Question

Complex Fourier series of $f(\theta) = e^{\theta}$

score 704 · Answer 1 · 2014-03-21 07:34:33

704

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Complex Fourier series of $f(\theta) = e^{\theta}$

Published on 21 Mar 2014 - 7:34

score 2.4k · Answer 2 · 2014-03-24 00:38:14

2.4k

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Uniqueness of Fourier Coefficients

Published on 24 Mar 2014 - 0:38

score 101 · Answer 3 · 2014-03-24 06:36:51

101

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Finding the number of derivatives for series problems

Published on 24 Mar 2014 - 6:36

score 192 · Answer 4 · 2026-03-25 04:42:57

192

Views

Difference between almost everywhere convergence of whole Fourier series and a subseries of $L^2$ functions

Published on 25 Mar 2026 - 4:42

score 206 · Answer 5 · 2014-03-27 02:28:25

A series from a physics problem: $\sum_{k = 0}^{\infty}\frac{2}{2k + 1}e^{-(2k + 1)\pi x/a}\sin\left( \frac{(2k + 1)\pi y}{a}\right)$

score 1.3k · Answer 6 · 2014-03-27 18:22:29

1.3k

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Finding complex Fourier coefficients

Published on 27 Mar 2014 - 18:22

score 538 · Answer 7 · 2014-03-28 13:03:22

538

Views

Discontinuous functions with finite Fourier series approximation?

Published on 28 Mar 2014 - 13:03

score 74 · Answer 8 · 2026-03-29 20:54:13

74

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Fourier expansion of the complexified Gram series

Published on 29 Mar 2026 - 20:54

score 195 · Answer 9 · 2026-03-25 06:41:01

195

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Calculating Fourier expansion using Legendre Polynomials

Published on 25 Mar 2026 - 6:41

score 497 · Answer 10 · 2014-03-30 23:46:07

497

Views

Fourier Series/Parseval's Theorem

Published on 30 Mar 2014 - 23:46

score 924 · Answer 11 · 2026-03-27 18:57:01

924

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Fourier decomposition of the Mandelbrot set

Published on 27 Mar 2026 - 18:57

score 1.3k · Answer 12 · 2026-03-25 06:00:16

1.3k

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Hölder Condition for Fourier Series

Published on 25 Mar 2026 - 6:00

score 83 · Answer 13 · 2014-04-02 10:20:52

83

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Contradiction between $a_0$ and $a_k$ for Fourier Series

Published on 02 Apr 2014 - 10:20

score 91 · Answer 14 · 2014-04-02 12:34:43

91

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Prove $\frac1T \int_0^T\left(\sum_{k=-\infty}^{\infty}c_ke^{j{\frac{2\pi kt}{T}}}\right)^2dt= \sum_{k=-\infty}^{\infty}|c_k|^2$

Published on 02 Apr 2014 - 12:34

score 54 · Answer 15 · 2014-04-02 22:42:29

54

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This $\int_{- \frac{\pi}{2}}^{\frac{\pi}{2}} \frac{e^{in x}dx}{1+\tan^m(x)}$ integral: does a closed form exist?

Published on 02 Apr 2014 - 22:42

List Question

Complex Fourier series of $f(\theta) = e^{\theta}$

Uniqueness of Fourier Coefficients

Finding the number of derivatives for series problems

Difference between almost everywhere convergence of whole Fourier series and a subseries of $L^2$ functions

A series from a physics problem: $\sum_{k = 0}^{\infty}\frac{2}{2k + 1}e^{-(2k + 1)\pi x/a}\sin\left( \frac{(2k + 1)\pi y}{a}\right)$

Finding complex Fourier coefficients

Discontinuous functions with finite Fourier series approximation?

Fourier expansion of the complexified Gram series

Calculating Fourier expansion using Legendre Polynomials

Fourier Series/Parseval's Theorem

Fourier decomposition of the Mandelbrot set

Hölder Condition for Fourier Series

Contradiction between $a_0$ and $a_k$ for Fourier Series

Prove $\frac1T \int_0^T\left(\sum_{k=-\infty}^{\infty}c_ke^{j{\frac{2\pi kt}{T}}}\right)^2dt= \sum_{k=-\infty}^{\infty}|c_k|^2$

This $\int_{- \frac{\pi}{2}}^{\frac{\pi}{2}} \frac{e^{in x}dx}{1+\tan^m(x)}$ integral: does a closed form exist?

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