Question

How to calculate the Fourier transform of the Kaiser-Bessel window?

score 672 · Answer 1 · 2026-04-11 18:35:52

672

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How to calculate the Fourier transform of the Kaiser-Bessel window?

Published on 11 Apr 2026 - 18:35

score 96 · Answer 2 · 2026-04-16 14:45:27

96

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Computing a Fourier transform of $t \mapsto e^{t^2/2}\frac{d^k}{dt^k}e^{-t^2}$

Published on 16 Apr 2026 - 14:45

score 59 · Answer 3 · 2026-04-12 07:28:40

59

Views

Continuous integrable functions whose Fourier transform are not integrable.

Published on 12 Apr 2026 - 7:28

score 267 · Answer 4 · 2026-04-11 23:43:37

267

Views

Convolution of a function and its Fourier transform

Published on 11 Apr 2026 - 23:43

score 93 · Answer 5 · 2026-04-09 21:25:25

93

Views

Norm Convergence of Partial Sum Operator on Schwartz Space

Published on 09 Apr 2026 - 21:25

score 30 · Answer 6 · 2026-04-16 15:01:41

30

Views

Discrete Fourier Transform: Proof that the set of vector $w_k[n] = e^{j\omega kn}$ for $n = 0,...,N-1$ is a basis for $\mathbb{C}^N$

Published on 16 Apr 2026 - 15:01

score 51 · Answer 7 · 2026-04-14 17:56:45

51

Views

How to use the Fourier transform for show that $ \int_{0}^{\infty} \frac{sin^2(x)}{x^2} dx = \frac{\pi}{2} $?

Published on 14 Apr 2026 - 17:56

score 354 · Answer 8 · 2026-04-11 06:52:14

354

Views

Norm convergence of partial sum operator on $L^p$, $1 < p < \infty$.

Published on 11 Apr 2026 - 6:52

score 92 · Answer 9 · 2026-04-10 03:31:18

92

Views

Fourier transform as an integral on $L^2$

Published on 10 Apr 2026 - 3:31

score 16 · Answer 10 · 2026-04-16 05:54:33

16

Views

Given a signal I(m,n) = a + bm + cn and a non linear filter e.g. median filter, find the response.

Published on 16 Apr 2026 - 5:54

score 92 · Answer 11 · 2026-04-14 07:42:48

92

Views

The integrals $\frac{1}{2\pi} \int_{-\infty}^\infty\frac{ e^{-i z u}}{z \pm i c }dz $

Published on 14 Apr 2026 - 7:42

score 71 · Answer 12 · 2026-04-16 10:05:16

71

Views

Proving that $f(x)=\frac{1}{2\pi}\int_{-\infty}^{\infty}e^{ixy}\int_{-\infty}^{\infty}e^{-ixy}f(x)dxdy$.

Published on 16 Apr 2026 - 10:05

score 257 · Answer 13 · 2026-04-15 03:54:24

257

Views

Show that $F^4=I$ if $F$ is the Fourier Transform.

Published on 15 Apr 2026 - 3:54

score 117 · Answer 14 · 2026-04-12 09:43:56

117

Views

Trying to find Green's function for an ODE with Periodic Boundary Conditions?

Published on 12 Apr 2026 - 9:43

score 29 · Answer 15 · 2026-04-11 17:01:31

29

Views

If $\varrho$ has characteristic function $\hat\varrho(x)=e^{-\frac{\langle Ax,\:x\rangle}2}$, then $\int\varrho({\rm d}y)\langle y,x\rangle y=Ax$

Published on 11 Apr 2026 - 17:01

List Question

How to calculate the Fourier transform of the Kaiser-Bessel window?

Computing a Fourier transform of $t \mapsto e^{t^2/2}\frac{d^k}{dt^k}e^{-t^2}$

Continuous integrable functions whose Fourier transform are not integrable.

Convolution of a function and its Fourier transform

Norm Convergence of Partial Sum Operator on Schwartz Space

Discrete Fourier Transform: Proof that the set of vector $w_k[n] = e^{j\omega kn}$ for $n = 0,...,N-1$ is a basis for $\mathbb{C}^N$

How to use the Fourier transform for show that $ \int_{0}^{\infty} \frac{sin^2(x)}{x^2} dx = \frac{\pi}{2} $?

Norm convergence of partial sum operator on $L^p$, $1 < p < \infty$.

Fourier transform as an integral on $L^2$

Given a signal I(m,n) = a + bm + cn and a non linear filter e.g. median filter, find the response.

The integrals $\frac{1}{2\pi} \int_{-\infty}^\infty\frac{ e^{-i z u}}{z \pm i c }dz $

Proving that $f(x)=\frac{1}{2\pi}\int_{-\infty}^{\infty}e^{ixy}\int_{-\infty}^{\infty}e^{-ixy}f(x)dxdy$.

Show that $F^4=I$ if $F$ is the Fourier Transform.

Trying to find Green's function for an ODE with Periodic Boundary Conditions?

If $\varrho$ has characteristic function $\hat\varrho(x)=e^{-\frac{\langle Ax,\:x\rangle}2}$, then $\int\varrho({\rm d}y)\langle y,x\rangle y=Ax$

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