List questions from fourier-analysis

58

Views

Show that $d_{f+g}(\alpha+\beta) \leq d_{f}(\alpha)+d_{g}(\beta)$, where $d_h(c)=\mu(\{x \in X:|h(x)|>c\}$

Published on 25 Mar 2026 - 4:43

308

Views

"Bad" Fourier Series derivation

Published on 27 Mar 2026 - 11:46

163

Views

If $f$ is $2\pi$-periodic and $C^{k}$, $\hat{f}(n)=O\left(\frac{1}{|n|^{k}}\right)$ as $n\rightarrow\infty$

Published on 27 Mar 2026 - 14:53

492

Views

Folland - Real Analysis, Plancherel theorem proof

Published on 27 Mar 2026 - 12:55

61

Views

What is the Discrete Fourier Transform of a periodic sequence?

Published on 25 Mar 2026 - 1:17

57

Views

Reference for some topics in Fourier Analysis

Published on 30 Sep 2018 - 13:45

586

Views

If $f$ vanishes at all its points of continuity, then $\|f\| = 0.$

Published on 01 Oct 2018 - 16:13

1k

Views

Dirichlet problem in a rectangle with nonhomogeneous boundary conditions

Published on 03 Oct 2018 - 0:57

81

Views

Find coefficient of fourier series knowing the series for a similar function

Published on 27 Mar 2026 - 13:25

1.9k

Views

Using Fourier Analysis to solve Basel Problem

Published on 27 Mar 2026 - 11:45

695

Views

How can I express this solution in terms of the error function?

Published on 26 Mar 2026 - 6:20

53

Views

oscillatory integrals in several variables with nonstationary pahse

Published on 30 Mar 2026 - 0:19

408

Views

Fourier sine series.

Published on 04 Oct 2018 - 7:13

197

Views

Fourier transform and fourth root

Published on 27 Mar 2026 - 7:35

828

Views

Fourier-Bessel Series for $f(x)=1-x$

Published on 26 Mar 2026 - 20:40

List Question

Show that $d_{f+g}(\alpha+\beta) \leq d_{f}(\alpha)+d_{g}(\beta)$, where $d_h(c)=\mu(\{x \in X:|h(x)|>c\}$

"Bad" Fourier Series derivation

If $f$ is $2\pi$-periodic and $C^{k}$, $\hat{f}(n)=O\left(\frac{1}{|n|^{k}}\right)$ as $n\rightarrow\infty$

Folland - Real Analysis, Plancherel theorem proof

What is the Discrete Fourier Transform of a periodic sequence?

Reference for some topics in Fourier Analysis

If $f$ vanishes at all its points of continuity, then $\|f\| = 0.$

Dirichlet problem in a rectangle with nonhomogeneous boundary conditions

Find coefficient of fourier series knowing the series for a similar function

Using Fourier Analysis to solve Basel Problem

How can I express this solution in terms of the error function?

oscillatory integrals in several variables with nonstationary pahse

Fourier sine series.

Fourier transform and fourth root

Fourier-Bessel Series for $f(x)=1-x$

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