List questions from fourier-series

Published on 25 Jan 2019 - 16:21

147

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Proof of Discrete Fourier Series Integration Property

Published on 26 Jan 2019 - 19:08

802

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Fourier series: conjugate symmetry

Published on 27 Jan 2019 - 6:54

42

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Special case in power series

Published on 27 Jan 2019 - 13:21

55

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Don't understand an integral with complex numbers.

Published on 27 Jan 2019 - 13:57

5.3k

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Fourier coefficients of $x(\pi-x)$ on $(0,\pi)$

Published on 27 Jan 2019 - 21:56

48

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Sum of a speciale series

Published on 27 Jan 2019 - 22:34

502

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Using Fourier series to calculate infinite sums.

Published on 28 Jan 2019 - 19:06

352

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Convergence of Fourier series in $\alpha$-Hölder norm.

Published on 25 Mar 2026 - 1:18

46

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Using Parserval's identity in a Fourier series

Published on 30 Jan 2019 - 0:11

799

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Convergence of the series $\sum_{n\neq0} \frac{e^{inx}}{n}$ Using Dirichlet's test.

Published on 30 Jan 2019 - 3:51

731

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Computing $\sum_{n = 1}^{+ \infty} \frac{1}{n^2 + 1}$ using Fourier series.

Published on 30 Jan 2019 - 15:45

80

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Is $K_t :\mathbb{T}\to\mathbb{C}, s\mapsto\sum_{n∈\mathbb{Z}}e^{-n^2 t}e^{ins}$ a summability kernel for $t\to 0^+$?

Published on 25 Mar 2026 - 1:16

33

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Is there a way to read a summability property of a family of functions from the behavior of coefficients of the corresponding Fourier transform?

Published on 25 Mar 2026 - 7:17

952

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Calculating the fourier series of $f(t)=|t|$

Published on 31 Jan 2019 - 9:51

List Question

Expand $\cos(x)$ in odd Fourier series.

Proof of Discrete Fourier Series Integration Property

Fourier series: conjugate symmetry

Special case in power series

Don't understand an integral with complex numbers.

Fourier coefficients of $x(\pi-x)$ on $(0,\pi)$

Sum of a speciale series

Using Fourier series to calculate infinite sums.

Convergence of Fourier series in $\alpha$-Hölder norm.

Using Parserval's identity in a Fourier series

Convergence of the series $\sum_{n\neq0} \frac{e^{inx}}{n}$ Using Dirichlet's test.

Computing $\sum_{n = 1}^{+ \infty} \frac{1}{n^2 + 1}$ using Fourier series.

Is $K_t :\mathbb{T}\to\mathbb{C}, s\mapsto\sum_{n∈\mathbb{Z}}e^{-n^2 t}e^{ins}$ a summability kernel for $t\to 0^+$?

Is there a way to read a summability property of a family of functions from the behavior of coefficients of the corresponding Fourier transform?

Calculating the fourier series of $f(t)=|t|$

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