SEMINAR IN ANALYSIS

MATH 821

Topics in partial differential equations and real analysis.

MATH 825

Topics will vary and may include spectral theory, nonlinear functional analysis or abstract harmonic analysis.

MATH 721

Real analysis concentrating on measures, integration, and differentiation and including an introduction to Hilbert spaces. Knowledge of undergraduate analysis (e.g. the sequenceMATH 521and522) is strongly recommended.

MATH 725

Continuation ofMATH 721. An introduction to further topics in real analysis: Banach spaces, Fourier transforms, elements of distribution theory, and applications.

MATH 828

Continuation ofMATH 827. Advanced topics in harmonic analysis.