Question

Fourier Transform of $e^x\cos(x)$

score 237 · Answer 1 · 2026-04-20 06:02:05

237

Views

Fourier Transform of $e^x\cos(x)$

Published on 20 Apr 2026 - 6:02

score 134 · Answer 2 · 2026-04-12 10:38:40

134

Views

Convolution of $e^{-a|x|} \ast e^{-a|x|}$ with $a>0$ using Fourier transform

Published on 12 Apr 2026 - 10:38

score 139 · Answer 3 · 2026-04-08 21:18:09

139

Views

Fourier transform of $\,e^{-ax}\!\operatorname{erfc}(x)$

Published on 08 Apr 2026 - 21:18

score 200 · Answer 4 · 2026-04-14 20:23:06

200

Views

Fourier integral representation of the inverse of $\operatorname{Shi}(x)=\int_0^x\frac{\sinh(t)}t dt$

Published on 14 Apr 2026 - 20:23

score 155 · Answer 5 · 2026-04-13 13:12:43

155

Views

"The totient is the discrete Fourier transform of the gcd, evaluated at 1."

Published on 13 Apr 2026 - 13:12

score 166 · Answer 6 · 2026-04-12 01:08:50

166

Views

Show that $L^2$-norm of function and its Fourier transform coincide

Published on 12 Apr 2026 - 1:08

score 103 · Answer 7 · 2026-04-10 08:57:57

103

Views

How to interpret discrete Fourier transform?

Published on 10 Apr 2026 - 8:57

score 89 · Answer 8 · 2026-04-16 00:06:35

89

Views

How can we show $\mathcal F^{-1}=\mathcal F^3$ using a specific definition of the Fourier transform $\mathcal F$?

Published on 16 Apr 2026 - 0:06

score 191 · Answer 9 · 2026-04-10 01:18:26

191

Views

Integral over product of Fourier transforms

Published on 10 Apr 2026 - 1:18

score 108 · Answer 10 · 2026-04-12 01:44:48

108

Views

What does it mean to "find the Fourier series coefficients for the Fourier series over " some interval?

Published on 12 Apr 2026 - 1:44

score 210 · Answer 11 · 2026-04-20 06:11:45

210

Views

Fourier transform of the distribution $\left[\frac{1}{|x|^d}\right]$ on $\mathbb{R}^d$

Published on 20 Apr 2026 - 6:11

score 34 · Answer 12 · 2026-04-16 01:57:33

34

Views

How to find the integral of a product, knowing that the area of one of the multiplied functions is the area of a common shape?

Published on 16 Apr 2026 - 1:57

score 42 · Answer 13 · 2026-04-13 00:40:34

42

Views

Fourier Transform involving exponential with a radical argument

Published on 13 Apr 2026 - 0:40

score 566 · Answer 14 · 2026-04-14 07:05:09

566

Views

Fourier series of $f(x)=\pi -x$ for $x \in [0,2\pi]$

Published on 14 Apr 2026 - 7:05

score 82 · Answer 15 · 2026-04-08 19:38:03

82

Views

Fourier Inversion formula.

Published on 08 Apr 2026 - 19:38

List Question

Fourier Transform of $e^x\cos(x)$

Convolution of $e^{-a|x|} \ast e^{-a|x|}$ with $a>0$ using Fourier transform

Fourier transform of $\,e^{-ax}\!\operatorname{erfc}(x)$

Fourier integral representation of the inverse of $\operatorname{Shi}(x)=\int_0^x\frac{\sinh(t)}t dt$

"The totient is the discrete Fourier transform of the gcd, evaluated at 1."

Show that $L^2$-norm of function and its Fourier transform coincide

How to interpret discrete Fourier transform?

How can we show $\mathcal F^{-1}=\mathcal F^3$ using a specific definition of the Fourier transform $\mathcal F$?

Integral over product of Fourier transforms

What does it mean to "find the Fourier series coefficients for the Fourier series over " some interval?

Fourier transform of the distribution $\left[\frac{1}{|x|^d}\right]$ on $\mathbb{R}^d$

How to find the integral of a product, knowing that the area of one of the multiplied functions is the area of a common shape?

Fourier Transform involving exponential with a radical argument

Fourier series of $f(x)=\pi -x$ for $x \in [0,2\pi]$

Fourier Inversion formula.

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