| Syllabus |
This will be an advanced course in Harmonic Analysis. The scope of it is to describe in detail what we called the "Helicoidal Method”, an iterative, and extremely robust technique, which provides in particular, new paradigms for proving (multiple) vector valued, sparse
domination and mixed norm estimates for many (if not most) of the multi-quasi-linear operators of interest in Harmonic Analysis. It has been developed in the last eight years (or so), in collaboration with Cristina Benea, who was a graduate student here at Cornell,
and graduated in May 2015.
The presentation will be as self contained as possible, but familiarity with the basic theories of Harmonic Analysis, should clearly be of help. I envision this class as being a class for people who like ANALYSIS, even if their particular research interests lie
in distinct areas, such as PDE, Mathematical Physics, Functional Analysis, Complex Analysis, Geometric Measure Theory, Calculus of Variations, Spectral Theory, etc.
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