Question

Use symmetry and odd/even function considerations to find the Fourier series of $f(x)=\cos\left(\frac{x}{2}\right)$ on $[-\pi,\pi]$

score 114 · Answer 1 · 2019-03-07 22:02:32

114

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Use symmetry and odd/even function considerations to find the Fourier series of $f(x)=\cos\left(\frac{x}{2}\right)$ on $[-\pi,\pi]$

Published on 07 Mar 2019 - 22:02

score 81 · Answer 2 · 2019-03-07 23:12:22

81

Views

What are Fourier Coefficients with respect to a circle action

Published on 07 Mar 2019 - 23:12

score 39 · Answer 3 · 2026-03-25 16:01:38

39

Views

How can I find the following one dimensional heat conduction solution?

Published on 25 Mar 2026 - 16:01

score 1.1k · Answer 4 · 2026-03-25 09:29:23

1.1k

Views

Calculating Fourier series of $\cos^2(t)$ gives unexpected result

Published on 25 Mar 2026 - 9:29

score 334 · Answer 5 · 2019-03-09 18:28:10

334

Views

Estimate for the Fourier coefficients

Published on 09 Mar 2019 - 18:28

score 75 · Answer 6 · 2019-03-09 18:42:40

75

Views

Find the function $f$ $\in$ $C[-\pi,\pi]$ such that $|| f - g ||_{2}$ is minimized?

Published on 09 Mar 2019 - 18:42

score 2.2k · Answer 7 · 2019-03-10 01:42:01

2.2k

Views

Fourier Series Exponential Representation

Published on 10 Mar 2019 - 1:42

score 909 · Answer 8 · 2019-03-10 08:13:46

909

Views

Does any $L_1(-\pi, \pi)$ function whose Fourier coefficients are 0 equal 0 a.e.?

Published on 10 Mar 2019 - 8:13

score 854 · Answer 9 · 2026-03-25 16:01:24

854

Views

What functions can be represented as a series of eigenfunctions

Published on 25 Mar 2026 - 16:01

score 116 · Answer 10 · 2019-03-11 19:09:08

116

Views

Fourier series of $f(x)=\int\limits_0^x \ln\sqrt{\frac{1}{2}\left| 1+\sqrt3 \tan\frac{t}{2} \right|} \ \text dt$

Published on 11 Mar 2019 - 19:09

score 91 · Answer 11 · 2019-03-12 15:55:06

91

Views

Condition on Uniform Convergence of Fourier Series

Published on 12 Mar 2019 - 15:55

score 225 · Answer 12 · 2026-03-25 19:02:47

225

Views

Heat Equation: Separation of Variables - Can't find solution

Published on 25 Mar 2026 - 19:02

score 247 · Answer 13 · 2019-03-12 21:15:39

247

Views

Riemann's Lemma as a corollary of Bessel's Inequality

Published on 12 Mar 2019 - 21:15

score 410 · Answer 14 · 2019-03-13 00:11:05

410

Views

Show that there is a continuous function $g$ on $[-\pi,\pi]$ satisfying $||f-g||_{2} < \epsilon$

Published on 13 Mar 2019 - 0:11

score 83 · Answer 15 · 2019-03-14 09:28:59

83

Views

Fourier series expansion of $\exp(\sum_{j=1}^{\infty}a_{j}\exp(ijλ))$

Published on 14 Mar 2019 - 9:28

List Question

Use symmetry and odd/even function considerations to find the Fourier series of $f(x)=\cos\left(\frac{x}{2}\right)$ on $[-\pi,\pi]$

What are Fourier Coefficients with respect to a circle action

How can I find the following one dimensional heat conduction solution?

Calculating Fourier series of $\cos^2(t)$ gives unexpected result

Estimate for the Fourier coefficients

Find the function $f$ $\in$ $C[-\pi,\pi]$ such that $|| f - g ||_{2}$ is minimized?

Fourier Series Exponential Representation

Does any $L_1(-\pi, \pi)$ function whose Fourier coefficients are 0 equal 0 a.e.?

What functions can be represented as a series of eigenfunctions

Fourier series of $f(x)=\int\limits_0^x \ln\sqrt{\frac{1}{2}\left| 1+\sqrt3 \tan\frac{t}{2} \right|} \ \text dt$

Condition on Uniform Convergence of Fourier Series

Heat Equation: Separation of Variables - Can't find solution

Riemann's Lemma as a corollary of Bessel's Inequality

Show that there is a continuous function $g$ on $[-\pi,\pi]$ satisfying $||f-g||_{2} < \epsilon$

Fourier series expansion of $\exp(\sum_{j=1}^{\infty}a_{j}\exp(ijλ))$

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