We present an extension of Wiener's theorem, a nonlinear filter called the measure filter which, when applied to a measure, filters out all but the lowest dimensional part of that measure. We also ...

This is a preview. Log in through your library . Abstract Let H h be the h-dimensional Hausdorff measure on ℝ d . Besicovitch showed that if a set E is null for H h , then it is null for H g , for ...