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Average Values of Functions on the Sierpinski Gasket y
| Content Provider | Semantic Scholar |
|---|---|
| Author | Ravier, Robert J. |
| Copyright Year | 2013 |
| Abstract | It’s natural to consider functions defined on the cells of certain fractals, such as the triangles of the Sierpinski gasket. In this paper, we develop a spectral decimation framework for functions defined on the cells of the Sierpinski gasket. Using this, we show that the natural analogues of bandlimited functions on the Sierpinski gasket are uniquely determined by their average value functions on the cells. We also use spectral decimation in order to numerically approximate solutions of nonlinear PDE. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www.math.cornell.edu/files/Research/SeniorTheses/ravierThesis.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
