Lectures

Course information
Riesz Rep. Thm. (basic) Lecture 1-2 + 1st part of 3 notes (3/30, 4/1, 4/6)
Approximation and Regularity. 2nd part of Lecture 3 + 1st part of Lecture 4 notes (4/6, 4/8)
Semicontinuity. 2nd part of Lecture 4 notes (4/8)
Dual of C_0(X), Riesz Rep. Thm. (general). Lecture 5 +1st part of Lecture 6 notes (4/13, 4/15)
Radon product measures and Fubini-Tonelli. 2nd part of Lecture 6 + Lecture 7 + 1st part of Lecture 8 notes (4/15, 4/20, 4/22)
Test functions. 2nd part of Lecture 8 notes + 1st part of Lecture 9 notes (4/22, 4/29)
Smoothing and Approximation. 2nd part of Lecture 9 + Lecture 10 + 1st part of Lecture 11 notes (4/29, 5/4, 5/6)
Fourier Analysis. 2nd part of Lecture 11 + Lecture 12 + Lecture 13 + 1st part of Lecture 14 notes (5/6, 5/13, 5/18, 5/20)
Basic Distribution Theory. 2nd part of Lecture 14 +Lecture 15+ Lecture 16 notes (5/20, 5/25, 5/27)
Fourier Analysis and Distribution Theory. Elliptic regularity. Lecture 17 + Lecture 18 notes (6/1, 6/3)