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For those skimming the table of contents of the PDF, here is a breakdown of the core pillars that Körner builds.
The book begins with an introduction to the basic concepts of Fourier series, including the definition of the Fourier series, convergence theorems, and the Gibbs phenomenon. Körner then develops the theory of Fourier transforms, covering topics such as the Fourier transform on the line, the Fourier transform on the circle, and the discrete Fourier transform. fourier analysis t w korner pdf
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