46 citations · 191 across the 47 of their papers we have counts for
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math.CA2009
Orthogonal Polynomials with Respect to Self-Similar Measures
Steven M. Heilman, Philip Owrutsky, Robert S. Strichartz
We study experimentally systems of orthogonal polynomials with respect to self-similar measures. When the support of the measure is a Cantor set, we observe some interesting proper…
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…