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Mostrando las entradas de mayo, 2019

### Second midterm projects, Harmonic Analysis

As stated in the syllabus, 50% of the midterms grades consist of a written essay of a short research project. The projects may be worked in pairs and the essay must be turn in by June 7. Each enrolled pair of students must choose a different project. Unenrolled students sitting in the course may work on a project, and are free to choose independently of other students, but cannot work with enrolled students. The following is the list of projects to choose from. The maximal operator on $L\log L$ functions Karla Flores and Jaime Hernández Functions equal to their Fourier transform Bernardo Ameneyro and Gabriel Rosales The Fourier transform of radial functions Yair Castillo and Rafael Morales

### Harmonic Analysis: Week 11 notes

Notes on the Hilbert transform:  Chapter11.pdf Note that Chapter 9 was modified to consider averages over all balls containing a given point $x$, and not only those centered at $x$.