Question

Fourier transform of $L^1(\Bbb{R})$ functions

score 55 · Answer 1 · 2026-04-12 17:59:02

55

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Fourier transform of $L^1(\Bbb{R})$ functions

Published on 12 Apr 2026 - 17:59

score 32 · Answer 2 · 2026-04-07 20:00:24

32

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How are high frequencies less present in discrete Fourier transforms?

Published on 07 Apr 2026 - 20:00

score 67 · Answer 3 · 2026-04-16 03:51:15

67

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It is always true that $ \int\limits_{-t_0}^{t_0} f(t)\,e^{-iwt}\,dt = 2\,\int\limits_{0}^{t_0} f(t)\,e^{-iwt}\,dt$??

Published on 16 Apr 2026 - 3:51

score 109 · Answer 4 · 2026-04-16 13:07:17

109

Views

Asymptotic answer of Fourier transform radially symmetric function with a ring of minimum

Published on 16 Apr 2026 - 13:07

score 158 · Answer 5 · 2026-04-13 20:27:06

158

Views

Which conditions must fulfill $f(t)$ to have an absolute-integrable Fourier Transform $F(w)$: $\int\limits_{-\infty}^\infty |F(w)| dw < \infty$?

Published on 13 Apr 2026 - 20:27

score 104 · Answer 6 · 2026-04-14 07:04:38

104

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why the finite Fourier sine transform use integral and the inverse use summation?

Published on 14 Apr 2026 - 7:04

score 108 · Answer 7 · 2026-04-13 23:11:52

108

Views

Are there functions $f(t)$ with $||f'(t)||_\infty < \infty$ such as their Fourier transform $F(w)$ makes $\int_{-\infty}^\infty|wF(w)|dw \to \infty$??

Published on 13 Apr 2026 - 23:11

score 373 · Answer 8 · 2026-04-14 03:46:54

373

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The periodization of the Dirichlet kernel on the real line (Stein & Shakarchi, Chapter 5, Ex #16)

Published on 14 Apr 2026 - 3:46

score 523 · Answer 9 · 2026-04-14 19:47:11

523

Views

DFT of the discrete function $f(x,y)=1$

Published on 14 Apr 2026 - 19:47

score 32 · Answer 10 · 2026-04-13 13:31:47

32

Views

Changing all sine to cosine would make the smoothness unaltered?

Published on 13 Apr 2026 - 13:31

score 64 · Answer 11 · 2026-04-25 00:12:49

64

Views

Using a sum in place of 1/s in a laplace transform transfer function - is this allowed?

Published on 25 Apr 2026 - 0:12

score 100 · Answer 12 · 2026-04-12 07:57:31

100

Views

Exercise involving DFT

Published on 12 Apr 2026 - 7:57

score 129 · Answer 13 · 2026-04-12 16:30:09

129

Views

How to evaluate $ \int_{0}^{\infty} xe^{-ix(a-b)} d x $

Published on 12 Apr 2026 - 16:30

score 66 · Answer 14 · 2026-04-15 11:59:46

66

Views

Reference request for the "Parseval theorem for convolution"

Published on 15 Apr 2026 - 11:59

score 131 · Answer 15 · 2026-04-11 04:24:33

131

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Relation between Fourier transform and uncertainty principle

Published on 11 Apr 2026 - 4:24

List Question

Fourier transform of $L^1(\Bbb{R})$ functions

How are high frequencies less present in discrete Fourier transforms?

It is always true that $ \int\limits_{-t_0}^{t_0} f(t)\,e^{-iwt}\,dt = 2\,\int\limits_{0}^{t_0} f(t)\,e^{-iwt}\,dt$??

Asymptotic answer of Fourier transform radially symmetric function with a ring of minimum

Which conditions must fulfill $f(t)$ to have an absolute-integrable Fourier Transform $F(w)$: $\int\limits_{-\infty}^\infty |F(w)| dw < \infty$?

why the finite Fourier sine transform use integral and the inverse use summation?

Are there functions $f(t)$ with $||f'(t)||_\infty < \infty$ such as their Fourier transform $F(w)$ makes $\int_{-\infty}^\infty|wF(w)|dw \to \infty$??

The periodization of the Dirichlet kernel on the real line (Stein & Shakarchi, Chapter 5, Ex #16)

DFT of the discrete function $f(x,y)=1$

Changing all sine to cosine would make the smoothness unaltered?

Using a sum in place of 1/s in a laplace transform transfer function - is this allowed?

Exercise involving DFT

How to evaluate $ \int_{0}^{\infty} xe^{-ix(a-b)} d x $

Reference request for the "Parseval theorem for convolution"

Relation between Fourier transform and uncertainty principle

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