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MATH 4220 - Applied Functional Analysis W (3-0) [0.50]

Hilbert and Banach spaces are covered including applications to Fourier series and numerical analysis. Other topics include the Hahn-Banach theorem; weak topologies; generalized functions and their application to differential equations; completeness; the uniform boundedness principle; Lebesgue measure and integral and applications to probability and dynamics; and spectral theory. (Offered in even-numbered years.)