2. Fourier series development
For N 0, let ; DN is called the Dirichlet kernel of order N; this is what will govern the behavior of SN (f ), as shown by the following theorem, where f ∊ L1.
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Fourier series development
References
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(1) - DAVIS (P.) - Interpolation and approximation.
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(2) - KUIPERS (L.), NIEDERREITER (H.) - Uniform distribution of sequences. - Wiley-Interscience Series, 1974.
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(3) - ZYGMUND (A.) - Trigonometric Series, - Second Edition. Cambridge University Press, 1959.
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