Course Description

Mathematics 406a/b Lebesgue Integration and Fourier Series.

Lebesgue measure, measurable sets and functions, approximation theorems, the Lebesgue integral, comparison with the Riemann integral, the basic convergence theorems and continuity properties, the space L2, the Riesz-Fischer theorem and completeness of the trigonometric system, pointwise convergence of Fourier series, Fejér's theorem.

Prerequisite: Mathematics 306a/b.

3 lecture hours, half course.

Academic Calendar