List questions from fourier-series

Published on 09 Apr 2026 - 14:56

59

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Is $f= \sum c_n \phi_n(x)$ in baby Rudin 8.11?

Published on 22 Mar 2024 - 18:56

27

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Connection between the sawtooth Fourier series and the Euler-Mascheroni constant?

Published on 26 Mar 2026 - 4:30

48

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Orthonormal basis of the Fourier Transform

Published on 28 Mar 2026 - 16:56

66

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The Connection between Fourier transform and Fourier series (derivation and Intuition)

Published on 09 Apr 2026 - 15:06

35

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Fourier series?

Published on 09 Apr 2026 - 16:19

160

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Rudin PMA theorem 8.14.

Published on 30 Mar 2024 - 5:18

24

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Where did the sin(kx)/(kx) term in the two-point correlation function $\xi(x)$ come from?

Published on 29 Mar 2026 - 21:57

24

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Is this summation over Fourier coefficients a meaningful way to compute dot product despite its weaknesses? Or what is the better way to define it?

Published on 04 Apr 2026 - 13:47

48

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Is the function $f(x) = \sum_{n \geq 1} \tfrac{a_n}{n} \sin(n\pi x)$ absolutely continuous on $[0, 1]$?

Published on 23 Feb 2026 - 21:18

216

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Sum of $\sum_{n=1}^{\infty }\frac{1}{\pi n }\sin ^k\left(\frac{2\pi n}{k}\right)$

Published on 03 Jan 2015 - 10:51

29

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Why is $\|f-s_n(f)\|_2=\inf_{T\in\mathcal{T}_n}\|f-T\|_2$

Published on 05 Jan 2015 - 4:32

1.5k

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Does the phrase "orthogonal" mean the same thing when used in the terms "orthogonal function" and "orthogonal vector"?

Published on 05 Jan 2015 - 22:59

83

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Norm Inequality (Vinogradov Notation)

Published on 26 Mar 2026 - 9:39

268

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What is the Fourier Series of a piecewise constant wave?

Published on 07 Jan 2015 - 1:31

List Question

Prove $\sin(kx)/x$

Is $f= \sum c_n \phi_n(x)$ in baby Rudin 8.11?

Connection between the sawtooth Fourier series and the Euler-Mascheroni constant?

Orthonormal basis of the Fourier Transform

The Connection between Fourier transform and Fourier series (derivation and Intuition)

Fourier series?

Rudin PMA theorem 8.14.

Where did the sin(kx)/(kx) term in the two-point correlation function $\xi(x)$ come from?

Is this summation over Fourier coefficients a meaningful way to compute dot product despite its weaknesses? Or what is the better way to define it?

Is the function $f(x) = \sum_{n \geq 1} \tfrac{a_n}{n} \sin(n\pi x)$ absolutely continuous on $[0, 1]$?

Sum of $\sum_{n=1}^{\infty }\frac{1}{\pi n }\sin ^k\left(\frac{2\pi n}{k}\right)$

Why is $\|f-s_n(f)\|_2=\inf_{T\in\mathcal{T}_n}\|f-T\|_2$

Does the phrase "orthogonal" mean the same thing when used in the terms "orthogonal function" and "orthogonal vector"?

Norm Inequality (Vinogradov Notation)

What is the Fourier Series of a piecewise constant wave?

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