List questions from fourier-series

Published on 08 Nov 2018 - 23:49

138

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Completeness of $\{\sin nx \}$ over $(0, \pi)$

Published on 09 Nov 2018 - 2:10

558

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Dirichlet problem on half circle

Published on 09 Nov 2018 - 23:54

1.1k

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If a function is extended to make it periodic then must the integration limits also be extended?

Published on 11 Nov 2018 - 0:06

337

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Norm of Fourier Sum operator $S_n$ on $\mathcal{L}^1$

Published on 25 Mar 2026 - 8:10

169

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Confusion on the Coefficient Formulas for Fourier Series

Published on 25 Mar 2026 - 6:21

35

Views

Solving the sin expansion of a function

Published on 11 Nov 2018 - 23:33

177

Views

Inequality on Fourier transform of indicator function

Published on 12 Nov 2018 - 3:22

454

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Why does this method fail for finding the Fourier series for $\cos\left(\frac{x}{2}\right)$ on the interval $-\pi \lt x \lt \pi$?

Published on 13 Nov 2018 - 0:40

115

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Interesting proofs of this sum

Published on 13 Nov 2018 - 8:16

82

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Discrete Fourier transform of exp(i k |m|)

Published on 25 Mar 2026 - 23:16

63

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G(k,X) is a modular form of weight k and character X

Published on 20 Mar 2026 - 5:30

128

Views

Minimizing an Integral related to Fourier Series

Published on 14 Nov 2018 - 23:38

492

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No convolution Identity element in $L^1_{per} $ using Fourier series

Published on 26 Mar 2026 - 2:58

297

Views

Is the function in the $L^2$-sobolev space $H^{\frac{1}{2}} \ [- \pi, \pi]$ of order 1?

Published on 16 Nov 2018 - 0:41

List Question

Fourier coefficients, polar coordinate simplification

Completeness of $\{\sin nx \}$ over $(0, \pi)$

Dirichlet problem on half circle

If a function is extended to make it periodic then must the integration limits also be extended?

Norm of Fourier Sum operator $S_n$ on $\mathcal{L}^1$

Confusion on the Coefficient Formulas for Fourier Series

Solving the sin expansion of a function

Inequality on Fourier transform of indicator function

Why does this method fail for finding the Fourier series for $\cos\left(\frac{x}{2}\right)$ on the interval $-\pi \lt x \lt \pi$?

Interesting proofs of this sum

Discrete Fourier transform of exp(i k |m|)

G(k,X) is a modular form of weight k and character X

Minimizing an Integral related to Fourier Series

No convolution Identity element in $L^1_{per} $ using Fourier series

Is the function in the $L^2$-sobolev space $H^{\frac{1}{2}} \ [- \pi, \pi]$ of order 1?

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