Gradients of Laplacian Eigenfunctions on the Sierpinski Gasket

Details Gradients of Laplacian Eigenfunctions on the Sierpinski Gasket Gradients of Laplacian Eigenfunctions on the Sierpinski Gasket

2007-11-14

arxiv.org/abs/0711.2269v1

Mathematics

Classical Analysis and ODEs

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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