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math.AP2013
Sampling Theory with Average Values on the Sierpinski Gasket
Robert J. Ravier, Robert S. Strichartz
In the case of some fractals, sampling with average values on cells is more natural than sampling on points. In this paper we investigate this method of sampling on and $SG_{3…
math.AP2013
Boundary Value Problems on a Half Sierpinski Gasket
Weilin Li, Robert S. Strichartz
We study boundary value problems for the Laplacian on a domain consisting of the left half of the Sierpinski Gasket (), whose boundary is essentially a countable set of poi…