### Mathematics 525b:

## Real Analysis (3.0 units)

a: Measure and integration over abstract measure spaces, Radon-Nikodym theorem, Fubini's theorem, convergence theorems, differentiation. Prerequisite: 425ab. b: Metric spaces, contraction principle, category, Banach spaces, Riesz representation theorem, properties of Lp, Hilbert spaces, orthogonal expansions, Fourier series and transforms, convolutions. Prerequisite: 525a.

**Prerequisite:**MATH 525A

Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
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39740R | 001 | Lecture | 9:00-9:50am | MWF | 16 of 30 | Christian Zillinger | KAP147 | PDF (171003 KB) |