Question

Understanding orthogonality of functions in the context of Fourier series

score 488 · Answer 1 · 2026-04-10 03:08:07

488

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Understanding orthogonality of functions in the context of Fourier series

Published on 10 Apr 2026 - 3:08

score 5.6k · Answer 2 · 2026-04-17 09:03:34

5.6k

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Does a Fourier series always have period $2\pi$?

Published on 17 Apr 2026 - 9:03

score 299 · Answer 3 · 2026-04-09 11:33:17

299

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Translation of a certain proof of $(\sum k)^2 = \sum k^3 $

Published on 09 Apr 2026 - 11:33

score 765 · Answer 4 · 2026-04-12 07:33:00

765

Views

The convergence rate of Fourier series coefficient for analytic function

Published on 12 Apr 2026 - 7:33

score 336 · Answer 5 · 2026-04-10 23:57:31

336

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Why calculate fourier series component for k=0?

Published on 10 Apr 2026 - 23:57

score 403 · Answer 6 · 2026-04-16 13:20:53

403

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Verify that $\frac{\pi}{4} = 1-\frac{1}{3}+\frac{1}{5}-\frac{1}{7}+....$ can be found via a Fourier series for $x$ in $-\pi\lt x \le \pi$

Published on 16 Apr 2026 - 13:20

score 110 · Answer 7 · 2026-04-15 18:14:58

110

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what is it if the Fourier series is $\sum_{n=1}^\infty \frac{\cos 2n\pi x}{n^{s+1}}$

Published on 15 Apr 2026 - 18:14

score 306 · Answer 8 · 2026-04-11 23:31:18

306

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Given a Fourier series $f(x)$: What's the difference between the value the expansion takes for given $x$ and the value it converges to for given $x$?

Published on 11 Apr 2026 - 23:31

score 253 · Answer 9 · 2026-04-14 19:38:35

253

Views

Fouriertransform : Determine the inverse Fourier transform

Published on 14 Apr 2026 - 19:38

score 598 · Answer 10 · 2026-04-11 09:58:07

598

Views

How does one set coefficients of the sawtooth wave using Fourier series?

Published on 11 Apr 2026 - 9:58

score 65 · Answer 11 · 2026-04-15 19:56:12

65

Views

Find the Fourier Sine series of $x-\frac{1}{2}$ on the interval $0<x<1$

Published on 15 Apr 2026 - 19:56

score 413 · Answer 12 · 2026-04-11 15:24:15

413

Views

Infinite matrix SIGNIFICANT PROGRESS BUT STUCK defines compact operator on $ l^2 $

Published on 11 Apr 2026 - 15:24

score 727 · Answer 13 · 2026-04-11 04:20:52

727

Views

Infinitely differentiable of Fourier solution to heat equation

Published on 11 Apr 2026 - 4:20

score 415 · Answer 14 · 2026-04-09 08:06:56

415

Views

Fourier transform with branch cuts

Published on 09 Apr 2026 - 8:06

score 991 · Answer 15 · 2026-04-11 05:33:04

991

Views

fourier series of unknown functions

Published on 11 Apr 2026 - 5:33

List Question

Understanding orthogonality of functions in the context of Fourier series

Does a Fourier series always have period $2\pi$?

Translation of a certain proof of $(\sum k)^2 = \sum k^3 $

The convergence rate of Fourier series coefficient for analytic function

Why calculate fourier series component for k=0?

Verify that $\frac{\pi}{4} = 1-\frac{1}{3}+\frac{1}{5}-\frac{1}{7}+....$ can be found via a Fourier series for $x$ in $-\pi\lt x \le \pi$

what is it if the Fourier series is $\sum_{n=1}^\infty \frac{\cos 2n\pi x}{n^{s+1}}$

Given a Fourier series $f(x)$: What's the difference between the value the expansion takes for given $x$ and the value it converges to for given $x$?

Fouriertransform : Determine the inverse Fourier transform

How does one set coefficients of the sawtooth wave using Fourier series?

Find the Fourier Sine series of $x-\frac{1}{2}$ on the interval $0<x<1$

Infinite matrix SIGNIFICANT PROGRESS BUT STUCK defines compact operator on $ l^2 $

Infinitely differentiable of Fourier solution to heat equation

Fourier transform with branch cuts

fourier series of unknown functions

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