List questions from fourier-analysis

Published on 09 Apr 2026 - 2:19

46

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Let $ T:\ell^2 (\Bbb Z_{N})\to\ell^2 (\Bbb Z_{N})$ be defined by $(T(z))(n)=z(n+1)-z(n)$

Published on 16 Apr 2026 - 3:00

66

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What is meaning of $FFT(\vec{E}(x,y ))$

Published on 16 Apr 2026 - 6:24

178

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Significance of orthonormal basis in wavelet analysis

Published on 11 May 2026 - 8:32

79

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Constructing a function using the Fourier transform

Published on 13 Apr 2026 - 11:59

283

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Proving a certain function is radial

Published on 12 Apr 2026 - 14:19

528

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Discrete Laplace transform. Analogy to change of basis

Published on 13 Apr 2026 - 12:44

561

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Fourier transform of divergent function.

Published on 09 Apr 2026 - 1:18

43.7k

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Convolution of a function with itself

Published on 11 Apr 2026 - 21:00

195

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Show that $|\sum _{j=1}^n \frac{\cos (2\pi jx)}{j}| \leq C -\log |\sin (\pi x)| $

Published on 15 Apr 2026 - 21:40

86

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Show that the distribution is of the form $C \delta + f$

Published on 15 Apr 2026 - 8:15

65

Views

Can we obtain Fourier transform of a continuous signal using finite number of samples of the signal with known frequency cutoff?

Published on 13 Apr 2026 - 8:16

164

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Is f necessarily continuously differentiable under given conditions?

Published on 13 Apr 2026 - 16:00

139

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Prove that $\int_{-\infty}^\infty P_n(x) \, dx = \pi /n$

Published on 15 Apr 2026 - 19:59

181

Views

Discrete fourier transform of random noise interpretation

Published on 09 Apr 2026 - 18:03

List Question

Fourier transform of a random variable

Let $ T:\ell^2 (\Bbb Z_{N})\to\ell^2 (\Bbb Z_{N})$ be defined by $(T(z))(n)=z(n+1)-z(n)$

What is meaning of $FFT(\vec{E}(x,y ))$

Significance of orthonormal basis in wavelet analysis

Constructing a function using the Fourier transform

Proving a certain function is radial

Discrete Laplace transform. Analogy to change of basis

Fourier transform of divergent function.

Convolution of a function with itself

Show that $|\sum _{j=1}^n \frac{\cos (2\pi jx)}{j}| \leq C -\log |\sin (\pi x)| $

Show that the distribution is of the form $C \delta + f$

Can we obtain Fourier transform of a continuous signal using finite number of samples of the signal with known frequency cutoff?

Is f necessarily continuously differentiable under given conditions?

Prove that $\int_{-\infty}^\infty P_n(x) \, dx = \pi /n$

Discrete fourier transform of random noise interpretation

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