Harmonic Analysis, Geometric Measure Theory and Applications

One of the goals of this school is to provide latin-american students with the possibility to attend courses and lectures related to Harmonic Analysis and Geometric Measure Theory, and their applications. This school will focus on those aspects of Harmonic Analysis which recently have had a huge impact, in particular in image and signal processing. A characteristic feature is that several technological deadlocks have been solved through the resolution of deep theoretical problems in harmonic analysis and Geometric Measure Theory. This school will present the new interlaces between Geometric Measure Theory and Harmonic Analysis and how these new understandings can be applied to solve real life problems. A special emphasis will be put on new relationships between Ergodic Theory and Geometric Measure Theory, EMD (empirical mode decomposition), and multifractal analysis based on p-exponents.