Gradients of Laplacian Eigenfunctions on the Sierpinski Gasket

by Jessica L. DeGrado, Luke G. Rogers, Robert S. Strichartz

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.

Arxiv preprint version

Published version at Proc AMS.