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Microscopists have done combined space and frequency decompositions optically since long before coining of the word "wavelet" , under the name "darkfield imaging"  . Now integrative views of lattice information in digital images yield new challenges for mathematical harmonic analysis  . Such challenges are illustrated by a series of notes [4-7] on the uses and shortcomings of "weakly convergent" Fourier transform window techniques. Here, we show how robust (if pedestrian) digitaldoi:10.1017/s1431927607077860 fatcat:6fpdyxjqofag5p7ud3wkab7auq