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

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DOI

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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     author = {Okoudjou, Kasso A. and Rogers, Luke G. and Strichartz, Robert S.},
     title = {Generalized {Eigenfunctions} and a {Borel} {Theorem} on the {Sierpinski} {Gasket}},
     journal = {Canadian mathematical bulletin},
     pages = {105--116},
     year = {2009},
     volume = {52},
     number = {1},
     doi = {10.4153/CMB-2009-013-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2009-013-3/}
}
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%J Canadian mathematical bulletin
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