Gradients of Laplacian Eigenfunctions on the Sierpinski Gasket

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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.
LaTex, 8 pages, 4 figures

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Classical Analysis and ODEs, Functional Analysis, 28A80 (Primary); 33E30 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/142156

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0711.2269
 http://arxiv.org/abs/0711.2269

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arXiv