| 11. | More advanced applications include power series and Fourier series.
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| 12. | The DTFT is the mathematical dual of the time-domain Fourier series.
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| 13. | Fourier series are used to solve boundary value problems in partial differential equations.
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| 14. | The Clausen function also has the Fourier series representation:
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| 15. | This connection is apparent from the Fourier series representations of the Bernoulli polynomials:
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| 16. | A more abstract concept than Fourier series is the idea of Fourier transform.
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| 17. | However, the Fourier series of a continuous function need not converge pointwise.
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| 18. | :: You're thinking of Fourier series.
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| 19. | The importance of the Dirichlet kernel comes from its relation to Fourier series.
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| 20. | In particular, we obtain the following result in the theory of Fourier series:
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