Advanced Real Analysis

12 units · Graduate

Spring: 12 units This course is a sequel to 21-720 Measure and Integration. It is meant to introduce students to a number of important advanced topics in analysis.Topics include: distributions, Fourier series and transform, Sobolev spaces, Bochner integration, basics of interpolation theory, integral transforms. (Three 50 minute lectures) Prerequisites: ( 21-456 Min. grade B or 21-236 Min. grade B or 21-356 Min. grade B) and ( 21-237 Min. grade B or 21-373 Min. grade B) and 21-720 Min. grade B