Course Description

63-422 Applied Functional Analysis W(3-0) [0.50]

Hilbert and Banach spaces: applications to Fourier series and numerical analysis. Hahn-Banach theorem; weak topologies. Generalized functions; application to differential equations. Completeness; uniform boundedness principle. Lebesque measure and integral; applications to probability and dynamics. Spectral theory. (Offered in even-numbered years.)

Prerequisites: 63-216, 63-320.

Course Profile

1998-99 Undergraduate Calendar