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Fourier Analysis

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Part of the Graduate Texts in Mathematics book series (GTM,volume 282)


This chapter uses Hilbert space theory to motivate the introduction of Fourier coefficients and Fourier series. The classical setting applies these concepts to functions defined on bounded intervals of the real line. However, the theory becomes easier and cleaner when we instead use a modern approach by considering functions defined on the unit circle of the complex plane.

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© 2020 Sheldon Axler

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Axler, S. (2020). Fourier Analysis. In: Measure, Integration & Real Analysis. Graduate Texts in Mathematics, vol 282. Springer, Cham.

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