Question

Approximation of Heaviside function

score 214 · Answer 1 · 2026-04-29 07:29:27

214

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Approximation of Heaviside function

Published on 29 Apr 2026 - 7:29

score 149 · Answer 2 · 2026-04-14 03:25:42

149

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How to calculate $\sum_{n=1}^{\infty}\frac{1}{n^6}$ using the Fourier series of $f(x)=x$ and $g(x)=x^2$ in $[-\pi,\pi]$?

Published on 14 Apr 2026 - 3:25

score 122 · Answer 3 · 2026-04-12 01:05:41

122

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Can we think of the Fourier series as a Bochner integral?

Published on 12 Apr 2026 - 1:05

score 194 · Answer 4 · 2026-04-17 07:47:54

194

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Evaluate the limit of $(1/n)( \sin (\phi/n) + \sin (2\phi/n) + … + \sin ((n-1)\phi/n))$

Published on 17 Apr 2026 - 7:47

score 484 · Answer 5 · 2026-04-12 00:36:36

484

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Problem with Legendre-Fourier series for sinx when the number of terms approaches infinity

Published on 12 Apr 2026 - 0:36

score 675 · Answer 6 · 2026-04-13 00:13:49

675

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Partial sum of Fourier series

Published on 13 Apr 2026 - 0:13

score 54 · Answer 7 · 2026-04-12 13:36:09

54

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Fourier series: Proof of orthonormality and complex coefficients

Published on 12 Apr 2026 - 13:36

score 48 · Answer 8 · 2026-04-18 09:50:19

48

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Why doesn't proving $f\in L^2(S^1)$ can be expanded into a Fourier series imply pointwise convergence of continuous functions?

Published on 18 Apr 2026 - 9:50

score 99 · Answer 9 · 2026-04-16 00:41:22

99

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Uniform convergence and Poisson sum

Published on 16 Apr 2026 - 0:41

score 224 · Answer 10 · 2026-04-13 02:59:31

224

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Solving Laplace equation in the center of a square

Published on 13 Apr 2026 - 2:59

score 220 · Answer 11 · 2026-04-14 06:58:48

220

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converting a mixed boundry conditions to Dirichlet's\Neumann B.C heat equation

Published on 14 Apr 2026 - 6:58

score 175 · Answer 12 · 2026-04-15 09:27:01

175

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$\sum_{n=1}^{\infty}\frac{(-1)^n}{16n^2-1}$

Published on 15 Apr 2026 - 9:27

score 53 · Answer 13 · 2026-04-15 08:25:04

53

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Can you approximate $\cos(x)$ on $\mathbb{R}$ in the space of periodic sawtooth functions?

Published on 15 Apr 2026 - 8:25

score 66 · Answer 14 · 2026-04-13 23:26:11

66

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Proving series converges using Fourier series

Published on 13 Apr 2026 - 23:26

score 85 · Answer 15 · 2026-04-16 19:01:40

85

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Show that $|\hat{f_n}| \leq \frac{C}{|n|}$ for all $n \in \mathbb{Z} \backslash \{0\}$ for a Lipschitz-continuous $f$

Published on 16 Apr 2026 - 19:01

List Question

Approximation of Heaviside function

How to calculate $\sum_{n=1}^{\infty}\frac{1}{n^6}$ using the Fourier series of $f(x)=x$ and $g(x)=x^2$ in $[-\pi,\pi]$?

Can we think of the Fourier series as a Bochner integral?

Evaluate the limit of $(1/n)( \sin (\phi/n) + \sin (2\phi/n) + … + \sin ((n-1)\phi/n))$

Problem with Legendre-Fourier series for sinx when the number of terms approaches infinity

Partial sum of Fourier series

Fourier series: Proof of orthonormality and complex coefficients

Why doesn't proving $f\in L^2(S^1)$ can be expanded into a Fourier series imply pointwise convergence of continuous functions?

Uniform convergence and Poisson sum

Solving Laplace equation in the center of a square

converting a mixed boundry conditions to Dirichlet's\Neumann B.C heat equation

$\sum_{n=1}^{\infty}\frac{(-1)^n}{16n^2-1}$

Can you approximate $\cos(x)$ on $\mathbb{R}$ in the space of periodic sawtooth functions?

Proving series converges using Fourier series

Show that $|\hat{f_n}| \leq \frac{C}{|n|}$ for all $n \in \mathbb{Z} \backslash \{0\}$ for a Lipschitz-continuous $f$

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