Question

Connections Between Fourier basis and Discrete Fourier Tansform

score 99 · Answer 1 · 2016-07-25 14:26:52

99

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Connections Between Fourier basis and Discrete Fourier Tansform

Published on 25 Jul 2016 - 14:26

score 146 · Answer 2 · 2016-07-28 11:05:36

146

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Why Fourier transform is not sufficient and we have to use Laplace transform?

Published on 28 Jul 2016 - 11:05

score 653 · Answer 3 · 2016-07-29 05:27:47

653

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Prove there is only finitely many Fourier coefficients of f that are non-zero

Published on 29 Jul 2016 - 5:27

score 1.1k · Answer 4 · 2026-03-25 19:01:04

1.1k

Views

Fourier Transform Motivation/Derivation

Published on 25 Mar 2026 - 19:01

score 340 · Answer 5 · 2016-07-31 23:34:12

340

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Are sinusoidal functions of the same frequency, but out of phase, always orthognal?

Published on 31 Jul 2016 - 23:34

score 59 · Answer 6 · 2016-08-02 19:44:08

59

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Show a function is in $H^s(\mathbb{R}^n)$

Published on 02 Aug 2016 - 19:44

score 2.2k · Answer 7 · 2026-03-25 10:52:23

2.2k

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Why do non-orthogonal basis functions encode 'redundant' information in transforms?

Published on 25 Mar 2026 - 10:52

score 194 · Answer 8 · 2016-08-07 19:46:18

194

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Do function with a fast decaying tails have an oscillating Fourier transform?

Published on 07 Aug 2016 - 19:46

score 158 · Answer 9 · 2016-08-08 11:26:31

158

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Using the fourier transform of f(x) to find an integral

Published on 08 Aug 2016 - 11:26

score 546 · Answer 10 · 2016-08-08 18:06:13

546

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fourier transform pair

Published on 08 Aug 2016 - 18:06

score 80 · Answer 11 · 2016-08-09 13:57:27

80

Views

If $f \in L^2(\mathbb{R}^2)$ has $\sum_{j=1}^n \xi_j \hat{f}(\xi) \in L^2$, does that imply that $f \in H^1(\mathbb{R}^n)$?

Published on 09 Aug 2016 - 13:57

score 358 · Answer 12 · 2026-03-25 22:05:05

358

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How to compute $p(x)=\prod_{k=0}^{n-1}(x-z_k)$ using the FFT with complexity of O(nlog^2 n)?

Published on 25 Mar 2026 - 22:05

score 846 · Answer 13 · 2016-08-10 00:27:57

846

Views

Fourier Transform is continuous on Schwartz space

Published on 10 Aug 2016 - 0:27

score 148 · Answer 14 · 2026-03-29 12:47:24

148

Views

Help with calculating Fourier transform of $\left(\frac{x-i}{x+i}\right)^{n}\cdot \frac{1}{(x^2+1)^{s}}$

Published on 29 Mar 2026 - 12:47

score 1.7k · Answer 15 · 2016-08-12 16:38:10

1.7k

Views

Verify my understanding of a math joke.

Published on 12 Aug 2016 - 16:38

List Question

Connections Between Fourier basis and Discrete Fourier Tansform

Why Fourier transform is not sufficient and we have to use Laplace transform?

Prove there is only finitely many Fourier coefficients of f that are non-zero

Fourier Transform Motivation/Derivation

Are sinusoidal functions of the same frequency, but out of phase, always orthognal?

Show a function is in $H^s(\mathbb{R}^n)$

Why do non-orthogonal basis functions encode 'redundant' information in transforms?

Do function with a fast decaying tails have an oscillating Fourier transform?

Using the fourier transform of f(x) to find an integral

fourier transform pair

If $f \in L^2(\mathbb{R}^2)$ has $\sum_{j=1}^n \xi_j \hat{f}(\xi) \in L^2$, does that imply that $f \in H^1(\mathbb{R}^n)$?

How to compute $p(x)=\prod_{k=0}^{n-1}(x-z_k)$ using the FFT with complexity of O(nlog^2 n)?

Fourier Transform is continuous on Schwartz space

Help with calculating Fourier transform of $\left(\frac{x-i}{x+i}\right)^{n}\cdot \frac{1}{(x^2+1)^{s}}$

Verify my understanding of a math joke.

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