Question

Fourier series of $f(x)=\sin^2x\cos^2x$ at $(-\pi,\pi)$

score 429 · Answer 1 · 2018-09-13 20:32:30

429

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Fourier series of $f(x)=\sin^2x\cos^2x$ at $(-\pi,\pi)$

Published on 13 Sep 2018 - 20:32

score 274 · Answer 2 · 2018-09-14 07:32:24

274

Views

Prove that cosine Fourier coefficients are absolutely summable.

Published on 14 Sep 2018 - 7:32

score 55 · Answer 3 · 2018-09-14 13:26:28

55

Views

Fourier Series Of $a^2-x^2$

Published on 14 Sep 2018 - 13:26

score 164 · Answer 4 · 2018-09-14 19:35:55

164

Views

Wavenumber $k$ becoming a continuous variable as $\lambda \to \infty$

Published on 14 Sep 2018 - 19:35

score 90 · Answer 5 · 2026-03-26 23:09:18

90

Views

Cremona 2.14.1 Why is $c_4$ and $c_6$ complex when they should be rational?

Published on 26 Mar 2026 - 23:09

score 43 · Answer 6 · 2018-09-15 14:23:39

43

Views

Finding the value of $\sum_{n=1}^\infty \frac{1}{n^2}$ using Fourier transformation of a function f(x)

Published on 15 Sep 2018 - 14:23

score 251 · Answer 7 · 2018-09-15 21:45:05

251

Views

Poincare type inequality for functions with vanishing fourier coefficients

Published on 15 Sep 2018 - 21:45

score 551 · Answer 8 · 2018-09-16 06:40:16

551

Views

If the series of the Fourier coefficients is absolute convergent then the Fourier series is uniform convergent

Published on 16 Sep 2018 - 6:40

score 167 · Answer 9 · 2026-02-24 01:39:05

167

Views

Convergence of Fourier series in Bergman norm

Published on 24 Feb 2026 - 1:39

score 389 · Answer 10 · 2018-09-16 12:31:09

389

Views

Fourier coefficients decay

Published on 16 Sep 2018 - 12:31

score 38 · Answer 11 · 2018-09-16 22:36:53

38

Views

Going from Fourier sum to Fourier integral - confusion on intermediate step

Published on 16 Sep 2018 - 22:36

score 76 · Answer 12 · 2026-03-25 06:12:54

76

Views

Looking for an explicit $f\in C(\mathbb{T})$ such that $t\mapsto\sum_{n=0}^{\infty}\hat{f}(n)e^{int}\notin L^\infty(\mathbb{T})$.

Published on 25 Mar 2026 - 6:12

score 375 · Answer 13 · 2026-03-24 23:58:03

375

Views

Find the Fourier-Bessel Series for $f(x)$ With Respect to the Orthogonal Set: How Was $w(x)$ Found?

Published on 24 Mar 2026 - 23:58

score 56 · Answer 14 · 2026-03-26 04:31:35

56

Views

Is mathematical relation between functions the same as relation between their Fourier series?

Published on 26 Mar 2026 - 4:31

score 503 · Answer 15 · 2018-09-20 20:57:53

503

Views

Has the fourier series for all smooth periodic functions finitely many terms?

Published on 20 Sep 2018 - 20:57

List Question

Fourier series of $f(x)=\sin^2x\cos^2x$ at $(-\pi,\pi)$

Prove that cosine Fourier coefficients are absolutely summable.

Fourier Series Of $a^2-x^2$

Wavenumber $k$ becoming a continuous variable as $\lambda \to \infty$

Cremona 2.14.1 Why is $c_4$ and $c_6$ complex when they should be rational?

Finding the value of $\sum_{n=1}^\infty \frac{1}{n^2}$ using Fourier transformation of a function f(x)

Poincare type inequality for functions with vanishing fourier coefficients

If the series of the Fourier coefficients is absolute convergent then the Fourier series is uniform convergent

Convergence of Fourier series in Bergman norm

Fourier coefficients decay

Going from Fourier sum to Fourier integral - confusion on intermediate step

Looking for an explicit $f\in C(\mathbb{T})$ such that $t\mapsto\sum_{n=0}^{\infty}\hat{f}(n)e^{int}\notin L^\infty(\mathbb{T})$.

Find the Fourier-Bessel Series for $f(x)$ With Respect to the Orthogonal Set: How Was $w(x)$ Found?

Is mathematical relation between functions the same as relation between their Fourier series?

Has the fourier series for all smooth periodic functions finitely many terms?

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