Gradients of Laplacian Eigenfunctions on the Sierpinski Gasket

2007/11/14 by Jessica L. DeGrado, DeGrado, Jessica L., Luke G. Rogers +3
Computer Science · Mathematics · #28A80 (Primary) #33E30 (Secondary) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods #Mathematical Dynamics and Fractals #Topological and Geometric Data Analysis #math.CA #math.FA #msc:28A80 #msc:33E30

paper · pdf · doi:10.48550/arxiv.0711.2269

LaTex, 8 pages, 4 figures

arxiv created 2007/11/14 · openalex publication_date 2007/11/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We use spectral decimation to provide formulae for computing the harmonic gradients of Laplacian eigenfunctions on the Sierpinski Gasket. These formulae are given in terms of special functions that are defined as infinite products.

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