Some spectral properties of pseudo-differential operators on the Sierpinski Gasket
classification
🧮 math.SP
math.APmath.FA
keywords
gasketoperatorscertainclassesdefinedeigenfunctionsexistencefractal
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We prove versions of the strong Sz\"ego limit theorem for certain classes of pseudodifferential operators defined on the Sierpi\'nski gasket. Our results used in a fundamental way the existence of localized eigenfunctions for the Laplacian on this fractal.
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