List questions from fourier-analysis

Published on 20 Mar 2026 - 11:02

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Understanding multilinear interpolation

Published on 25 Mar 2026 - 1:13

27

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Permutations - sum of harmonics with phases being another sum over product of index and its permutation

Published on 26 Mar 2026 - 8:00

66

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Proving the identity $\int_\alpha^\beta | f(t) | dt \leq \sqrt{\beta - \alpha} \cdot || f ||$

Published on 06 Oct 2018 - 5:54

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Laplace equation with boundary conditions of solution value and normal derivative

Published on 06 Oct 2018 - 16:01

67

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How long does a smooth function maintain its "size"?

Published on 30 Mar 2026 - 0:16

480

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Fourier transform of a product of exponential and rectangular window

Published on 25 Mar 2026 - 19:10

352

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Fourier Series of Product of Continuous Functions

Published on 27 Mar 2026 - 13:25

434

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Upper bound of a partial sum of Fourier coefficients

Published on 27 Mar 2026 - 16:47

43

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If $\sum a_nb_n$ converges so does $\sum a_{\sigma n}b_n$

Published on 30 Mar 2026 - 2:11

38

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How to prove this inequation in Fourier Analysis?

Published on 27 Mar 2026 - 14:21

124

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Suppose that $\hat{f}(n) = -\hat{f}(-n)\geq 0$ holds for all $n \in \mathbb{Z}$. Prove that $\sum^{\infty}_{n=1} \frac{\hat{f} (n)}{n} < \infty.$

Published on 27 Mar 2026 - 14:52

9k

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Find the Fourier transform of $e^{- x^2}$.

Published on 27 Mar 2026 - 13:27

78

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Generalisation of the Fourier Transform

Published on 27 Mar 2026 - 14:28

106

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Is there a simple characterization of the functions for which the Fourier inversion theorem holds identically?

Published on 25 Mar 2026 - 12:54

List Question

An asymptotic for a simple oscillatory integral

Understanding multilinear interpolation

Permutations - sum of harmonics with phases being another sum over product of index and its permutation

Proving the identity $\int_\alpha^\beta | f(t) | dt \leq \sqrt{\beta - \alpha} \cdot || f ||$

Laplace equation with boundary conditions of solution value and normal derivative

How long does a smooth function maintain its "size"?

Fourier transform of a product of exponential and rectangular window

Fourier Series of Product of Continuous Functions

Upper bound of a partial sum of Fourier coefficients

If $\sum a_nb_n$ converges so does $\sum a_{\sigma n}b_n$

How to prove this inequation in Fourier Analysis?

Suppose that $\hat{f}(n) = -\hat{f}(-n)\geq 0$ holds for all $n \in \mathbb{Z}$. Prove that $\sum^{\infty}_{n=1} \frac{\hat{f} (n)}{n} < \infty.$

Find the Fourier transform of $e^{- x^2}$.

Generalisation of the Fourier Transform

Is there a simple characterization of the functions for which the Fourier inversion theorem holds identically?

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