List questions from fourier-series

Published on 25 Mar 2026 - 9:33

41

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$L^\infty$ bound of an operator on Fourier series or eigenfunction series

Published on 27 Mar 2026 - 1:45

41

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Fourier Transform of impulse train

Published on 07 Apr 2026 - 16:44

67

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Obtain $L^\infty$ estimate of Poisson Equation only using eigenfunction expansion

Published on 26 Mar 2026 - 16:23

96

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Find $\min \sum |a_n|$ when $\sum |a_n|^2 = 1$ and $\sum |a_n|^4 = \lambda$ (Katznelson's Ex $4.1.2.$)

Published on 04 Apr 2026 - 4:20

41

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Error with Fourier Transform

Published on 08 Apr 2026 - 22:37

33

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Decay of Fourier coefficients of a smooth family of functions

Published on 07 Dec 2023 - 19:05

12

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Relation between the modulus of continuity and the tail sum - Boundedness

Published on 12 Dec 2023 - 0:35

66

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Analytic continuation possible here?

Published on 26 Mar 2026 - 18:57

40

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Fourier expansion of a piecewise function and writing the result as a summation?

Published on 13 Dec 2023 - 21:36

48

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Finding the Fourier Coefficients for a piecewise function of sin

Published on 01 Apr 2026 - 2:04

66

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Si function on Gibbs phenomenon

Published on 09 Apr 2026 - 5:39

87

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Does fourier series for $f(x)=\begin{cases}-1\ \text{for}\ x \in (-\pi, 0) \\0 \ \text{for}\ x=0 \\ 1 \ \text{for} \ x\in (0,\pi)\end{cases}$ converge

Published on 24 Feb 2026 - 21:02

61

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Fourier Transform as limit case of Fourier Series in $sin$ and $rect$ functions

Published on 30 Mar 2026 - 22:14

65

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The proof of decay rate of Fourier coefficients

Published on 22 Dec 2023 - 19:10

List Question

Why does the summation symbol disappear?

$L^\infty$ bound of an operator on Fourier series or eigenfunction series

Fourier Transform of impulse train

Obtain $L^\infty$ estimate of Poisson Equation only using eigenfunction expansion

Find $\min \sum |a_n|$ when $\sum |a_n|^2 = 1$ and $\sum |a_n|^4 = \lambda$ (Katznelson's Ex $4.1.2.$)

Error with Fourier Transform

Decay of Fourier coefficients of a smooth family of functions

Relation between the modulus of continuity and the tail sum - Boundedness

Analytic continuation possible here?

Fourier expansion of a piecewise function and writing the result as a summation?

Finding the Fourier Coefficients for a piecewise function of sin

Si function on Gibbs phenomenon

Does fourier series for $f(x)=\begin{cases}-1\ \text{for}\ x \in (-\pi, 0) \\0 \ \text{for}\ x=0 \\ 1 \ \text{for} \ x\in (0,\pi)\end{cases}$ converge

Fourier Transform as limit case of Fourier Series in $sin$ and $rect$ functions

The proof of decay rate of Fourier coefficients

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