Rearrangements of Fourier Series

Series: 
Analysis Seminar
Wednesday, March 7, 2012 - 14:00
1 hour (actually 50 minutes)
Location: 
Skiles 005
,  
University of Texas
Organizer: 
We will discuss several results (and open problems) related to rearrangements of Fourier series, particularly quantitative questions about maximal and variational operators. For instance, we show that the canonical ordering of the trigonometric system is not optimal for certain problems in this setting. Connections with analytic number theory will also be given. This is based on joint work with Allison Lewko.