Question

$L^\infty$ bound on smooth compactly supported function using Fourier transform

score 237 · Answer 1 · 2026-04-10 21:51:04

237

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$L^\infty$ bound on smooth compactly supported function using Fourier transform

Published on 10 Apr 2026 - 21:51

score 81 · Answer 2 · 2026-04-09 22:47:15

81

Views

How does inversion look like for the Fourier transform of a measure?

Published on 09 Apr 2026 - 22:47

score 93 · Answer 3 · 2026-04-15 02:26:55

93

Views

Imposing Condition on a Cauchy Product

Published on 15 Apr 2026 - 2:26

score 295 · Answer 4 · 2026-04-17 02:46:18

295

Views

Prove that the sequence $cos(nx+a_n)$ can not tend to $0$ for all x on a set of positive measure E

Published on 17 Apr 2026 - 2:46

score 218 · Answer 5 · 2026-04-14 13:18:16

218

Views

How to obtain an inverse integral transform for $F(q) = \int_0^R \chi(t) \sin qt \, \mathrm{d}t$ provided that $\chi$ is an odd function?

Published on 14 Apr 2026 - 13:18

score 399 · Answer 6 · 2026-04-09 23:45:23

399

Views

Cauchy Product of Fourier Series with itself

Published on 09 Apr 2026 - 23:45

score 166 · Answer 7 · 2026-04-15 03:42:29

166

Views

What does $l^p$-summability of Fourier coefficients imply about $L^q$-integrability?

Published on 15 Apr 2026 - 3:42

score 47 · Answer 8 · 2026-04-10 12:09:00

47

Views

Computing a distribution sum

Published on 10 Apr 2026 - 12:09

score 55 · Answer 9 · 2026-04-08 17:39:40

55

Views

Fourier series for $|x|$ not in complex form

Published on 08 Apr 2026 - 17:39

score 199 · Answer 10 · 2026-04-10 02:41:51

199

Views

Fourier series of $\cos^3 2x$ not in complex form

Published on 10 Apr 2026 - 2:41

score 1.5k · Answer 11 · 2026-04-13 19:13:44

1.5k

Views

Calculate the nth Fourier transform of the Fejer kernel, i.e., $N\int\Big(\frac{\sin \pi xN}{\pi xN}\Big)^2 e^{-2\pi ixn}dx$

Published on 13 Apr 2026 - 19:13

score 555 · Answer 12 · 2026-04-15 10:53:18

555

Views

If a function is compactly supported, then its Fourier series converge?

Published on 15 Apr 2026 - 10:53

score 318 · Answer 13 · 2026-04-16 09:11:22

318

Views

Prove the formula of the area of a unit sphere $A_d=\frac{2\pi^{d/2}}{\Gamma (d/2)}$

Published on 16 Apr 2026 - 9:11

score 163 · Answer 14 · 2026-04-14 08:10:22

163

Views

Fourier series, Fourier transform for $f(t)=\cos{t}$ - amplitude spectrum vs. frequency spectrum vs. power density spectrum

Published on 14 Apr 2026 - 8:10

score 56 · Answer 15 · 2026-04-14 05:28:52

56

Views

Finding a Fourier Serie from uniform converge

Published on 14 Apr 2026 - 5:28

List Question

$L^\infty$ bound on smooth compactly supported function using Fourier transform

How does inversion look like for the Fourier transform of a measure?

Imposing Condition on a Cauchy Product

Prove that the sequence $cos(nx+a_n)$ can not tend to $0$ for all x on a set of positive measure E

How to obtain an inverse integral transform for $F(q) = \int_0^R \chi(t) \sin qt \, \mathrm{d}t$ provided that $\chi$ is an odd function?

Cauchy Product of Fourier Series with itself

What does $l^p$-summability of Fourier coefficients imply about $L^q$-integrability?

Computing a distribution sum

Fourier series for $|x|$ not in complex form

Fourier series of $\cos^3 2x$ not in complex form

Calculate the nth Fourier transform of the Fejer kernel, i.e., $N\int\Big(\frac{\sin \pi xN}{\pi xN}\Big)^2 e^{-2\pi ixn}dx$

If a function is compactly supported, then its Fourier series converge?

Prove the formula of the area of a unit sphere $A_d=\frac{2\pi^{d/2}}{\Gamma (d/2)}$

Fourier series, Fourier transform for $f(t)=\cos{t}$ - amplitude spectrum vs. frequency spectrum vs. power density spectrum

Finding a Fourier Serie from uniform converge

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