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Generalized Eigenfunctions and a Borel Theorem on the Sierpinski Gasket |
Published:2009-03-01
Printed: Mar 2009
Printed: Mar 2009
- Kasso A. Okoudjou
- Luke G. Rogers
- Robert S. Strichartz
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.
| MSC Classifications: |
28A80 - Fractals [See also 37Fxx] 31C45 - Other generalizations (nonlinear potential theory, etc.) |