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- W2035677629 abstract "In contrast to the classical situation, it is known that many Laplacian operators on fractals have gaps in their spectrum. This surprising fact means there can be no limit in the Weyl counting formula and it is a key ingredient in proving that the convergence of Fourier series on fractals can be better than in the classical setting. Recently, it was observed that the Laplacian on the Sierpinski gasket has the stronger property that there are intervals which contain no ratios of eigenvalues. In this paper we give general criteria for this phenomena and show that Laplacians on many interesting classes of fractals satisfy our criteria." @default.
- W2035677629 created "2016-06-24" @default.
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- W2035677629 date "2009-12-01" @default.
- W2035677629 modified "2023-09-26" @default.
- W2035677629 title "GAPS IN THE RATIOS OF THE SPECTRA OF LAPLACIANS ON FRACTALS" @default.
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- W2035677629 doi "https://doi.org/10.1142/s0218348x0900451x" @default.
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