MATH7301 (Functional Analysis) course reviews and ratings at Northeastern (NEU). Compare professors with RateMyProfessor reviews.
Introduces essential results of functional analysis and some of its applications. The main abstract facts can be understood independently. Omits proof of some important basic theorems about Hilbert and Banach spaces (Hahn-Banach theorem, open mapping theorem) to allow more time for applications of the abstract techniques such as compact operators, Peter-Weyl theorem for compact groups, spectral theory, Gelfand’s theory of commutative C*-algebras, mean ergodic theorem, Fourier transforms and Sobolev embedding theorems, and distributions and elliptic operators.
Data updated October 2026.