sierpinski gasket with twists
• Harmonic Calculus on P.C.F. Self-Similar Sets
• A harmonic calculus on the Sierpinski spaces
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