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American Mathematical Society, Proceedings of the American Mathematical Society, 5(145), p. 2183-2198

DOI: 10.1090/proc/13512

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Some spectral properties of pseudo-differential operators on the Sierpinski Gasket

Journal article published in 2014 by Marius Ionescu, Kasso A. Okoudjou, Luke G. Rogers
This paper is made freely available by the publisher.
This paper is made freely available by the publisher.

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Abstract

We prove versions of the strong Szëgo limit theorem for certain classes of pseudodifferential operators defined on the Sierpiński gasket. Our results used in a fundamental way the existence of localized eigenfunctions for the Laplacian on this fractal.