List questions from fourier-analysis

Published on 15 Apr 2026 - 15:56

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Proof of Convolution Theorem for three functions, using Dirac delta

Published on 13 Apr 2026 - 3:12

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How to make use Hausdorff-Young inequality to make the following conclusion?

Published on 11 Apr 2026 - 10:28

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Are sin functions required for representing a function using a Fourier series, or are cos functions on their own sufficient?

Published on 12 Apr 2026 - 3:17

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$\int_{\mathbb{R}} |x|^{\frac{1}{2}} |f(x)|^2 dx < \infty$ and $\int_{\mathbb{R}} |\xi|^{\frac{1}{2}} |\hat{f}(\xi)|^2 d\xi = \infty$

Published on 17 Apr 2026 - 7:22

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Conditional convergence of Fourier transform

Published on 25 Mar 2026 - 13:42

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Polynomial growth of Fourier transform

Published on 12 Apr 2026 - 17:33

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Solve $Ay''+By'+Cy=f(t)$ by Laplace Transform

Published on 15 Apr 2026 - 17:50

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Theorem 2.1 in Stein and Shakarachi Fourier Analysis.(uniqueness of Fourier Series)

Published on 15 Apr 2026 - 13:51

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The idea of the proof of a theorem.

Published on 12 Apr 2026 - 21:11

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The idea of the proof of theorem 2.1 in Stein and Shakarchi' Fourier Analysis book

Published on 14 Apr 2026 - 6:26

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Wave and superposition.

Published on 13 Apr 2026 - 22:31

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Solve $2y(x)+\int_{-\infty}^{\infty}g(x-t)y(t)dt = g(x)$ using Fourier Transforms

Published on 15 Apr 2026 - 22:16

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Fourier series problem

Published on 09 Apr 2026 - 11:00

577

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FFT Autocorrelation

Published on 12 Apr 2026 - 20:05

List Question

Solve the following set of equations using Laplace Transforms

Proof of Convolution Theorem for three functions, using Dirac delta

How to make use Hausdorff-Young inequality to make the following conclusion?

Are sin functions required for representing a function using a Fourier series, or are cos functions on their own sufficient?

$\int_{\mathbb{R}} |x|^{\frac{1}{2}} |f(x)|^2 dx < \infty$ and $\int_{\mathbb{R}} |\xi|^{\frac{1}{2}} |\hat{f}(\xi)|^2 d\xi = \infty$

Conditional convergence of Fourier transform

Polynomial growth of Fourier transform

Solve $Ay''+By'+Cy=f(t)$ by Laplace Transform

Theorem 2.1 in Stein and Shakarachi Fourier Analysis.(uniqueness of Fourier Series)

The idea of the proof of a theorem.

The idea of the proof of theorem 2.1 in Stein and Shakarchi' Fourier Analysis book

Wave and superposition.

Solve $2y(x)+\int_{-\infty}^{\infty}g(x-t)y(t)dt = g(x)$ using Fourier Transforms

Fourier series problem

FFT Autocorrelation

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