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Lecture 15: Orthonormal Bases and Fourier Series
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MIT 18.102 Introduction to Functional Analysis, Spring 2021
Instructor: Dr. Casey Rodriguez
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.
License: Creative Commons BY-NC-SA
Instructor: Dr. Casey Rodriguez
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.
License: Creative Commons BY-NC-SA
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