List questions from fourier-analysis

671

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While Fourier series solve heat equation on a finite interval, can Fourier transform solve heat equation on infinite line?

Published on 26 Mar 2026 - 6:08

152

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Fourier transformation and differential equation 2nd order

Published on 30 Mar 2026 - 6:45

486

Views

Lower Bound on Oscillatory Integral

Published on 27 Mar 2026 - 11:30

218

Views

(Motivation behind) Orthogonality of functions

Published on 27 Mar 2026 - 16:26

70

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On the orthogonal bases in $L^2[0,1]$

Published on 25 Mar 2026 - 5:06

325

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Frequency spectrum and unit impulse response

Published on 26 Mar 2026 - 9:45

382

Views

Bandlimited reconstruction of sampled periodic functions.

Published on 25 Mar 2026 - 12:53

60

Views

Integral of a given complex function

Published on 27 Mar 2026 - 21:52

69

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Periodic coefficients of Fourier series

Published on 29 Mar 2026 - 22:33

135

Views

Essential supremum of Fourier transform.

Published on 09 Jul 2019 - 4:52

194

Views

Can we calculate the integral $\int_{-a}^a \frac{\sin(\pi x)}{\pi x}e^{2\pi i xt} \, dx$?

Published on 30 Mar 2026 - 6:50

218

Views

Fourier transform of matrix over polynomial field?

Published on 31 Mar 2026 - 17:28

242

Views

Energy spectral density in an LTI system

Published on 26 Mar 2026 - 9:48

3.9k

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Fourier transform of function defined on finite interval

Published on 30 Mar 2026 - 6:44

57

Views

$\int_{-\infty}^\infty \exp(iqy')dy' \int_{-\infty}^\infty |k|\exp(ik(y-y'))dk$ in 2 way give different results

Published on 10 Jul 2019 - 11:43

List Question

While Fourier series solve heat equation on a finite interval, can Fourier transform solve heat equation on infinite line?

Fourier transformation and differential equation 2nd order

Lower Bound on Oscillatory Integral

(Motivation behind) Orthogonality of functions

On the orthogonal bases in $L^2[0,1]$

Frequency spectrum and unit impulse response

Bandlimited reconstruction of sampled periodic functions.

Integral of a given complex function

Periodic coefficients of Fourier series

Essential supremum of Fourier transform.

Can we calculate the integral $\int_{-a}^a \frac{\sin(\pi x)}{\pi x}e^{2\pi i xt} \, dx$?

Fourier transform of matrix over polynomial field?

Energy spectral density in an LTI system

Fourier transform of function defined on finite interval

$\int_{-\infty}^\infty \exp(iqy')dy' \int_{-\infty}^\infty |k|\exp(ik(y-y'))dk$ in 2 way give different results

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