Question

Why do different Fourier transform conventions not make a diﬀerence in physical applications?

score 134 · Answer 1 · 2026-04-11 07:13:50

134

Views

Why do different Fourier transform conventions not make a diﬀerence in physical applications?

Published on 11 Apr 2026 - 7:13

score 45 · Answer 2 · 2026-04-17 10:02:34

45

Views

Simple expression for $(-\Delta)^{\frac{3}{2}}$ in the spatial domain?

Published on 17 Apr 2026 - 10:02

score 111 · Answer 3 · 2026-04-03 07:43:20

111

Views

Integration over $\mathbb{R}^n$

Published on 03 Apr 2026 - 7:43

score 27 · Answer 4 · 2026-04-11 04:04:21

27

Views

Fast Fourier transform of a sampled exponential like function

Published on 11 Apr 2026 - 4:04

score 24 · Answer 5 · 2026-04-14 18:34:00

24

Views

How to evaluate $\int_{-\infty}^{\infty}e^{-\frac{u^{2}-i4\sigma^{2}\pi ux}{2\sigma^{2}}}du$?

Published on 14 Apr 2026 - 18:34

score 437 · Answer 6 · 2026-04-17 17:59:59

437

Views

What is the relation between the shift operator for derivatives and Fourier transforms?

Published on 17 Apr 2026 - 17:59

score 219 · Answer 7 · 2026-04-25 19:00:21

219

Views

Vector Convolution?

Published on 25 Apr 2026 - 19:00

score 69 · Answer 8 · 2026-04-12 06:48:02

69

Views

What does the wavenumber refer to when solving the Poisson equation with fourier transforms?

Published on 12 Apr 2026 - 6:48

score 99 · Answer 9 · 2026-04-16 10:39:11

99

Views

If $f$ is periodic and has derivative that is sectionally continuous then $\lim_{|n|\rightarrow\infty} n\hat{f}(n)=0$

Published on 16 Apr 2026 - 10:39

score 289 · Answer 10 · 2026-04-12 06:56:24

289

Views

Are these two definitions of "good kernels" in fourier series equivalent?

Published on 12 Apr 2026 - 6:56

score 356 · Answer 11 · 2026-04-11 10:35:40

356

Views

Why does a Triangular Fourier series converge faster than a Square Fourier series?

Published on 11 Apr 2026 - 10:35

score 71 · Answer 12 · 2026-04-17 09:56:35

71

Views

Find DFT of $f(m,n)=0.5\cdot\left((-1)^{m+n}+1\right)$

Published on 17 Apr 2026 - 9:56

score 1.7k · Answer 13 · 2026-04-16 18:50:33

1.7k

Views

prove that $e^{-x}\cos(x)=\frac{2}{\pi}\int_0^\infty \frac{u^2+2}{u^4+4}\cos(ux)\:du$

Published on 16 Apr 2026 - 18:50

score 36 · Answer 14 · 2026-04-13 04:41:32

36

Views

Zeros of the Discrete Frourier Transform of a Discrete Probability Distribution

Published on 13 Apr 2026 - 4:41

score 209 · Answer 15 · 2026-04-16 10:12:39

209

Views

Why IDFT really is the Inverse DFT?

Published on 16 Apr 2026 - 10:12

List Question

Why do different Fourier transform conventions not make a diﬀerence in physical applications?

Simple expression for $(-\Delta)^{\frac{3}{2}}$ in the spatial domain?

Integration over $\mathbb{R}^n$

Fast Fourier transform of a sampled exponential like function

How to evaluate $\int_{-\infty}^{\infty}e^{-\frac{u^{2}-i4\sigma^{2}\pi ux}{2\sigma^{2}}}du$?

What is the relation between the shift operator for derivatives and Fourier transforms?

Vector Convolution?

What does the wavenumber refer to when solving the Poisson equation with fourier transforms?

If $f$ is periodic and has derivative that is sectionally continuous then $\lim_{|n|\rightarrow\infty} n\hat{f}(n)=0$

Are these two definitions of "good kernels" in fourier series equivalent?

Why does a Triangular Fourier series converge faster than a Square Fourier series?

Find DFT of $f(m,n)=0.5\cdot\left((-1)^{m+n}+1\right)$

prove that $e^{-x}\cos(x)=\frac{2}{\pi}\int_0^\infty \frac{u^2+2}{u^4+4}\cos(ux)\:du$

Zeros of the Discrete Frourier Transform of a Discrete Probability Distribution

Why IDFT really is the Inverse DFT?

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