45 citations · 146 across the 29 of their papers we have counts for
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math.CA2009★ 11 cited
Smooth bumps, a Borel theorem and partitions of smooth functions on p.c.f. fractals
Luke G Rogers, Robert S. Strichartz, Alexander Teplyaev
We provide two methods for constructing smooth bump functions and for smoothly cutting off smooth functions on fractals, one using a probabilistic approach and sub-Gaussian estimat…
math.FA2009
Distribution theory on p.c.f. fractals
Luke G. Rogers, Robert S. Strichartz
We construct a theory of distributions in the setting of analysis on post-critically finite self-similar fractals, and on fractafolds and products based on such fractals. The resul…