AIMS Lab Seminar - Fletcher Gates - Weighted Alpert Wavelets
Speaker: Fletcher Gates
Title: Weighted Alpert Wavelets
Abstract: We give a brief overview of one-dimensional Haar and Alpert wavelet bases in Lebesgue measure, then demonstrate how to generalize these constructions to higher dimension and arbitrary measures. In particular we show the difficulties that arise in certain degenerate measures, and give an algorithm for determining the dimension of the wavelet basis in these cases. We also show that these bases can be selected to contain some additional moment vanishing properties.