Gradients of Laplacian Eigenfunctions on the Sierpinski Gasket

Mathematics – Classical Analysis and ODEs

Scientific paper

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LaTex, 8 pages, 4 figures

Scientific paper

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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