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Topics in Fourier Analysis

Massachusetts Institute of TechnologyUnited StatesRES.18-015
Free, no sign-up neededSpring 2024English
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The goal of these lectures is to provide an introduction to Fourier analysis. The first topic is Fourier series, in particular, the Gibbs phenomenon and the dependence of their convergence properties on the suitability method used. The second topic is the Fourier transform, first the L¹ theory and then, using Hermite functions, the L² theory. The third topic is L. Schwartz’s theory of tempered distributions.

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