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Generalized Eigenfunctions and a Borel Theorem on the Sierpinski Gasket
Published online by Cambridge University Press: 20 November 2018
Abstract
We prove there exist exponentially decaying generalized eigenfunctions on a blow-up of the Sierpinski gasket with boundary. These are used to show a Borel-type theorem, specifically that for a prescribed jet at the boundary point there is a smooth function having that jet.
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- Copyright © Canadian Mathematical Society 2009
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