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A Foray into Fourier and Fejér by Benjamin Mygatt '20, Wednesday, November 20, 1 - 1:45 pm

Wed, November 20th, 2019
1:00 pm
- 1:45 pm

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A Foray into Fourier and Fejér by Benjamin Mygatt ’20, Wednesday, November 20, 1 – 1:45 pm, Stetson Court Classroom 110, Mathematics Colloquium

Abstract:  In this talk, we will investigate convergence of Fourier Series under certain conditions.  In particular, we will prove Fejér’s Theorem, which states that the Cesàro sum of the partial sums of the Fourier Series of a continuous function uniformly converge to the original function. Then, we will look at a quick example of how Fourier Series are applied in audio digitization.

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