18.102 | Spring 2021 | Undergraduate

Introduction to Functional Analysis

Lecture 15: Orthonormal Bases and Fourier Series

Description: 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.

Instructor: Dr. Casey Rodriguez

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Spring 2021
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