Extensions and their minimizations on the Sierpinski gasket

DOI10.1007/s11118-014-9415-8zbMath1306.28010arXiv1308.6814OpenAlexW2083307655MaRDI QIDQ471056

Nicholas Ryder, Pak-Hin Li, Robert S. Strichartz, Baris Evren Ugurcan

Publication date: 13 November 2014

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.6814

zbMATH Keywords

Whitney extension theoremSierpinski gasketHaar functionsconductanceextension from finite set of datapiecewise biharmonic functionpiecewise harmonic function

Mathematics Subject Classification ID

Fractals (28A80) Potential theory on fractals and metric spaces (31E05)

Related Items

BOUNDED VARIATION ON THE SIERPIŃSKI GASKET ⋮ NONLINEAR MEAN-VALUE FORMULAS ON FRACTAL SETS ⋮ Boundary value problems for a family of domains in the Sierpinski gasket ⋮ Boundary value problems for harmonic functions on domains in Sierpinski gaskets ⋮ ON MAX–MIN MEAN VALUE FORMULAS ON THE SIERPINSKI GASKET

Cites Work

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• The jet of an interpolant on a finite set
• Linear fractional recurrences: periodicities and integrability
• Boundary value problems on a half Sierpiński gasket
• Measurable Riemannian geometry on the Sierpinski gasket: the Kusuoka measure and the Gaussian heat kernel estimate
• Prolongement extremal de fonctions différentiables d'une variable
• Interpolation and extrapolation of smooth functions by linear operators
• Energy measures of harmonic functions on the Sierpinski gasket
• The resolvent kernel for PCF self-similar fractals
• Whitney’s extension problems and interpolation of data
• Splines on fractals
• Boundary value problems for harmonic functions on a domain in the Sierpinski gasket