Mathematical Research Letters

Volume 12 (2005)

Number 2

Laplacians on fractals with spectral gaps have nicer Fourier series

Pages: 269 – 274



Robert S. Strichartz (Cornell University)


On the Sierpinski gasket and related fractals, partial sums of Fourier series (spectral expansions of the Laplacian) converge along certain special subsequences. This is related to the existence of gaps in the spectrum.

Published 1 January 2005