Gradients of Laplacian Eigenfunctions on the Sierpinski Gasket
Classical Analysis and ODEs
2007-11-15 v1 Functional Analysis
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.
Keywords
Cite
@article{arxiv.0711.2269,
title = {Gradients of Laplacian Eigenfunctions on the Sierpinski Gasket},
author = {Jessica L. DeGrado and Luke G. Rogers and Robert S. Strichartz},
journal= {arXiv preprint arXiv:0711.2269},
year = {2007}
}
Comments
LaTex, 8 pages, 4 figures