List questions from fourier-transform

Published on 17 Apr 2026 - 12:55

86

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Lower bound on sum of Fourier coefficients

Published on 15 Apr 2026 - 18:28

121

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Can the image of a set over a discontinuous function contain infinity?

Published on 11 Apr 2026 - 23:25

84

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Fourier transform of $1/k^4$

Published on 15 Apr 2026 - 3:15

247

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Exponential decay Fourier transform

Published on 13 Apr 2026 - 4:06

133

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Text to study PDEs and Fourier series/transform

Published on 11 Apr 2026 - 6:43

116

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Integration by parts radial Fourier transform

Published on 15 Apr 2026 - 10:11

1k

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Does there exist a Laplace series for the Laplace transform?

Published on 22 Apr 2026 - 16:11

99

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Prove $ \int_{\mathbb{R}^d} \frac{|e^{i\langle \xi, y \rangle} + e^{- i\langle \xi, y \rangle} - 2|^2 }{|y|^{d+2}}dy = c_d |\xi|^2 $

Published on 16 Apr 2026 - 0:31

242

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Fourier transform of complex exponential with cubic power $\int_{-\infty}^{\infty}dx e^{iax-ibx^3}$

Published on 14 Apr 2026 - 4:52

44

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$\int_{0}^{1} e^{-2\pi itf}~ dt \neq $ FT of piecewise representation?

Published on 16 Apr 2026 - 13:13

158

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Show that the Fourier transform of $f(x)$ is given by $\widetilde{f}(k)=\frac{2}{k^2}[cos(kb)-cos(ka)]$

Published on 15 Apr 2026 - 10:56

207

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Extension of Fourier transform to $L^2$ by density of Schwartz functions

Published on 13 Apr 2026 - 6:24

48

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Multi-dimensional Wigner distribution

Published on 13 Apr 2026 - 12:39

66

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Asymptotics of the Fourier transform of a non-analytic function involving an exponential

Published on 12 Apr 2026 - 8:03

List Question

Integral $\int_0^\infty \frac{t\sin{tx}}{(1+t^2)(4+t^2)}dt$

Lower bound on sum of Fourier coefficients

Can the image of a set over a discontinuous function contain infinity?

Fourier transform of $1/k^4$

Exponential decay Fourier transform

Text to study PDEs and Fourier series/transform

Integration by parts radial Fourier transform

Does there exist a Laplace series for the Laplace transform?

Prove $ \int_{\mathbb{R}^d} \frac{|e^{i\langle \xi, y \rangle} + e^{- i\langle \xi, y \rangle} - 2|^2 }{|y|^{d+2}}dy = c_d |\xi|^2 $

Fourier transform of complex exponential with cubic power $\int_{-\infty}^{\infty}dx e^{iax-ibx^3}$

$\int_{0}^{1} e^{-2\pi itf}~ dt \neq $ FT of piecewise representation?

Show that the Fourier transform of $f(x)$ is given by $\widetilde{f}(k)=\frac{2}{k^2}[cos(kb)-cos(ka)]$

Extension of Fourier transform to $L^2$ by density of Schwartz functions

Multi-dimensional Wigner distribution

Asymptotics of the Fourier transform of a non-analytic function involving an exponential

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