Math 314 Lecture 11: Friday, October 1st 1999.
A theorem was proved, using Parseval's equation, showing that a set of
orthonormal functions closed in the sense of mean convergence is
complete. Parseval's equation was also used to obtain an expression
for the minimum error in a Fourier series.
The rest of today's lecture was on the proof of the Fourier Convergence
Theorem. The mean features of the proof were outlined. Details can be
found in the textbook.
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Revised 03 October 1999 by
John Hebron.