Question

All smooth periodic functions with bounded derivatives

score 508 · Answer 1 · 2026-04-14 01:15:12

508

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All smooth periodic functions with bounded derivatives

Published on 14 Apr 2026 - 1:15

score 127 · Answer 2 · 2026-04-12 16:00:45

127

Views

Infinite sum of square root

Published on 12 Apr 2026 - 16:00

score 168 · Answer 3 · 2026-04-15 05:14:05

168

Views

Solve $f''+\lambda f'=g$ with Fourier series.

Published on 15 Apr 2026 - 5:14

score 57 · Answer 4 · 2026-04-14 21:38:38

57

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Find the Fourier series of $f$ in terms of the Fourier coeficients of $g$ and prove that converges everywhere.

Published on 14 Apr 2026 - 21:38

score 184 · Answer 5 · 2026-04-11 09:39:03

184

Views

Solving a PDE using a Fourier basis function

Published on 11 Apr 2026 - 9:39

score 68 · Answer 6 · 2026-04-12 05:34:30

68

Views

Books on parametrization of closed curves

Published on 12 Apr 2026 - 5:34

score 164 · Answer 7 · 2026-04-17 11:05:25

164

Views

Find Fourier sine series

Published on 17 Apr 2026 - 11:05

score 72 · Answer 8 · 2026-04-24 11:06:21

72

Views

Fourier coefficient equal DFT coefficient for trigonometric functions

Published on 24 Apr 2026 - 11:06

score 63 · Answer 9 · 2026-05-04 18:17:30

63

Views

Can I know the Fourier coefficients of a function that uniformly converges? if so why is it?

Published on 04 May 2026 - 18:17

score 259 · Answer 10 · 2026-04-15 23:48:22

259

Views

(convolution) If f*g=g then g is a trigonometric polynomial

Published on 15 Apr 2026 - 23:48

score 234 · Answer 11 · 2026-04-24 12:33:20

234

Views

Positivity of Discrete Fourier Transform

Published on 24 Apr 2026 - 12:33

score 329 · Answer 12 · 2026-04-14 20:32:24

329

Views

Uniform boundedness of the partial Fourier sums of the sawtooth function

Published on 14 Apr 2026 - 20:32

score 61 · Answer 13 · 2026-04-15 21:53:33

61

Views

$f\in PC(2\pi)$ is such that $f'\in PC(2\pi)$. Then the Fourier series of $f$ converges uniformly absolutely to a continous function $g$.

Published on 15 Apr 2026 - 21:53

score 158 · Answer 14 · 2026-04-15 20:52:50

158

Views

Show that $\lim_{n\to \infty}\int_{-\pi}^{\pi}f(x)g(nx)\,dx=\frac{1}{2\pi}\int_{-\pi}^{\pi}f(x)\,dx\int_{-\pi}^{\pi}g(x)\,dx$

Published on 15 Apr 2026 - 20:52

score 36 · Answer 15 · 2026-04-15 02:57:07

36

Views

Question about $\frac{1}{\pi} \int_{-\pi}^{\pi} te^{int} dt$ to $\frac{-2i(-1)^{n}}{n}$.

Published on 15 Apr 2026 - 2:57

List Question

All smooth periodic functions with bounded derivatives

Infinite sum of square root

Solve $f''+\lambda f'=g$ with Fourier series.

Find the Fourier series of $f$ in terms of the Fourier coeficients of $g$ and prove that converges everywhere.

Solving a PDE using a Fourier basis function

Books on parametrization of closed curves

Find Fourier sine series

Fourier coefficient equal DFT coefficient for trigonometric functions

Can I know the Fourier coefficients of a function that uniformly converges? if so why is it?

(convolution) If f*g=g then g is a trigonometric polynomial

Positivity of Discrete Fourier Transform

Uniform boundedness of the partial Fourier sums of the sawtooth function

$f\in PC(2\pi)$ is such that $f'\in PC(2\pi)$. Then the Fourier series of $f$ converges uniformly absolutely to a continous function $g$.

Show that $\lim_{n\to \infty}\int_{-\pi}^{\pi}f(x)g(nx)\,dx=\frac{1}{2\pi}\int_{-\pi}^{\pi}f(x)\,dx\int_{-\pi}^{\pi}g(x)\,dx$

Question about $\frac{1}{\pi} \int_{-\pi}^{\pi} te^{int} dt$ to $\frac{-2i(-1)^{n}}{n}$.

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