Geodesic
Generalized Eigenfunctions and a Borel Theorem on the Sierpinski Gasket
Canadian mathematical bulletin, Tome 52 (2009) no. 1, pp. 105-116

Voir la notice de l'article provenant de la source Cambridge University Press

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.
DOI : 10.4153/CMB-2009-013-3
Mots-clés : 28A80, 31C45 
Okoudjou, Kasso A.; Rogers, Luke G.; Strichartz, Robert S. Generalized Eigenfunctions and a Borel Theorem on the Sierpinski Gasket. Canadian mathematical bulletin, Tome 52 (2009) no. 1, pp. 105-116. doi: 10.4153/CMB-2009-013-3
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