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From Pólya's Conditions to a Complete Characterization of the $L^2$ Convergence of Hyperinterpolation
It has remained open to identify the necessary and sufficient conditions for the $L^2$ convergence of hyperinterpolation since it was introduced by Sloan in 1995. We show that the $L^1$-$L^2$ Marcinkiewicz-Zygmund (MZ) condition, together with the asymptotic functional approximation property for pol
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