List questions from fourier-transform

Published on 12 Apr 2026 - 23:28

95

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Proving $\int_{-\pi}^{\pi}|f(x)|^2dx$ $\le$ $\int_{-\pi}^{\pi}|g(x)|^2dx$

Published on 16 Apr 2026 - 0:47

394

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Relationship between Fourier transform and matrix exponential

Published on 09 Apr 2026 - 20:09

88

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What to do with boundary terms in Fourier transformation of a derivative?

Published on 09 Apr 2026 - 6:09

205

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Show that $\int_{-\infty}^{\infty} \frac{\sin(2\pi(x-a))}{\pi(x-a)}\frac{\sin(2\pi(x-b))}{\pi(x-b)}dx = \frac{\sin2\pi(a-b)}{\pi(a-b)}$

Published on 17 Apr 2026 - 9:59

126

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Equivalence of the integral of the product of two functions with the integral of the product of their Fourier transforms

Published on 14 Apr 2026 - 4:25

206

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Computation of some Fourier/Hankel transforms

Published on 14 Apr 2026 - 22:46

56

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If $f : \mathbb{R} \to \mathbb{R} : f(t) = \frac{1}{1+t^2}$, is $\hat{f}$ square integrable?

Published on 16 Apr 2026 - 23:54

82

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Characteristic function of a random variable: what is the argument/input?

Published on 12 Apr 2026 - 22:36

274

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Classical mechanics as a limit of quantum mechanics?

Published on 10 Apr 2026 - 20:43

310

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Differentiation of a Fourier Series: $f(x)=x$ for $-\pi<x<\pi$

Published on 13 Apr 2026 - 23:52

159

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Continuum limit of discrete Fourier Transformation

Published on 09 Apr 2026 - 17:54

46

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Fourier transform of $ g(t)=(2t+\sin t)e^{e^{-t^2}}$

Published on 15 Apr 2026 - 11:40

125

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What is the abstract definition of a Mathematical transform?

Published on 12 Apr 2026 - 21:47

40

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how do i prove that $\check{\widehat{\left(f\right)}}=f$

Published on 15 Apr 2026 - 12:45

List Question

Ensemble average of inner product of vectors

Proving $\int_{-\pi}^{\pi}|f(x)|^2dx$ $\le$ $\int_{-\pi}^{\pi}|g(x)|^2dx$

Relationship between Fourier transform and matrix exponential

What to do with boundary terms in Fourier transformation of a derivative?

Show that $\int_{-\infty}^{\infty} \frac{\sin(2\pi(x-a))}{\pi(x-a)}\frac{\sin(2\pi(x-b))}{\pi(x-b)}dx = \frac{\sin2\pi(a-b)}{\pi(a-b)}$

Equivalence of the integral of the product of two functions with the integral of the product of their Fourier transforms

Computation of some Fourier/Hankel transforms

If $f : \mathbb{R} \to \mathbb{R} : f(t) = \frac{1}{1+t^2}$, is $\hat{f}$ square integrable?

Characteristic function of a random variable: what is the argument/input?

Classical mechanics as a limit of quantum mechanics?

Differentiation of a Fourier Series: $f(x)=x$ for $-\pi<x<\pi$

Continuum limit of discrete Fourier Transformation

Fourier transform of $ g(t)=(2t+\sin t)e^{e^{-t^2}}$

What is the abstract definition of a Mathematical transform?

how do i prove that $\check{\widehat{\left(f\right)}}=f$

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