Question

Connection between autocovariances and Fourier series of a continous function.

score 49 · Answer 1 · 2026-04-09 12:10:06

Connection between autocovariances and Fourier series of a continous function.

Published on 09 Apr 2026 - 12:10

score 43 · Answer 2 · 2026-04-13 02:26:03

Can a fourier series generated for a function f(x) on some interval be used to calculate the value for f(x) for all x, even outside that interval?

score 50 · Answer 3 · 2026-04-10 01:45:40

50

Views

Fourier series for a Sinusoid in a conventional way?

Published on 10 Apr 2026 - 1:45

score 79 · Answer 4 · 2026-04-13 01:46:15

79

Views

How to derive the complex Fourier series of $s(t) = 1-e^{-2t}$?

Published on 13 Apr 2026 - 1:46

score 90 · Answer 5 · 2026-04-12 17:53:34

Can you define a Fourier series for $f(x)$ for any interval you want, even for which $f(x)$ is not periodic on that interval?

score 60 · Answer 6 · 2026-04-13 13:45:34

60

Views

Why is the period of the function you are generating a fourier series for important?

Published on 13 Apr 2026 - 13:45

score 64 · Answer 7 · 2026-04-12 21:37:54

64

Views

Calculating values of integrals using Fourier series and uniform convergence

Published on 12 Apr 2026 - 21:37

score 193 · Answer 8 · 2026-04-13 11:29:21

193

Views

How to prove that this series converges uniformly?

Published on 13 Apr 2026 - 11:29

score 609 · Answer 9 · 2026-04-13 14:55:48

609

Views

Closed form of a series (dilogarithm)

Published on 13 Apr 2026 - 14:55

score 154 · Answer 10 · 2026-04-11 19:20:22

154

Views

Where does the $2 \pi$ come from in the Fourier Transform Equation?

Published on 11 Apr 2026 - 19:20

score 902 · Answer 11 · 2015-08-28 22:34:59

902

Views

'Converse' of Riemann-Lebesgue Lemma

Published on 28 Aug 2015 - 22:34

score 281 · Answer 12 · 2026-04-11 21:56:49

281

Views

Growth of Fourier coefficients of piecewise linear function

Published on 11 Apr 2026 - 21:56

score 1.3k · Answer 13 · 2026-04-11 18:15:11

1.3k

Views

Fourier series of half of $\sin(\pi x)$

Published on 11 Apr 2026 - 18:15

score 414 · Answer 14 · 2026-04-12 02:06:42

414

Views

Fourier expansion and transform - what about the phase of the waves that i am adding?

Published on 12 Apr 2026 - 2:06

score 52 · Answer 15 · 2026-04-11 03:19:29

52

Views

Given a spectrum, what can we know about its function?

Published on 11 Apr 2026 - 3:19

List Question

Connection between autocovariances and Fourier series of a continous function.

Can a fourier series generated for a function f(x) on some interval be used to calculate the value for f(x) for all x, even outside that interval?

Fourier series for a Sinusoid in a conventional way?

How to derive the complex Fourier series of $s(t) = 1-e^{-2t}$?

Can you define a Fourier series for $f(x)$ for any interval you want, even for which $f(x)$ is not periodic on that interval?

Why is the period of the function you are generating a fourier series for important?

Calculating values of integrals using Fourier series and uniform convergence

How to prove that this series converges uniformly?

Closed form of a series (dilogarithm)

Where does the $2 \pi$ come from in the Fourier Transform Equation?

'Converse' of Riemann-Lebesgue Lemma

Growth of Fourier coefficients of piecewise linear function

Fourier series of half of $\sin(\pi x)$

Fourier expansion and transform - what about the phase of the waves that i am adding?

Given a spectrum, what can we know about its function?

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