Introduction to functional analysis (Rodriguez)

Casey Rodriguez: Introduction to Functional Analysis, XVI. Fejer’s Theorem and Convergence of Fourier Series

1st January, 2021
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The previous lecture in this series is here. The next lecture in this series is here.

We continue discussing Fourier series, introducing the Fejer and Dirichlet kernels and ultimately proving Fejer’s Theorem. We conclude this short subunit on Fourier analysis by proving the convergence of Fourier series in L2.

These videos are of a lecture course by Casey Rodriguez at the Massachusetts Institute of Technology in 2021, and made available as part of its OpenCourseWare initiative.