Question

If $F(x) =f(x+1)-f(x-1)$ and $F\in C^k$, what can we say about the regularity of $f$?

score 91 · Answer 1 · 2026-04-19 06:01:49

91

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If $F(x) =f(x+1)-f(x-1)$ and $F\in C^k$, what can we say about the regularity of $f$?

Published on 19 Apr 2026 - 6:01

score 154 · Answer 2 · 2026-04-14 21:28:32

154

Views

Show that the PDE $v_t = v_{xx} + av_{x}$ is well posed

Published on 14 Apr 2026 - 21:28

score 115 · Answer 3 · 2026-04-13 01:17:47

115

Views

Can you decompose any random parametric curve with Fourier series?

Published on 13 Apr 2026 - 1:17

score 196 · Answer 4 · 2026-04-14 04:00:38

196

Views

Finding the Exponential Fourier coefficients for $ f(t)=\cos(t + \frac{\pi}{3})$

Published on 14 Apr 2026 - 4:00

score 59 · Answer 5 · 2026-04-30 02:19:04

59

Views

Notation in a Cauchy problem with boundary periodic conditions.

Published on 30 Apr 2026 - 2:19

score 45 · Answer 6 · 2026-04-12 12:37:16

45

Views

Question about Fourier series.

Published on 12 Apr 2026 - 12:37

score 25 · Answer 7 · 2026-04-12 18:37:09

25

Views

Doubling the argument in a Fourier series

Published on 12 Apr 2026 - 18:37

score 84 · Answer 8 · 2026-04-13 08:32:29

84

Views

Contradictory results from using orthogonality when solving an ODE with Fourier series.

Published on 13 Apr 2026 - 8:32

score 280 · Answer 9 · 2026-04-18 13:52:50

If the Fourier coefficient $\hat{f}(k)$ of $f\in C^1(\mathbb T)$ is zero for all $|k|<N$, then $\|f’\|_{L^\infty}\geq4N \|f\|_{L^\infty}$

score 130 · Answer 10 · 2026-04-11 18:52:24

130

Views

What are the fourier coefficients of the $ 2 \pi $ periodic function $f(x) = x$?

Published on 11 Apr 2026 - 18:52

score 73 · Answer 11 · 2026-04-14 12:54:44

73

Views

Please check the proof about uniform convergence of fourier series

Published on 14 Apr 2026 - 12:54

score 37 · Answer 12 · 2026-04-12 04:00:10

37

Views

Differentiating Fourier series where $f(-L) \ne f(L)$.

Published on 12 Apr 2026 - 4:00

score 84 · Answer 13 · 2026-04-30 03:15:37

84

Views

Should `fourier transform of real data` be complex data?

Published on 30 Apr 2026 - 3:15

score 43 · Answer 14 · 2026-04-14 13:23:53

43

Views

Piecewise Fourier series

Published on 14 Apr 2026 - 13:23

score 607 · Answer 15 · 2026-04-16 14:53:02

607

Views

Why does the fact that $f$ and $g$ have the same Fourier coefficients imply that $f=g\text{ a.e.} $

Published on 16 Apr 2026 - 14:53

List Question

If $F(x) =f(x+1)-f(x-1)$ and $F\in C^k$, what can we say about the regularity of $f$?

Show that the PDE $v_t = v_{xx} + av_{x}$ is well posed

Can you decompose any random parametric curve with Fourier series?

Finding the Exponential Fourier coefficients for $ f(t)=\cos(t + \frac{\pi}{3})$

Notation in a Cauchy problem with boundary periodic conditions.

Question about Fourier series.

Doubling the argument in a Fourier series

Contradictory results from using orthogonality when solving an ODE with Fourier series.

If the Fourier coefficient $\hat{f}(k)$ of $f\in C^1(\mathbb T)$ is zero for all $|k|<N$, then $\|f’\|_{L^\infty}\geq4N \|f\|_{L^\infty}$

What are the fourier coefficients of the $ 2 \pi $ periodic function $f(x) = x$?

Please check the proof about uniform convergence of fourier series

Differentiating Fourier series where $f(-L) \ne f(L)$.

Should `fourier transform of real data` be complex data?

Piecewise Fourier series

Why does the fact that $f$ and $g$ have the same Fourier coefficients imply that $f=g\text{ a.e.} $

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