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×Davis, California•
Metric and normed spaces. Continuous functions. Topological, Hilbert, and Banach spaces. Fourier series. Spectrum of bounded and compact linear operators. Linear differential operators and Green's functions. Distributions. Fourier transform. Measure theory. Lp and Sobolev spaces. Differential calculus and variational methods.
Units: 4.0
Hours: Lecture—3 hour(s); Term Paper/Discussion—1 hour(s).