Behavior of partial sums of wavelet series
It is shown that for a distribution \(f\) in the Sobolev space \(H^{1/2}\) the partial sums of its wavelet expansion behave like truncated versions of the inverse Fourier transform of \(\hat{f}\). The similar result does not hold for \(H^s\) if \(s < 1/2\).
scientific article; zbMATH DE number 1423073
scientific article