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Laplacians on fractals with spectral gaps have nicer Fourier series

2005; International Press of Boston; Volume: 12; Issue: 2 Linguagem: Inglês

10.4310/mrl.2005.v12.n2.a12

1945-001X

Robert S. Strichartz,

Mathematical Analysis and Transform Methods

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.