Mini-Course: Analysis on Fractals, Themes, and Applications

A leading theme of the talks is the strong and surprising connections between topics from a list of otherwise disparate areas of mathematics, including multi-resolutions, fractal structures, wavelets, and harmonic analysis. The topics will be made concrete via such themes as: the harmonic analysis of Cantor spaces (and measures) arising as fractals (including fractal dust), and iterated function systems (IFSs), as well as the methods used to study their harmonic analyses and wavelets that span both classical and fractal domains. 

With a breadth of topics, the talks aim at a broader audience, including both established researchers, and students. The interconnectedness, and the sharply focused nature of the topics, will prove beneficial to audiences who are new to the field.