Some spectral properties of pseudo-differential operators on the Sierpiński gasket

Ionescu, Marius; Okoudjou, Kasso; Rogers, Luke

doi:10.1090/proc/13512

Some spectral properties of pseudo-differential operators on the Sierpiński gasket
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by Marius Ionescu, Kasso A. Okoudjou and Luke G. Rogers

Proc. Amer. Math. Soc. 145 (2017), 2183-2198

DOI: https://doi.org/10.1090/proc/13512

Published electronically: December 15, 2016

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Abstract:

We prove versions of the strong Szegö limit theorem for certain classes of pseudo-differential operators defined on the Sierpiński gasket. Our results use in a fundamental way the existence of localized eigenfunctions for the Laplacian on this fractal.

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