The previous lecture in this series is here. The next lecture in this series is here.
We prove some important identities for Hilbert spaces, such as the Fourier-Bessel series and Parseval’s identity. We explore a close connection to Fourier analysis, defining Fourier coefficients, series and the Cesaro-Fourier mean.
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.