Review of general measure and integral; Positive Borel measures; Riesz
representation theorem; Luzin’s theorem; Vitali Caratheodory theorem.
Lp-spaces and their dense subspaces
Complex measures; Absolute continuity; Radon-Nykodym
theorem.
Product measures; Fubini’s theorem; Convolutions.
Derivatives of measures; Functions of bounded variation; Fourier
transform.
- Teacher: Anoop T V