Mathematical Research Letters

Volume 12, Issue 2, March 2005 pp. 269-274.

Laplacians on fractals with spectral gaps have nicer Fourier series

Authors: Robert S. Strichartz
Author institution: Cornell University

Summary: 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.

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