1. CMB 2009 (vol 52 pp. 105)
|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.