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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.

  1. The maximal operator on $latex L\log L$ functions
    Karla Flores and Jaime Hernández
  2. Functions equal to their Fourier transform
    Bernardo Ameneyro and Gabriel Rosales
  3. The Fourier transform of radial functions
    Yair Castillo and Rafael Morales