Introduction

Here is the basic plan for the lectures:-

1. 7 lectures on measure and integration - Leading to Riesz representation theorem. (Reduced to 5 by popular demand.)
2. 7 lectures on distributions and Fourier transform - including Schwart space, Sobolev spaces and Sobolev embedding.
3. 7 lectures on differential operators with constant coefficients, fundamental solutions and hypoellipticity.
4. 4 lectures on operators, trace class, Hilbert-Schmid.