Question

Prove a function's nth derivative is bounded by a function iff its Fourier transformation is

score 289 · Answer 1 · 2026-04-13 06:22:16

289

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Prove a function's nth derivative is bounded by a function iff its Fourier transformation is

Published on 13 Apr 2026 - 6:22

score 2.3k · Answer 2 · 2026-04-13 18:30:55

2.3k

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Fourier series or Fourier transform for approximating data

Published on 13 Apr 2026 - 18:30

score 44 · Answer 3 · 2026-04-10 17:54:20

44

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Is my Fourier Transform of this function correct?

Published on 10 Apr 2026 - 17:54

score 64 · Answer 4 · 2026-04-10 18:04:07

64

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Large-Frequency Fourier Transforms

Published on 10 Apr 2026 - 18:04

score 2.2k · Answer 5 · 2026-04-12 21:35:37

2.2k

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Fourier transform of $e^{-t}\cos(t)$

Published on 12 Apr 2026 - 21:35

score 205 · Answer 6 · 2026-04-14 03:32:22

205

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Why do we need Laplace Transforms?

Published on 14 Apr 2026 - 3:32

score 619 · Answer 7 · 2026-04-16 07:47:39

619

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Proving that : $ \left|\int_a^b\frac{\widehat{f}(\xi)}{\xi}d\xi\right|\le 4 \|f\|_1$ for all $a,b$ and all $f$

Published on 16 Apr 2026 - 7:47

score 535 · Answer 8 · 2026-04-12 12:28:57

535

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What assumptions are necessary for the Fourier transform to exist?

Published on 12 Apr 2026 - 12:28

score 449 · Answer 9 · 2026-04-15 07:50:36

449

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Fourier inversion for $f \in L^p(\mathbb R^n)$ and $\hat f \in L^1(\mathbb R^n)$ , where $1<p<2$

Published on 15 Apr 2026 - 7:50

score 1.9k · Answer 10 · 2026-04-11 00:55:12

1.9k

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Littlewood-Paley decomposition

Published on 11 Apr 2026 - 0:55

score 79 · Answer 11 · 2026-04-13 13:47:32

79

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Windowed Fourier Transform

Published on 13 Apr 2026 - 13:47

score 1.2k · Answer 12 · 2026-04-12 10:48:28

1.2k

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Is there a real representation of the Fourier transform?

Published on 12 Apr 2026 - 10:48

score 73 · Answer 13 · 2026-04-11 04:33:06

73

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Finding the DFT of a signal when given another and its DFT?

Published on 11 Apr 2026 - 4:33

score 296 · Answer 14 · 2026-04-16 11:09:43

296

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Well-defined ness of defining Fourier transform of functions in $L^p$ ,for $1<p<2$, by decomposing as a sum of $L^1$ and$L^2$ functions

Published on 16 Apr 2026 - 11:09

score 39 · Answer 15 · 2026-04-14 21:15:48

39

Views

Equivalence of sequence approximation and sum decomposition definition of Fourier transform

Published on 14 Apr 2026 - 21:15

List Question

Prove a function's nth derivative is bounded by a function iff its Fourier transformation is

Fourier series or Fourier transform for approximating data

Is my Fourier Transform of this function correct?

Large-Frequency Fourier Transforms

Fourier transform of $e^{-t}\cos(t)$

Why do we need Laplace Transforms?

Proving that : $ \left|\int_a^b\frac{\widehat{f}(\xi)}{\xi}d\xi\right|\le 4 \|f\|_1$ for all $a,b$ and all $f$

What assumptions are necessary for the Fourier transform to exist?

Fourier inversion for $f \in L^p(\mathbb R^n)$ and $\hat f \in L^1(\mathbb R^n)$ , where $1<p<2$

Littlewood-Paley decomposition

Windowed Fourier Transform

Is there a real representation of the Fourier transform?

Finding the DFT of a signal when given another and its DFT?

Well-defined ness of defining Fourier transform of functions in $L^p$ ,for $1<p<2$, by decomposing as a sum of $L^1$ and$L^2$ functions

Equivalence of sequence approximation and sum decomposition definition of Fourier transform

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