MATH 240CReal Analysis III

4 units · MATH · UC San Diego

Third course in graduate real analysis. Abstract measure and integration theory, integration on product spaces. Lebesgue measure and integral, Lebesgue-Stieltjes integrals, functions of bounded variation, differentiation of measures. Locally compact Hausdorff spaces, Banach and Hilbert spaces, linear functionals. Lebesgue spaces and interpolation, elements of Fourier analysis and distribution theory.

Before you enroll

Prerequisites

From the catalog: “MATH 240B. Students who have not completed MATH 240B may enroll with consent of instructor.”

What it opens up

Courses that list MATH 240C as a prerequisite (3)

MATH 231A Partial Differential Equations I
MATH 241A Functional Analysis I
MATH 242 Topics in Fourier Analysis