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Search: MSC category 31C45 ( Other generalizations (nonlinear potential theory, etc.) )

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1. CMB 2009 (vol 52 pp. 105)

Okoudjou, Kasso A.; Rogers, Luke G.; Strichartz, Robert S.
Generalized Eigenfunctions and a Borel Theorem on the Sierpinski Gasket
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.

Categories:28A80, 31C45

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