Tractability of sampling recovery on unweighted function classes
David Krieg
Abstract:It is well-known that the problem of sampling recovery in the
L
2
L_2
-norm on unweighted Korobov spaces (Sobolev spaces with mixed smoothness) as well as classical smoothness classes such as Hölder classes suffers from the curse of dimensionality. We show that the problem is tractable for those classes if they are intersected with the Wiener algebra of functions with summable Fourier coefficients. In fact, this is a relatively simple implication of powerful results from the … Show more
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