Question

Use Riemann-Lebesgue Lemma to show the pointwise convergence of a partial sum

score 312 · Answer 1 · 2026-04-01 03:09:58

312

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Use Riemann-Lebesgue Lemma to show the pointwise convergence of a partial sum

Published on 01 Apr 2026 - 3:09

score 20 · Answer 2 · 2020-02-06 10:39:15

20

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Query about understanding the formulae which gives the Fourier series coefficients.

Published on 06 Feb 2020 - 10:39

score 27 · Answer 3 · 2020-02-06 11:30:49

27

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Query about summation in derivation of complex fourier series

Published on 06 Feb 2020 - 11:30

score 62 · Answer 4 · 2026-04-01 19:03:08

62

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Show that $S_{n}(\sigma_{n}f)=\sigma_{n}(f)$ where $\sigma_{n}(f)=\dfrac{1}{n+1}(S_{0}f+\cdots+S_{n}f)$.

Published on 01 Apr 2026 - 19:03

score 1.5k · Answer 5 · 2020-02-09 15:34:47

1.5k

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Sketch each function and determine its Fourier series. $f(x)=x,\, 1<x<2$

Published on 09 Feb 2020 - 15:34

score 827 · Answer 6 · 2020-02-11 03:05:23

827

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$\sum_{n=1}^{\infty}\frac{\cos(nx)}{\sqrt{n}}$ Fourier series

Published on 11 Feb 2020 - 3:05

score 247 · Answer 7 · 2026-03-26 23:11:03

247

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Finding the infinite sum of a Fourier Series at a given $x$

Published on 26 Mar 2026 - 23:11

score 228 · Answer 8 · 2020-02-17 10:10:01

228

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Expand a function in a Fourier Series

Published on 17 Feb 2020 - 10:10

score 61 · Answer 9 · 2020-02-17 14:01:31

61

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Show that there is a doble sided null sequence $(b_n)_{n \in \Bbb Z }$ s.t. doesn't exists $f\in L^1((-\pi,\pi])$ with $\hat f(n)=b_n$

Published on 17 Feb 2020 - 14:01

score 49 · Answer 10 · 2026-04-03 18:12:13

49

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Can someone verify this Fourier series calculation?

Published on 03 Apr 2026 - 18:12

score 689 · Answer 11 · 2020-02-18 19:36:39

689

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Find Fourier series of Indicator function

Published on 18 Feb 2020 - 19:36

score 276 · Answer 12 · 2026-03-25 12:21:15

276

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Question related to nested Fourier series representation of $h(s)=\frac{i s}{s^2-1}$

Published on 25 Mar 2026 - 12:21

score 117 · Answer 13 · 2020-02-19 17:09:42

117

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Question on Riemann Lebesgue lemma

Published on 19 Feb 2020 - 17:09

score 2.2k · Answer 14 · 2026-03-27 19:55:11

2.2k

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What does spectrum of sin(t) looks like in real life?

Published on 27 Mar 2026 - 19:55

score 248 · Answer 15 · 2020-02-21 17:46:48

248

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Find the sums of the series $ S_1=\sum_{k=1}^\infty\frac{\cos^2 kx}{k^2}$ and $S_2=\sum_{k=1}^\infty\frac{\sin^2 kx}{k^2} $

Published on 21 Feb 2020 - 17:46

List Question

Use Riemann-Lebesgue Lemma to show the pointwise convergence of a partial sum

Query about understanding the formulae which gives the Fourier series coefficients.

Query about summation in derivation of complex fourier series

Show that $S_{n}(\sigma_{n}f)=\sigma_{n}(f)$ where $\sigma_{n}(f)=\dfrac{1}{n+1}(S_{0}f+\cdots+S_{n}f)$.

Sketch each function and determine its Fourier series. $f(x)=x,\, 1<x<2$

$\sum_{n=1}^{\infty}\frac{\cos(nx)}{\sqrt{n}}$ Fourier series

Finding the infinite sum of a Fourier Series at a given $x$

Expand a function in a Fourier Series

Show that there is a doble sided null sequence $(b_n)_{n \in \Bbb Z }$ s.t. doesn't exists $f\in L^1((-\pi,\pi])$ with $\hat f(n)=b_n$

Can someone verify this Fourier series calculation?

Find Fourier series of Indicator function

Question related to nested Fourier series representation of $h(s)=\frac{i s}{s^2-1}$

Question on Riemann Lebesgue lemma

What does spectrum of sin(t) looks like in real life?

Find the sums of the series $ S_1=\sum_{k=1}^\infty\frac{\cos^2 kx}{k^2}$ and $S_2=\sum_{k=1}^\infty\frac{\sin^2 kx}{k^2} $

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