MATH 265AReal Analysis for Applications
Mathematics · 4 units · Graduate courses (200-299)
Not open for credit to students with credit for courses 245A, 245B, 245C. Lebesgue measure and integration on real line, absolutely continuous functions, functions of bounded variation, L 2 - and L p -spaces. Fourier series. General measure and integrations, Fubini and Radon/Nikodym theorems, representation of functionals, Fourier integrals.
When it runs
Not on the schedule for any of Fall 2025 through Spring 2027. UCLA publishes only that window, so this does not mean the course is gone — check the official listing.
Requisites
Official UCLA wording
Requisites: courses 131A, 131B.
Requires
Everything that has to come before this course, not just the courses named in the requisite above.
Unlocks
What this course is a requisite for, and what those courses lead to in turn.
MATH 265A
- MATH 255AFunctional Analysis
- MATH 255BTopics in Functional Analysis
- MATH 255CTopics in Functional Analysis
- MATH 256ATopological Groups and Their Representations
- MATH 256BTopological Groups and Their Representations
- MATH 259AOperator Algebras in Hilbert Space
- MATH 259BOperator Algebras in Hilbert Space
- MATH 268CTopics in Applied Functional Analysis
1 course lists this as a requisite. The whole downstream is here — 12 courses over 3 levels. Every course here opens its own tree.