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Zbl 1070.42002
Strichartz, Robert S.
Laplacians on fractals with spectral gaps have nicer Fourier series. (English)
[J] Math. Res. Lett. 12, No. 2-3, 269-274 (2005). ISSN 1073-2780

Summary: On the Sierpiński 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.
MSC 2000:
*42A38 Fourier type transforms, one variable
28A80 Fractals
35P05 General spectral theory of PDE

Keywords: analysis on fractals; Sierpiński gasket; Fourier series on fractals

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