List questions from fourier-transform

Published on 29 Mar 2026 - 12:40

56

Views

Prove that if $g(x) = f(\alpha x)$, then $\hat{g}(w) = \frac{\hat{f}(\frac{w}{\alpha})}{|\alpha|}$.

Published on 08 Sep 2019 - 4:03

387

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What does fourier transform of exponential function mean?

Published on 29 Aug 2019 - 18:14

179

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Find the Fourier Transform of $ \frac{\sin (x)}{x}$

Published on 09 Sep 2019 - 10:57

329

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Szego limit theorems for Toeplitz matrix

Published on 25 Mar 2026 - 1:53

116

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Calculate $\sum_\limits{n=-\infty}^{\infty} \left(\frac{\sin(w_0n)}{\pi n}\right)^4$ where $w_0<\frac{\pi}{2}$

Published on 10 Sep 2019 - 7:44

68

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Let $H(e^{iw})=iw$. Use this to calculate a related sum $\sum_{1}^{\infty} \frac{1}{n^2}$

Published on 11 Sep 2019 - 14:03

157

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Using Parsevals formula to calculate a sum

Published on 22 Mar 2026 - 13:58

227

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An application of the Paley-Wiener theorem

Published on 25 Mar 2026 - 21:49

2k

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Inverse Fourier transform rectangle function

Published on 12 Sep 2019 - 18:30

96

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Fourier transform of $f(x)=\frac{4}{3+2x+x^2}$

Published on 13 Sep 2019 - 10:03

127

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partial fraction decomposition in integral

Published on 26 Mar 2026 - 7:48

38

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Why does Mathematica calculate the same inverse Fourier function for two different functions?

Published on 28 Mar 2026 - 20:03

558

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Parseval's identity with complex Fourier

Published on 22 Mar 2026 - 12:44

51

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Complex integral in spectrum estimator

Published on 28 Mar 2026 - 3:00

List Question

Solving PDE, ODE by the integral transformation

Prove that if $g(x) = f(\alpha x)$, then $\hat{g}(w) = \frac{\hat{f}(\frac{w}{\alpha})}{|\alpha|}$.

What does fourier transform of exponential function mean?

Find the Fourier Transform of $ \frac{\sin (x)}{x}$

Szego limit theorems for Toeplitz matrix

Calculate $\sum_\limits{n=-\infty}^{\infty} \left(\frac{\sin(w_0n)}{\pi n}\right)^4$ where $w_0<\frac{\pi}{2}$

Let $H(e^{iw})=iw$. Use this to calculate a related sum $\sum_{1}^{\infty} \frac{1}{n^2}$

Using Parsevals formula to calculate a sum

An application of the Paley-Wiener theorem

Inverse Fourier transform rectangle function

Fourier transform of $f(x)=\frac{4}{3+2x+x^2}$

partial fraction decomposition in integral

Why does Mathematica calculate the same inverse Fourier function for two different functions?

Parseval's identity with complex Fourier

Complex integral in spectrum estimator

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