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math.FA2019
A Weak Weyl's Law on compact metric measure spaces
Isaac Z. Pesenson
The well known Weyl's Law (Weyl's asymptotic formula) gives an approximation to the number of eigenvalues (counted with multiplicities) on a large interval $[0,\>ω]…
math.FA2019
Weighted sampling and weighted interpolation on combinatorial graphs
Isaac Z. Pesenson
For Paley-Wiener functions on weighted combinatorial finite or infinite graphs we develop a weighted sampling theory in which samples are defined as inner products with weight func…
math.FA2019
Sampling by averages and average splines on Dirichlet spaces and on combinatorial graphs
Isaac Z. Pesenson
In the framework of a strictly local regular Dirichlet space we introduce the subspaces of Paley-Wiener functions of bandwidth . It is shown that every…