List questions from fourier-series

Published on 09 Oct 2023 - 9:24

84

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Sequence not corresponding to any Fourier coefficients of a function in $L^1(\mathbb T)$

Published on 09 Oct 2023 - 10:28

36

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Show that it is consistent with Fourier series

Published on 23 Feb 2026 - 16:22

102

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Fourier-Bessel series with different argument

Published on 30 Mar 2026 - 23:22

21

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Integrability of a a.e. convergent Fourier sum

Published on 10 Oct 2023 - 19:14

123

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What is the Fourier series for $\sqrt{1-x^2}$ from $0$ to $1$?

Published on 30 Mar 2026 - 20:59

38

Views

Counterexample to inverse Hausdorff-Young on the torus

Published on 08 Apr 2026 - 13:01

79

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How can an exponential Fourier Series model a real function f(x) if the series contains imaginary numbers??

Published on 25 Mar 2026 - 22:06

53

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Fourier expansion of $f(x)^{-1/2}$ given that of $f(x)$?

Published on 01 Apr 2026 - 21:08

90

Views

Using average to approximate the integral of a periodic function

Published on 14 Oct 2023 - 14:35

58

Views

$f \in \mathcal C^1(\Bbb T)$ whose Fourier series does not converge to $f$ in the norm of $\mathcal C^1(\Bbb T)$

Published on 15 Oct 2023 - 8:19

74

Views

Why is the Discrete Fourier series a sum from $0$ to $N - 1$?

Published on 23 Feb 2026 - 4:56

36

Views

What are the Fourier coefficients of multiplying a function with the derivative of another function?

Published on 16 Oct 2023 - 19:59

109

Views

Eigenvalue problem- (Fourier Collocation Method)

Published on 26 Mar 2026 - 22:12

479

Views

How do i plot a square wave in Desmos

Published on 26 Mar 2026 - 0:58

List Question

Convergence of $\sum_{n\geq 1} \frac{e^{i n x}}{n}$

Sequence not corresponding to any Fourier coefficients of a function in $L^1(\mathbb T)$

Show that it is consistent with Fourier series

Fourier-Bessel series with different argument

Integrability of a a.e. convergent Fourier sum

What is the Fourier series for $\sqrt{1-x^2}$ from $0$ to $1$?

Counterexample to inverse Hausdorff-Young on the torus

How can an exponential Fourier Series model a real function f(x) if the series contains imaginary numbers??

Fourier expansion of $f(x)^{-1/2}$ given that of $f(x)$?

Using average to approximate the integral of a periodic function

$f \in \mathcal C^1(\Bbb T)$ whose Fourier series does not converge to $f$ in the norm of $\mathcal C^1(\Bbb T)$

Why is the Discrete Fourier series a sum from $0$ to $N - 1$?

What are the Fourier coefficients of multiplying a function with the derivative of another function?

Eigenvalue problem- (Fourier Collocation Method)

How do i plot a square wave in Desmos

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