Functional Analysis (MATH-0237)

Spring 2024 · MATH 0237 · Tufts University · 3 credits · Undergraduate

Topological vector spaces, seminorms and local convexity, Banach Steinhaus theorem, open mapping theorem, Hahn-Banach theorem, duality. Test functions and distributions, localization and supports of distributions. Fourier transforms, inversion, tempered distributions, Paley-Wiener theorem, Sobolev’s lemma. Banach algebras, Gelfand transforms, spectral theory of bounded linear operators on Hilbert spaces. Prerequisites: Math 235 and graduate standing, or permission of instructor.

Course codes: MATH-0237, MATH 0237, MATH0237, MATH-237, MATH 237, MATH237

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