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MATH 9041. Functional Analysis I. 3 Credit Hours.

Topics covered include Banach and Hilbert spaces, Banach-Steinhaus theorem, Hahn-Banach theorem, Stone-Weierstrass theorem, Operator theory, self-adjointness, compactness. Also covered are Sobolev spaces, embedding theorems, Schwartz distributions, Paley-Wiener theory. If time permits, Banach and C algebras will be covered.

Department Restrictions: Must be enrolled in one of the following Departments: CST:Mathematics.
Level Registration Restrictions: Must be enrolled in one of the following Levels: Graduate.

Repeatability: This course may not be repeated for additional credits.

Pre-requisites:
(MATH 8041|Minimum Grade of B-|May not be taken concurrently)
AND (MATH 8042|Minimum Grade of B-|May not be taken concurrently)
AND (MATH 8161|Minimum Grade of B-|May not be taken concurrently)