Question

Show $\sum_{n \in \mathbb Z} |\hat f(n)| \leq \frac{1}{\sqrt{2\pi}}||f||_1 + \frac{\pi}{\sqrt 3}||f'||_2$ for $f,f' \in L_\mathbb C ^2 [0. 2\pi] $

score 64 · Answer 1 · 2018-05-22 14:56:03

64

Views

Show $\sum_{n \in \mathbb Z} |\hat f(n)| \leq \frac{1}{\sqrt{2\pi}}||f||_1 + \frac{\pi}{\sqrt 3}||f'||_2$ for $f,f' \in L_\mathbb C ^2 [0. 2\pi] $

Published on 22 May 2018 - 14:56

score 1.1k · Answer 2 · 2026-03-25 19:05:59

1.1k

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score 50 · Answer 3 · 2018-05-24 11:20:05

50

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score 1.8k · Answer 4 · 2026-03-25 19:02:46

1.8k

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score 32 · Answer 5 · 2026-03-25 01:16:52

32

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score 124 · Answer 6 · 2018-05-25 00:55:42

124

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Published on 25 May 2018 - 0:55

score 33 · Answer 7 · 2026-03-25 19:11:12

33

Views

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score 204 · Answer 8 · 2018-05-27 13:00:17

204

Views

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score 188 · Answer 9 · 2026-03-25 10:52:33

188

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score 1.9k · Answer 10 · 2018-05-28 08:23:40

1.9k

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score 965 · Answer 11 · 2018-05-28 14:09:40

965

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score 226 · Answer 12 · 2018-05-28 15:01:20

226

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score 67 · Answer 13 · 2018-05-28 15:28:10

67

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score 451 · Answer 14 · 2018-05-28 20:35:45

451

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score 4.8k · Answer 15 · 2026-03-20 06:30:53

4.8k

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List Question

Show $\sum_{n \in \mathbb Z} |\hat f(n)| \leq \frac{1}{\sqrt{2\pi}}||f||_1 + \frac{\pi}{\sqrt 3}||f'||_2$ for $f,f' \in L_\mathbb C ^2 [0. 2\pi] $

Inverse Fourier Transform of the Cauchy distribution

Error in proof of Fourier rotation theorem

"Direct" proof of Bochner's theorem for integrable characteristic functions?

Coefficients of function on finite abelian group

Proof of the phase of the Fourier Transform

What overarching term would include use of a Fourier transform, other similar integral transforms, and their discrete counterparts?

Prove that a Fourier transform of a function $f(t)$ with period $a$ is zero $(F(ω)=0) $(+ another question)

Inner product of a convolution with a test function

Fourier transform of function $f(x)$

What is the fourier transform of $e^{-\frac{t^2}2}$

Fourier: Zero expansion of Cosine

FT of particular radial function in $\mathbb{R}^3$

Evaluate integral using Fourier transform

Laplace equation with non-homogeneous boundary conditions

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