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arxiv: 0711.2269 · v1 · submitted 2007-11-14 · 🧮 math.CA · math.FA

Gradients of Laplacian Eigenfunctions on the Sierpinski Gasket

classification 🧮 math.CA math.FA
keywords eigenfunctionsformulaegasketgradientslaplaciansierpinskicomputingdecimation
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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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