Real Analysis Prelim Camp

Here is where I will upload notes, problems, and solutions for the real analysis prelim camp in Summer, 2020. All the problems come from past UT prelim exams.  Measure Theory – Problems Measure Theory – Solutions Integration and Limits – Problems Integration and Limits – Solutions For problem 11, there is actually an alternative way … Continue reading Real Analysis Prelim Camp

Partial Fourier Sums and Some Probability

These are the lecture notes for a harmonic analysis reading group talk I gave October 14th, 2019 at UT Austin. They are based off of the book Classical and Multilinear Harmonic Analysis Vol. 1 by Muscalu and Schlag Throughout the following notes, we will be working on . Our Fourier transform will be defined to … Continue reading Partial Fourier Sums and Some Probability